Parity paper proposal
Azimuthal Charged-Particle Correlations
and Possible Local Strong Parity Violation
Published in Phys. Rev. Lett. 103, 251601 (2009)
Abstract
Parity-odd domains, corresponding to nontrivial topological solutions of the QCD vacuum,
might be created during relativistic heavy-ion collisions.
These domains are predicted to lead to charge separation of quarks along the system’s orbital momentum axis.
We investigate a three-particle azimuthal correlator which is a P even observable,
but directly sensitive to the charge separation effect.
We report measurements of charged hadrons near center-of-mass rapidity
with this observable in Au+Au and Cu+Cu collisions at √sNN=200 GeV using the STAR detector.
A signal consistent with several expectations from the theory is detected.
We discuss possible contributions from other effects that are not related to parity violation.
Observation of charge-dependent azimuthal correlations
and possible local strong parity violation in heavy-ion collision
Published in Phys. Rev. C 81, 054908 (2010)
Abstract
Parity (P)-odd domains, corresponding to nontrivial topological solutions of the QCD vacuum,
might be created during relativistic heavy-ion collisions.
These domains are predicted to lead to charge separation of quarks
along the orbital momentum of the system created in noncentral collisions.
To study this effect, we investigate a three-particle mixed-harmonics azimuthal correlator
which is a P-even observable, but directly sensitive to the charge-separation effect.
We report measurements of this observable using the STAR detector in Au+Au and Cu+Cu collisions at √sNN=200 and 62 GeV.
The results are presented as a function of collision centrality,
particle separation in rapidity, and particle transverse momentum.
A signal consistent with several of the theoretical expectations is detected in all four data sets.
We compare our results to the predictions of existing event generators and
discuss in detail possible contributions from other effects that are not related to P violation.
Data & figures
Principal authors
- Wayne State: Sergei Voloshin
- Indiana: Ilya Selyuzhenkov
- BNL: Vasily Dzordzhadze, Ron Longacre, Yannis Semertzidis, Paul Sorensen
- UCLA: Gang Wang, Dhevan Gangadharan
- Yale: Jack Sandweiss, Evan Finch, Alexey Chikanian, Richard Majka
- LBNL: Jim Thomas
- MEPhI: Vitaly Okorokov
GPC members
- Carl Gagliardi, Chair
- Ernst Sichtermann, Member
- Peter Seyboth, Member
- Mike Lisa, PWG representative
- Spencer Klein, English/Grammar QA
- Jin-Hui Chen, Analysis Code QA
- Sergei Voloshin, PA Representative
- Jack Sandweiss, PA Representative
Collaboration Comments
GPC Comments
Support document
- STAR note PSN0475
- More support documents
- Software repository
- Parity group meetings
PRC paper draft version history
Source files: LaTeX and macros
Previous versions:
01 02 03 04 05 06 07 08 09 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 prc2
PRL paper draft version history
Source files: LaTeX and macros
Previous versions:
01 02 03 04 05 06 07 08 09 10
11 12 13 14 15 16 17 18toPRL
PRC data
Data points and figures for the paper titled:
"Observation of charge-dependent azimuthal correlations and
possible local strong parity violation in heavy ion collisions"
Figure 1: png, eps
Figure 2a: macro, png, eps
| cos(a+b-2c)*RefMult (Au+Au@200GeV, RFF) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| RefMult | a+,b+,c- | stat err | a-,b-,c- | stat err | a-,b-,c+ | stat err | a+,b+,c+ | stat err | a+,b-,c- | stat err | a+,b-,c+ | stat err |
| 15 | -0.00232407 | 0.000829793 | 0.000119327 | 0.00138676 | -0.000155248 | 0.000836209 | 0.000377743 | 0.00134908 | 0.00231604 | 0.000591495 | 0.00114578 | 0.000585172 |
| 45 | -0.00220487 | 0.000277435 | -0.00154608 | 0.000300603 | -0.00166599 | 0.000281433 | -0.0014893 | 0.000290075 | 0.00020804 | 0.000198749 | 0.000580582 | 0.000196687 |
| 75 | -0.00224734 | 0.000235853 | -0.00207896 | 0.000248034 | -0.00228668 | 0.000241471 | -0.00231991 | 0.000239425 | 0.00036892 | 0.000170228 | 0.000448703 | 0.000168455 |
| 105 | -0.00289638 | 0.000226039 | -0.00233147 | 0.000236072 | -0.00241574 | 0.000230331 | -0.0026543 | 0.000227916 | 0.000387332 | 0.000163583 | 0.000249001 | 0.000161912 |
| 135 | -0.00262571 | 0.000222697 | -0.00235069 | 0.000230554 | -0.00296293 | 0.000226604 | -0.00291115 | 0.000223666 | 0.000210685 | 0.000160256 | 6.98659e-05 | 0.00015921 |
| 165 | -0.00279487 | 0.000218518 | -0.00256624 | 0.000226913 | -0.00262333 | 0.000224352 | -0.00291613 | 0.000220794 | -0.000146566 | 0.000159207 | 9.08978e-05 | 0.000158999 |
| 195 | -0.00295961 | 0.000219526 | -0.00246627 | 0.000226296 | -0.00275933 | 0.000224655 | -0.0028007 | 0.000219746 | 1.59922e-05 | 0.000158547 | 8.94614e-05 | 0.000159038 |
| 225 | -0.00260667 | 0.000214571 | -0.00231615 | 0.000223414 | -0.00217615 | 0.000219907 | -0.00258728 | 0.000215569 | -0.000133701 | 0.000157142 | -3.46813e-06 | 0.000156503 |
| 255 | -0.00192389 | 0.000215148 | -0.00231561 | 0.000219962 | -0.00208204 | 0.000219112 | -0.00221258 | 0.000212905 | 0.000163299 | 0.000154749 | 0.000284978 | 0.000154216 |
| 285 | -0.00219529 | 0.000208311 | -0.00166138 | 0.000216016 | -0.00199152 | 0.000213699 | -0.00186841 | 0.000207701 | -6.27691e-05 | 0.000152382 | 1.29396e-05 | 0.000150959 |
| 315 | -0.00270664 | 0.000205232 | -0.00209181 | 0.000212923 | -0.00192307 | 0.000210769 | -0.0021717 | 0.000204519 | -0.000295788 | 0.000149399 | -0.000228133 | 0.000148715 |
| 345 | -0.00180793 | 0.000199707 | -0.0015465 | 0.000206451 | -0.00106008 | 0.000205592 | -0.00122987 | 0.00019939 | -0.000131745 | 0.000145381 | 0.000203784 | 0.000146057 |
| 375 | -0.00168947 | 0.000198789 | -0.00153055 | 0.000205673 | -0.0011612 | 0.000202903 | -0.00167602 | 0.000197431 | -0.000356638 | 0.000146453 | -7.43794e-05 | 0.000144508 |
| 405 | -0.00143713 | 0.000191464 | -0.00121617 | 0.000197463 | -0.000904646 | 0.000195544 | -0.00141614 | 0.000190911 | -0.000269779 | 0.000140161 | 4.65348e-05 | 0.00013893 |
| 435 | -0.00108155 | 0.000188747 | -0.00106764 | 0.000195579 | -0.000813369 | 0.000192186 | -0.0010527 | 0.000186647 | -0.000391462 | 0.00013766 | -0.000194741 | 0.00013675 |
| 465 | -0.000745431 | 0.000182591 | -0.000465976 | 0.000190779 | -0.000162135 | 0.000189958 | -0.000753386 | 0.000182575 | -8.77953e-05 | 0.000134289 | 0.000120421 | 0.00013325 |
| 495 | -0.000725871 | 0.000179685 | -0.000680639 | 0.000186129 | -0.000581522 | 0.000182518 | -0.000663292 | 0.000176886 | -0.000319672 | 0.000130575 | 5.32e-05 | 0.000128714 |
| 525 | -0.000798782 | 0.000177661 | -0.000672209 | 0.00018295 | -0.000177874 | 0.000182432 | -0.000499309 | 0.000175048 | -0.000486717 | 0.00012978 | -0.00021756 | 0.000129396 |
| 555 | -0.000812354 | 0.000178516 | -0.000743912 | 0.000185105 | 0.000146604 | 0.000181387 | -0.000798392 | 0.000177413 | -0.000344484 | 0.000130837 | -5.04185e-07 | 0.000128817 |
| 585 | -0.000538112 | 0.000193801 | -0.00034451 | 0.000201309 | 0.000328942 | 0.000199141 | -0.000354971 | 0.000191926 | -0.000362969 | 0.000142144 | 3.15027e-05 | 0.000140287 |
| 615 | -0.000615069 | 0.000246748 | -0.000835844 | 0.000255874 | 6.13817e-05 | 0.000256199 | -0.000508298 | 0.000245614 | -0.00064337 | 0.00018173 | -9.52957e-05 | 0.000180022 |
| 645 | -0.000836006 | 0.000395658 | -0.000938061 | 0.000412778 | 0.000594157 | 0.000405245 | -0.000828964 | 0.000395171 | -0.00061075 | 0.000295881 | -0.000105171 | 0.000289835 |
| 675 | -0.000507544 | 0.000915657 | -0.00212875 | 0.000995109 | -0.00113305 | 0.000952714 | 0.000193596 | 0.000840556 | -0.0015933 | 0.000670818 | -0.000423606 | 0.000637297 |
Figure 2b: macro, png, eps
| cos(a+b-2c)*RefMult (Au+Au@200GeV, RFF) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| RefMult | a+,b+,c- | stat err | a-,b-,c- | stat err | a-,b-,c+ | stat err | a+,b+,c+ | stat err | a+,b-,c- | stat err | a+,b-,c+ | stat err |
| 15 | -0.00119735 | 0.000782732 | 0.00141434 | 0.00130906 | -0.00176007 | 0.000790662 | 0.000310067 | 0.00127807 | 0.00126299 | 0.000557027 | 0.0015828 | 0.00055348 |
| 45 | -0.0018582 | 0.000261521 | -0.00107675 | 0.000283461 | -0.00145127 | 0.000265101 | -0.00158609 | 0.000273429 | 0.000530898 | 0.000187481 | 0.000905114 | 0.000185466 |
| 75 | -0.00266332 | 0.00022381 | -0.00245264 | 0.000234264 | -0.00288736 | 0.000226644 | -0.00226594 | 0.000226426 | 0.000207821 | 0.000160527 | 0.000401931 | 0.000159358 |
| 105 | -0.00307452 | 0.000214363 | -0.00259794 | 0.000221475 | -0.00254143 | 0.000216506 | -0.00284109 | 0.000214977 | 0.000120955 | 0.000153917 | -7.68965e-05 | 0.000152917 |
| 135 | -0.00266785 | 0.000209746 | -0.0029161 | 0.00021775 | -0.00278005 | 0.000213925 | -0.00251862 | 0.000209804 | 0.000311951 | 0.000151608 | 0.000345262 | 0.000149951 |
| 165 | -0.00240619 | 0.000208276 | -0.00248683 | 0.00021448 | -0.00253635 | 0.000212185 | -0.00253094 | 0.000208382 | 0.000179285 | 0.00015089 | 0.000178993 | 0.000149726 |
| 195 | -0.00288223 | 0.000206074 | -0.00257086 | 0.000211281 | -0.00291019 | 0.000209375 | -0.00280884 | 0.000205487 | -0.000196658 | 0.000148795 | -9.38108e-06 | 0.00014791 |
| 225 | -0.00202028 | 0.000202762 | -0.00272478 | 0.000209651 | -0.0027715 | 0.000207847 | -0.00257345 | 0.000202847 | 3.09283e-05 | 0.00014773 | -5.2055e-06 | 0.000146131 |
| 255 | -0.0021495 | 0.000201407 | -0.00237099 | 0.000205874 | -0.0022738 | 0.000205139 | -0.00218616 | 0.000200559 | 0.000110512 | 0.000145917 | -4.72896e-05 | 0.000145991 |
| 285 | -0.00209165 | 0.000196196 | -0.00190663 | 0.000202658 | -0.00185677 | 0.000200848 | -0.00203046 | 0.000196446 | -6.56069e-05 | 0.000142769 | -3.25727e-05 | 0.00014249 |
| 315 | -0.00205665 | 0.000194764 | -0.00196416 | 0.000199537 | -0.00180705 | 0.000198055 | -0.00193224 | 0.000196714 | -1.34144e-05 | 0.000141358 | 5.5005e-05 | 0.000141089 |
| 345 | -0.00158329 | 0.000190464 | -0.00173496 | 0.000194188 | -0.00152631 | 0.000192842 | -0.00125894 | 0.00019119 | -0.000199262 | 0.000137769 | -2.91883e-06 | 0.000137282 |
| 375 | -0.00138797 | 0.000186862 | -0.00142499 | 0.000190709 | -0.00145592 | 0.000191195 | -0.001454 | 0.00018594 | 6.99359e-05 | 0.000135781 | 4.68298e-05 | 0.000135455 |
| 405 | -0.000723951 | 0.000181713 | -0.00100372 | 0.000185086 | -0.00131307 | 0.000183369 | -0.000940146 | 0.000180194 | -7.51175e-06 | 0.000131871 | -0.000139492 | 0.000131496 |
| 435 | -0.000766659 | 0.000178159 | -0.00105217 | 0.000180895 | -0.00113949 | 0.000178557 | -0.00136478 | 0.000176904 | -6.56264e-05 | 0.000129327 | -0.000363394 | 0.000127815 |
| 465 | -0.000500216 | 0.000174094 | -0.000538272 | 0.000177052 | -0.00103208 | 0.000175118 | -0.00112507 | 0.000173217 | 0.000155409 | 0.000127064 | -0.000304409 | 0.000125367 |
| 495 | -0.000257138 | 0.000173719 | -0.000884924 | 0.000173404 | -0.000674623 | 0.000172236 | -0.00075774 | 0.000173421 | 0.000115562 | 0.000125306 | -0.000285744 | 0.000124288 |
| 525 | 0.000282244 | 0.000170412 | -0.000657846 | 0.000170241 | -0.000822593 | 0.000168472 | -0.0006236 | 0.000169028 | -3.3225e-05 | 0.000122343 | -0.000391094 | 0.000121394 |
| 555 | 0.000304678 | 0.00017222 | -0.000187598 | 0.000172656 | -0.000344014 | 0.000171608 | -0.000933102 | 0.000172892 | 6.51062e-05 | 0.000124103 | -0.000474486 | 0.000124162 |
| 585 | 0.000391631 | 0.00018731 | -6.40869e-05 | 0.000187354 | -0.000245166 | 0.000184335 | -0.000729846 | 0.000186198 | 5.64022e-05 | 0.000134461 | -0.000417892 | 0.000134246 |
| 615 | 0.000453731 | 0.000237114 | -0.000511197 | 0.000236937 | -0.000434279 | 0.00023581 | -0.000488006 | 0.000239164 | -0.000138194 | 0.000172102 | -0.000487355 | 0.000170899 |
| 645 | 0.00048092 | 0.000389158 | -0.000781413 | 0.000386339 | -0.000576723 | 0.000384747 | -0.000666297 | 0.000382087 | -0.000148727 | 0.000279319 | -0.00107329 | 0.000278086 |
| 675 | 7.2823e-05 | 0.000827774 | -0.00260246 | 0.00087763 | -0.00179739 | 0.000899376 | -6.50901e-05 | 0.00086316 | -0.000651071 | 0.000623772 | -0.00149888 | 0.000614766 |
Figure 3a: macro, png, eps
| cos(a+b-2c)*RefMult (Au+Au@200GeV, RFF) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| RefMult | a+,b+,c- | stat err | a-,b-,c- | stat err | a-,b-,c+ | stat err | a+,b+,c+ | stat err | a+,b-,c- | stat err | a+,b-,c+ | stat err |
| 15 | -0.00172275 | 0.00080013 | 0.00165907 | 0.00131368 | 0.000623248 | 0.000805069 | 0.00101825 | 0.00128021 | 0.0020568 | 0.000572078 | 0.00143423 | 0.000565018 |
| 45 | -0.00184205 | 0.000253366 | -0.00137248 | 0.000271211 | -0.00167964 | 0.000255719 | -0.00131341 | 0.000262315 | 0.00047535 | 0.000181264 | 0.000593759 | 0.000179433 |
| 75 | -0.0017237 | 0.000214724 | -0.00172083 | 0.00022594 | -0.00193095 | 0.000220501 | -0.00184999 | 0.000217018 | 0.000503599 | 0.00015536 | 0.000695341 | 0.000153855 |
| 105 | -0.00249692 | 0.000205677 | -0.002206 | 0.000214344 | -0.00215758 | 0.000209913 | -0.00243708 | 0.000207611 | 0.000348464 | 0.000149361 | 0.000342232 | 0.000147678 |
| 135 | -0.00234744 | 0.000202329 | -0.00242401 | 0.000208794 | -0.00263676 | 0.000205644 | -0.00251081 | 0.000202884 | 0.000184445 | 0.000146182 | 6.77287e-05 | 0.000144767 |
| 165 | -0.00259411 | 0.000198651 | -0.00256004 | 0.000204897 | -0.00258988 | 0.000203046 | -0.00267324 | 0.000199282 | -0.000216846 | 0.000144054 | 3.1985e-05 | 0.000143738 |
| 195 | -0.00275157 | 0.000197799 | -0.00238245 | 0.000203841 | -0.00255781 | 0.000202404 | -0.00257858 | 0.00019854 | 1.98542e-05 | 0.000143713 | 5.57649e-05 | 0.000143816 |
| 225 | -0.00255286 | 0.000193256 | -0.00219806 | 0.000200109 | -0.00212405 | 0.000197985 | -0.0025023 | 0.000193377 | -0.000153767 | 0.000141089 | -6.39296e-05 | 0.000140523 |
| 255 | -0.00191495 | 0.000192857 | -0.00211454 | 0.00019637 | -0.00203684 | 0.000194866 | -0.00207722 | 0.00018994 | 0.000260384 | 0.000138183 | 0.00031108 | 0.000137686 |
| 285 | -0.0019354 | 0.000184943 | -0.00156566 | 0.000193205 | -0.00168024 | 0.000190711 | -0.00181743 | 0.000184572 | -4.06885e-05 | 0.000135843 | -6.29732e-05 | 0.000134728 |
| 315 | -0.00232949 | 0.000181081 | -0.00197387 | 0.000186944 | -0.00192706 | 0.000184839 | -0.0020693 | 0.000179979 | -0.000316019 | 0.000132067 | -0.000196438 | 0.000130973 |
| 345 | -0.00162844 | 0.000174959 | -0.00151572 | 0.000180517 | -0.00109926 | 0.000179934 | -0.00111012 | 0.000175306 | -0.000137866 | 0.000128057 | 9.17983e-05 | 0.000127926 |
| 375 | -0.00142334 | 0.000172901 | -0.00160589 | 0.000177349 | -0.00137596 | 0.000174989 | -0.00147865 | 0.000171104 | -0.000217888 | 0.00012668 | -0.000194052 | 0.000125739 |
| 405 | -0.00122003 | 0.000164159 | -0.00125859 | 0.000168965 | -0.00108917 | 0.000166651 | -0.00120248 | 0.000163803 | -0.000165251 | 0.000119772 | -3.53924e-05 | 0.000118757 |
| 435 | -0.000999969 | 0.000160169 | -0.00105981 | 0.000165419 | -0.00100698 | 0.000163364 | -0.00088948 | 0.000157516 | -0.000369654 | 0.000116865 | -0.000169475 | 0.000115996 |
| 465 | -0.000731868 | 0.000152685 | -0.000522984 | 0.000159238 | -0.000384282 | 0.000158023 | -0.000650514 | 0.000152166 | -1.79267e-05 | 0.000112672 | -3.74745e-05 | 0.000111044 |
| 495 | -0.000692461 | 0.000147495 | -0.000498443 | 0.000152654 | -0.00046779 | 0.000148815 | -0.000659678 | 0.000146515 | -0.000138287 | 0.000107551 | 8.08487e-06 | 0.000105915 |
| 525 | -0.000739136 | 0.000142542 | -0.00082652 | 0.000149037 | -0.000758062 | 0.000147502 | -0.000509381 | 0.000142102 | -0.000316743 | 0.000105259 | -0.000413837 | 0.000104866 |
| 555 | -0.000636739 | 0.000141059 | -0.00049867 | 0.000146224 | -0.000193691 | 0.000143602 | -0.000599764 | 0.000139508 | -6.71995e-05 | 0.000103376 | -5.38327e-05 | 0.000101604 |
| 585 | -0.000293866 | 0.000152146 | -0.000116871 | 0.000155705 | -0.000125367 | 0.000153155 | -0.000158577 | 0.000149401 | 7.30972e-05 | 0.000111202 | -3.06928e-05 | 0.000109161 |
| 615 | -0.000531198 | 0.000190419 | -0.000132553 | 0.000195378 | -9.22203e-05 | 0.00019175 | -8.14068e-05 | 0.000187112 | -0.000117715 | 0.000138276 | -2.34579e-05 | 0.000137477 |
| 645 | -0.000562601 | 0.000304131 | -0.000603966 | 0.000311056 | -0.000124474 | 0.000307131 | -0.000472886 | 0.000295348 | -8.88681e-05 | 0.000222064 | -8.7338e-05 | 0.000219847 |
| 675 | 0.000284921 | 0.000671082 | -0.00048365 | 0.000740911 | -0.000763021 | 0.000695172 | 0.000479815 | 0.000637069 | -0.000553213 | 0.000498871 | -0.000215109 | 0.000465702 |
Figure 3b: macro, png, eps
| cos(a+b-2c)*RefMult (Au+Au@200GeV, RFF) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| RefMult | a+,b+,c- | stat err | a-,b-,c- | stat err | a-,b-,c+ | stat err | a+,b+,c+ | stat err | a+,b-,c- | stat err | a+,b-,c+ | stat err |
| 15 | -0.00118288 | 0.000755492 | 0.00274672 | 0.00124016 | -0.000884598 | 0.000764089 | 0.00178695 | 0.00121319 | 0.00160047 | 0.000540179 | 0.00152158 | 0.000537114 |
| 45 | -0.00163536 | 0.000238416 | -0.000880577 | 0.000256172 | -0.00116532 | 0.000241473 | -0.00123104 | 0.000247839 | 0.000771328 | 0.00017099 | 0.00101416 | 0.000169477 |
| 75 | -0.00230374 | 0.000203753 | -0.00197382 | 0.000213289 | -0.00244431 | 0.000206742 | -0.0019197 | 0.000205936 | 0.000274842 | 0.000146817 | 0.000526298 | 0.000145411 |
| 105 | -0.00274132 | 0.000195059 | -0.00233448 | 0.000201449 | -0.00217374 | 0.000197538 | -0.00240529 | 0.000195354 | 0.00018413 | 0.000140308 | 0.000149645 | 0.000139566 |
| 135 | -0.00235453 | 0.000190212 | -0.00266574 | 0.000197239 | -0.00266811 | 0.000194276 | -0.00216806 | 0.000190129 | 0.000163381 | 0.000137552 | 0.000352872 | 0.000136433 |
| 165 | -0.0022777 | 0.000188946 | -0.00230513 | 0.0001945 | -0.00233791 | 0.000192771 | -0.00230662 | 0.000188625 | 0.00031497 | 0.0001368 | 0.000200835 | 0.000136325 |
| 195 | -0.00258776 | 0.000185729 | -0.00235919 | 0.000190521 | -0.00253062 | 0.000189622 | -0.00266492 | 0.000185225 | -0.000175253 | 0.000134631 | -2.07776e-05 | 0.000134228 |
| 225 | -0.00210831 | 0.000182691 | -0.00269069 | 0.000188609 | -0.00253593 | 0.000186594 | -0.00239405 | 0.000182461 | -9.23975e-05 | 0.000133059 | 5.45061e-06 | 0.000131511 |
| 255 | -0.00220433 | 0.000179216 | -0.00229314 | 0.000183813 | -0.00189769 | 0.000182315 | -0.0021816 | 0.000178635 | 8.62471e-05 | 0.000131135 | -3.98901e-05 | 0.00013006 |
| 285 | -0.00200888 | 0.000173383 | -0.00178068 | 0.000180191 | -0.00178207 | 0.00017847 | -0.0021439 | 0.000173574 | 8.59283e-06 | 0.000126951 | -6.65482e-06 | 0.000126458 |
| 315 | -0.00214803 | 0.000171576 | -0.00180103 | 0.000175843 | -0.0016704 | 0.00017495 | -0.00184886 | 0.000171578 | -0.000293117 | 0.000124775 | -3.07117e-05 | 0.000124491 |
| 345 | -0.00150578 | 0.00016581 | -0.00155606 | 0.000169969 | -0.00149854 | 0.000168561 | -0.00138956 | 0.000166453 | -0.000305176 | 0.00012111 | -3.74732e-05 | 0.000120748 |
| 375 | -0.00138984 | 0.000160639 | -0.00144675 | 0.000165994 | -0.00134193 | 0.000165593 | -0.00127677 | 0.000160941 | -8.14137e-05 | 0.000117861 | 7.185e-05 | 0.000117081 |
| 405 | -0.00106732 | 0.000155193 | -0.000853155 | 0.000160479 | -0.00132125 | 0.00015863 | -0.00117253 | 0.000154124 | -0.000169148 | 0.00011341 | -0.000198113 | 0.000113296 |
| 435 | -0.00096973 | 0.00015061 | -0.00110841 | 0.00015356 | -0.000978545 | 0.000152016 | -0.00124619 | 0.00014854 | -0.000205668 | 0.00010943 | -0.000169186 | 0.000108129 |
| 465 | -0.000865632 | 0.000144477 | -0.000773993 | 0.000147544 | -0.00075589 | 0.00014658 | -0.000988087 | 0.000144413 | -0.000156505 | 0.000105476 | -8.25905e-05 | 0.000105574 |
| 495 | -0.000629378 | 0.000141127 | -0.000623762 | 0.000143276 | -0.000515873 | 0.000141474 | -0.000632128 | 0.000139918 | 6.58854e-05 | 0.000102925 | 0.000142795 | 0.000101104 |
| 525 | -0.000381192 | 0.000137028 | -0.000485868 | 0.000138853 | -0.000488811 | 0.000137325 | -0.000378744 | 0.000136093 | -0.000178399 | 9.94419e-05 | -0.000108842 | 9.83105e-05 |
| 555 | -0.000316557 | 0.000134775 | -0.000111786 | 0.000137465 | 7.7615e-07 | 0.000136395 | -0.000426477 | 0.000136284 | -9.9829e-05 | 9.84663e-05 | -8.30525e-05 | 9.82943e-05 |
| 585 | -0.000350289 | 0.000143513 | 0.000182359 | 0.000146112 | -9.86412e-05 | 0.000144097 | -0.000557966 | 0.000142452 | -0.00011028 | 0.000104773 | 5.28255e-06 | 0.00010358 |
| 615 | -0.000153503 | 0.000178495 | -0.000316752 | 0.000182944 | -8.82474e-05 | 0.000180418 | -0.000122322 | 0.000179179 | -0.000180061 | 0.000131985 | -3.1576e-06 | 0.000131158 |
| 645 | 3.13415e-05 | 0.000289844 | -0.000175759 | 0.00029405 | -0.000132801 | 0.000293864 | -0.000385774 | 0.000285481 | -0.000105264 | 0.000210399 | -0.000282981 | 0.0002095 |
| 675 | -0.000961933 | 0.00061171 | -0.00160522 | 0.000654816 | -0.0014611 | 0.000676154 | -0.000172568 | 0.000632494 | -0.000732413 | 0.000461202 | -0.000217323 | 0.000455566 |
Figure 4: macro, png, eps
| cos(a-b) (Au+Au@200GeV) | ||||||||
|---|---|---|---|---|---|---|---|---|
| centrality | a+,b+,RFF | stat err | a+,b+,FF | stat err | a+,b+,RFF,rec | stat err | a+,b+,FF,rec | stat err |
| 0-5% | -8.86702e-05 | 3.1494e-06 | -2.05859e-05 | 3.04804e-06 | -0.000168495 | 3.03309e-06 | -0.000162705 | 2.85059e-06 |
| 5-10% | -0.000119788 | 3.81749e-06 | -7.18677e-05 | 3.66278e-06 | -0.000181148 | 3.72233e-06 | -0.000184491 | 3.50367e-06 |
| 10-20% | -0.000155573 | 3.63068e-06 | -0.000113014 | 3.45109e-06 | -0.000201882 | 3.57819e-06 | -0.000201566 | 3.35781e-06 |
| 20-30% | -0.000194188 | 4.78392e-06 | -0.000156577 | 4.53122e-06 | -0.00022986 | 4.74422e-06 | -0.00022444 | 4.46332e-06 |
| 30-40% | -0.000225746 | 7.13899e-06 | -0.000205466 | 6.73095e-06 | -0.000256026 | 7.10758e-06 | -0.000262823 | 6.67312e-06 |
| 40-50% | -0.000307407 | 1.10278e-05 | -0.000280297 | 1.03934e-05 | -0.000335015 | 1.1001e-05 | -0.000328381 | 1.03454e-05 |
| 50-60% | -0.00037732 | 1.8344e-05 | -0.000316498 | 1.73495e-05 | -0.000403243 | 1.83161e-05 | -0.000364104 | 1.72965e-05 |
| 60-70% | -0.000412856 | 3.4088e-05 | -0.000395875 | 3.21498e-05 | -0.000444464 | 3.4053e-05 | -0.000444511 | 3.21068e-05 |
| 70-80% | -0.000395405 | 7.49043e-05 | -0.000502187 | 7.06954e-05 | -0.000443282 | 7.48502e-05 | -0.000558773 | 7.06495e-05 |
| centrality | a-,b-,RFF | stat err | a-,b-,FF | stat err | a-,b-,RFF,rec | stat err | a-,b-,FF,rec | stat err |
| 0-5% | -4.23982e-05 | 3.27251e-06 | -7.23853e-05 | 3.04403e-06 | -0.000164846 | 3.09367e-06 | -0.000172573 | 2.90564e-06 |
| 5-10% | -9.02915e-05 | 3.95928e-06 | -0.000113398 | 3.69743e-06 | -0.000186024 | 3.81234e-06 | -0.00018816 | 3.58831e-06 |
| 10-20% | -0.00013322 | 3.73725e-06 | -0.000150212 | 3.50427e-06 | -0.000207119 | 3.6521e-06 | -0.00020764 | 3.44415e-06 |
| 20-30% | -0.000169834 | 4.94047e-06 | -0.000183032 | 4.6365e-06 | -0.000226467 | 4.88231e-06 | -0.000224549 | 4.59557e-06 |
| 30-40% | -0.000223553 | 7.33453e-06 | -0.000218098 | 6.90505e-06 | -0.000270787 | 7.28437e-06 | -0.000250925 | 6.87058e-06 |
| 40-50% | -0.000281438 | 1.1311e-05 | -0.00026869 | 1.06921e-05 | -0.00032191 | 1.1268e-05 | -0.000296577 | 1.06634e-05 |
| 50-60% | -0.00031226 | 1.88279e-05 | -0.000306347 | 1.77804e-05 | -0.000350455 | 1.87885e-05 | -0.000332508 | 1.77539e-05 |
| 60-70% | -0.000367064 | 3.50004e-05 | -0.00035379 | 3.30926e-05 | -0.000410268 | 3.49581e-05 | -0.000381376 | 3.3064e-05 |
| 70-80% | -0.000293759 | 7.70607e-05 | -0.000326476 | 7.28294e-05 | -0.000352523 | 7.69997e-05 | -0.000366779 | 7.27886e-05 |
| centrality | a+,b-,RFF | stat err | a+,b-,FF | stat err | a+,b-,RFF,rec | stat err | a+,b-,FF,rec | stat err |
| 0-5% | 0.000424939 | 2.31175e-06 | 0.000443238 | 2.19887e-06 | 0.000346869 | 2.19632e-06 | 0.000345933 | 2.06688e-06 |
| 5-10% | 0.000489124 | 2.7938e-06 | 0.000502678 | 2.65378e-06 | 0.000427985 | 2.69959e-06 | 0.000426757 | 2.5451e-06 |
| 10-20% | 0.000589106 | 2.64708e-06 | 0.000606978 | 2.49965e-06 | 0.000540889 | 2.59415e-06 | 0.000546398 | 2.43789e-06 |
| 20-30% | 0.000783002 | 3.48093e-06 | 0.000790412 | 3.28528e-06 | 0.000745594 | 3.44144e-06 | 0.000743832 | 3.24192e-06 |
| 30-40% | 0.00105431 | 5.16729e-06 | 0.00106415 | 4.86426e-06 | 0.00102257 | 5.13271e-06 | 0.00102597 | 4.82798e-06 |
| 40-50% | 0.0014258 | 7.90983e-06 | 0.00143299 | 7.47055e-06 | 0.00139831 | 7.88178e-06 | 0.00140117 | 7.43894e-06 |
| 50-60% | 0.0019712 | 1.30566e-05 | 0.00198369 | 1.22975e-05 | 0.00194755 | 1.30298e-05 | 0.00195394 | 1.22702e-05 |
| 60-70% | 0.0027773 | 2.39013e-05 | 0.00276417 | 2.25773e-05 | 0.00275386 | 2.387e-05 | 0.0027375 | 2.25468e-05 |
| 70-80% | 0.00367447 | 5.03999e-05 | 0.0036616 | 4.75247e-05 | 0.00365069 | 5.03587e-05 | 0.00363606 | 4.74887e-05 |
Figure 5a: macro, png, eps
| cos(a+b-2c), Au+Au@200GeV | ||||||||
|---|---|---|---|---|---|---|---|---|
| centrality | a+,b+,c:TPC | stat err | a+,b-,c:TPC | stat err | a+,b+,c:FTPC | stat err | a+,b-,c:FTPC | stat err |
| 0-5% | -5.96721e-07 | 5.5117e-08 | -2.55699e-07 | 5.5855e-08 | -6.41226e-07 | 1.81669e-07 | 2.5831e-08 | 1.84138e-07 |
| 5-10% | -1.64821e-06 | 8.10821e-08 | -2.81993e-07 | 8.21354e-08 | -1.13344e-06 | 2.21699e-07 | -2.86037e-07 | 2.25777e-07 |
| 10-20% | -4.09157e-06 | 9.52417e-08 | -3.84498e-07 | 9.65213e-08 | -2.60373e-06 | 2.18703e-07 | -4.76965e-07 | 2.22735e-07 |
| 20-30% | -8.60045e-06 | 1.54341e-07 | -3.58936e-07 | 1.56032e-07 | -5.79343e-06 | 3.10131e-07 | -6.92628e-07 | 3.15673e-07 |
| 30-40% | -1.49098e-05 | 2.71298e-07 | -2.32776e-07 | 2.7367e-07 | -9.55976e-06 | 4.98736e-07 | -1.70223e-06 | 5.03745e-07 |
| 40-50% | -2.27881e-05 | 4.88193e-07 | 1.25892e-06 | 4.88311e-07 | -1.41551e-05 | 8.54669e-07 | -3.76008e-07 | 8.54506e-07 |
| 50-60% | -3.21049e-05 | 9.74197e-07 | 4.20594e-06 | 9.66534e-07 | -2.08122e-05 | 1.65346e-06 | 3.58043e-07 | 1.64207e-06 |
| 60-70% | -3.54594e-05 | 2.33159e-06 | 1.36972e-05 | 2.26937e-06 | -1.64447e-05 | 3.84159e-06 | 6.90105e-06 | 3.75026e-06 |
| 70-80% | -4.33681e-05 | 7.88093e-06 | 5.24459e-05 | 7.18626e-06 | -2.70608e-05 | 1.23561e-05 | 2.88167e-05 | 1.15359e-05 |
Figure 5b: macro, png, eps
| cos(a+b-2c)/v2c, Au+Au@200GeV | ||||||||
|---|---|---|---|---|---|---|---|---|
| centrality | a+,b+,c:TPC | stat err | a+,b-,c:TPC | stat err | a+,b+,c:FTPC | stat err | a+,b-,c:FTPC | stat err |
| 0-5% | -2.72475e-05 | 2.51676e-06 | -1.16758e-05 | 2.55046e-06 | -6.41226e-05 | 1.81669e-05 | 2.5831e-06 | 1.84138e-05 |
| 5-10% | -4.84767e-05 | 2.38477e-06 | -8.2939e-06 | 2.41575e-06 | -6.99655e-05 | 1.36851e-05 | -1.76566e-05 | 1.39369e-05 |
| 10-20% | -8.43622e-05 | 1.96375e-06 | -7.9278e-06 | 1.99013e-06 | -9.97598e-05 | 8.37942e-06 | -1.82745e-05 | 8.53391e-06 |
| 20-30% | -0.000139391 | 2.50148e-06 | -5.81744e-06 | 2.52889e-06 | -0.000163195 | 8.73608e-06 | -1.95107e-05 | 8.89221e-06 |
| 30-40% | -0.000212998 | 3.87569e-06 | -3.32537e-06 | 3.90957e-06 | -0.000232033 | 1.21052e-05 | -4.13161e-05 | 1.22268e-05 |
| 40-50% | -0.000310464 | 6.65112e-06 | 1.71515e-05 | 6.65273e-06 | -0.000330728 | 1.99689e-05 | -8.78524e-06 | 1.99651e-05 |
| 50-60% | -0.000449019 | 1.36251e-05 | 5.88244e-05 | 1.3518e-05 | -0.000503926 | 4.00354e-05 | 8.66932e-06 | 3.97595e-05 |
| 60-70% | -0.000531625 | 3.49563e-05 | 0.000205355 | 3.40235e-05 | -0.00046985 | 0.00010976 | 0.000197173 | 0.00010715 |
| 70-80% | -0.000791388 | 0.000143813 | 0.000957043 | 0.000131136 | -0.000800617 | 0.000365565 | 0.000852566 | 0.0003413 |
Figure 6: macro, png, eps
| cos(a+b-2*psi_RP), @200GeV | ||||||||
|---|---|---|---|---|---|---|---|---|
| centrality | a+,b+,Au+Au | stat err | a+,b-,Au+Au | stat err | a+,b+,Cu+Cu | stat err | a+,b-,Cu+Cu | stat err |
| 0-5% | -2.72475e-05 | 2.51676e-06 | -1.16758e-05 | 2.55046e-06 | -8.23628e-05 | 7.62553e-06 | 1.92707e-05 | 7.68691e-06 |
| 5-10% | -4.84767e-05 | 2.38477e-06 | -8.2939e-06 | 2.41575e-06 | -0.000120783 | 8.77766e-06 | 2.76513e-05 | 8.82822e-06 |
| 10-20% | -8.43622e-05 | 1.96375e-06 | -7.9278e-06 | 1.99013e-06 | -0.000170984 | 7.82902e-06 | 4.28017e-05 | 7.84248e-06 |
| 20-30% | -0.000139391 | 2.50148e-06 | -5.81744e-06 | 2.52889e-06 | -0.000268721 | 1.08416e-05 | 9.16021e-05 | 1.08158e-05 |
| 30-40% | -0.000212998 | 3.87569e-06 | -3.32537e-06 | 3.90957e-06 | -0.000360827 | 1.69498e-05 | 0.000133615 | 1.676e-05 |
| 40-50% | -0.000310464 | 6.65112e-06 | 1.71515e-05 | 6.65273e-06 | -0.000493512 | 2.87805e-05 | 0.00025283 | 2.82131e-05 |
| 50-60% | -0.000449019 | 1.36251e-05 | 5.88244e-05 | 1.3518e-05 | -0.000666972 | 5.33616e-05 | 0.000513905 | 5.13577e-05 |
| 60-70% | -0.000531625 | 3.49563e-05 | 0.000205355 | 3.40235e-05 | ||||
Figure 7: macro, png, eps
| cos(a+b-2*psi_RP), @62GeV | ||||||||
|---|---|---|---|---|---|---|---|---|
| centrality | a+,b+,Au+Au | stat err | a+,b-,Au+Au | stat err | a+,b+,Cu+Cu | stat err | a+,b-,Cu+Cu | stat err |
| 0-5% | -4.23757e-05 | 9.80556e-06 | -9.85927e-06 | 9.8707e-06 | -0.000137923 | 1.99364e-05 | -1.35041e-05 | 1.9788e-05 |
| 5-10% | -7.40968e-05 | 1.3952e-05 | -3.4003e-05 | 1.39647e-05 | -0.000133313 | 2.11755e-05 | 4.62115e-05 | 2.09978e-05 |
| 10-20% | -7.77459e-05 | 1.37515e-05 | 1.07891e-06 | 1.38198e-05 | -0.000247374 | 2.00311e-05 | 6.3563e-05 | 1.97561e-05 |
| 20-30% | -9.68171e-05 | 2.2324e-05 | 2.01104e-05 | 2.23629e-05 | -0.000369201 | 2.80701e-05 | 4.95976e-05 | 2.75378e-05 |
| 30-40% | -0.000265189 | 3.48369e-05 | 3.79756e-05 | 3.4502e-05 | -0.000561217 | 4.33221e-05 | 8.12112e-05 | 4.2098e-05 |
| 40-50% | -0.000293362 | 5.90266e-05 | 6.35767e-05 | 5.87266e-05 | -0.000648074 | 8.48062e-05 | 0.000255673 | 8.08942e-05 |
| 50-60% | -0.000699764 | 0.000112699 | 0.000119304 | 0.000109258 | -0.000846257 | 0.000139251 | 0.000556567 | 0.000128056 |
| 60-70% | -0.000612442 | 0.000169688 | 0.000259486 | 0.00015952 | ||||
Figure 8a: macro, png, eps
| cos(a+b-2*psi_RP)*Npart @200GeV | ||||||||
|---|---|---|---|---|---|---|---|---|
| centrality | a+,b+,Au+Au | stat err | a+,b-,Au+Au | stat err | a+,b+,Cu+Cu | stat err | a+,b-,Cu+Cu | stat err |
| 0-5% | -0.00959114 | 0.0008859 | -0.00410986 | 0.000897761 | -0.00905991 | 0.000838808 | 0.00211978 | 0.000845561 |
| 5-10% | -0.0144461 | 0.000710661 | -0.00247158 | 0.000719892 | -0.0108705 | 0.000789989 | 0.00248861 | 0.00079454 |
| 10-20% | -0.0197408 | 0.000459516 | -0.00185511 | 0.00046569 | -0.0126528 | 0.000579348 | 0.00316732 | 0.000580344 |
| 20-30% | -0.023139 | 0.000415246 | -0.000965695 | 0.000419796 | -0.0145109 | 0.000585448 | 0.00494651 | 0.000584054 |
| 30-40% | -0.0244947 | 0.000445705 | -0.000382417 | 0.000449601 | -0.0137114 | 0.000644092 | 0.00507738 | 0.00063688 |
| 40-50% | -0.0235953 | 0.000505486 | 0.00130351 | 0.000505608 | -0.0128313 | 0.000748294 | 0.00657358 | 0.000733541 |
| 50-60% | -0.0206549 | 0.000626756 | 0.00270592 | 0.000621826 | -0.0113385 | 0.000907147 | 0.00873639 | 0.000873081 |
| 60-70% | -0.0138223 | 0.000908865 | 0.00533923 | 0.000884612 | ||||
Figure 8b: macro, png, eps
| cos(a+b-2*psi_RP)*Npart @200GeV | ||||
|---|---|---|---|---|
| Npart | a+,b+,Au+Au | stat err | a+,b-,Au+Au | stat err |
| 352 | -0.00959114 | 0.0008859 | -0.00410986 | 0.000897761 |
| 298 | -0.0144461 | 0.000710661 | -0.00247158 | 0.000719892 |
| 234 | -0.0197408 | 0.000459516 | -0.00185511 | 0.00046569 |
| 166 | -0.023139 | 0.000415246 | -0.000965695 | 0.000419796 |
| 115 | -0.0244947 | 0.000445705 | -0.000382417 | 0.000449601 |
| 76 | -0.0235953 | 0.000505486 | 0.00130351 | 0.000505608 |
| 46 | -0.0206549 | 0.000626756 | 0.00270592 | 0.000621826 |
| 26 | -0.0138223 | 0.000908865 | 0.00533923 | 0.000884612 |
| Npart | a+,b+,Cu+Cu | stat err | a+,b-,Cu+Cu | stat err |
| 111 | -0.00905991 | 0.000838808 | 0.00211978 | 0.000845561 |
| 91 | -0.0108705 | 0.000789989 | 0.00248861 | 0.00079454 |
| 75 | -0.0126528 | 0.000579348 | 0.00316732 | 0.000580344 |
| 55 | -0.0145109 | 0.000585448 | 0.00494651 | 0.000584054 |
| 39 | -0.0137114 | 0.000644092 | 0.00507738 | 0.00063688 |
| 27 | -0.0128313 | 0.000748294 | 0.00657358 | 0.000733541 |
| 18 | -0.0113385 | 0.000907147 | 0.00873639 | 0.000873081 |
Figure 9a: macro, png, eps
| cos(a+b-2*psi_RP) Au+Au@200GeV, centrality 30-50% | ||||
|---|---|---|---|---|
| dEta | a+,b+ | stat err | a+,b- | stat err |
| 0.1 | -0.000368532 | 1.93889e-05 | 4.14406e-05 | 1.78412e-05 |
| 0.2 | -0.000389154 | 1.98726e-05 | -8.5758e-06 | 1.82828e-05 |
| 0.3 | -0.000347259 | 2.04233e-05 | -2.17184e-05 | 1.87871e-05 |
| 0.4 | -0.000337929 | 2.10514e-05 | -3.7387e-05 | 1.93519e-05 |
| 0.5 | -0.000320795 | 2.17202e-05 | -4.56147e-05 | 1.99689e-05 |
| 0.6 | -0.000253858 | 2.25244e-05 | -4.63337e-05 | 2.0705e-05 |
| 0.7 | -0.000243289 | 2.34104e-05 | -4.90444e-05 | 2.15174e-05 |
| 0.8 | -0.000194821 | 2.44235e-05 | -2.26662e-05 | 2.24388e-05 |
| 0.9 | -0.000128307 | 2.55614e-05 | 9.82823e-06 | 2.34838e-05 |
| 1 | -0.000139665 | 2.68826e-05 | 3.76055e-07 | 2.46838e-05 |
| 1.1 | -0.000157202 | 2.84018e-05 | -3.94043e-05 | 2.60877e-05 |
| 1.2 | -9.82126e-05 | 3.02467e-05 | -3.87571e-05 | 2.7755e-05 |
| 1.3 | -0.00013351 | 3.24966e-05 | -1.094e-05 | 2.98324e-05 |
| 1.4 | -5.1006e-05 | 3.53599e-05 | 5.02523e-05 | 3.24443e-05 |
| 1.5 | -8.56355e-05 | 3.91444e-05 | -4.80189e-05 | 3.5939e-05 |
| 1.6 | -7.14253e-06 | 4.41665e-05 | 6.23234e-05 | 4.05038e-05 |
| 1.7 | -2.42515e-05 | 5.16733e-05 | 2.97413e-05 | 4.74294e-05 |
| 1.8 | 2.20165e-05 | 6.47772e-05 | 4.78176e-05 | 5.94367e-05 |
| 1.9 | -3.14312e-05 | 9.57274e-05 | 0.000111678 | 8.77715e-05 |
Figure 9b: macro, png, eps
| cos(a+b-2*psi_RP) Au+Au@200GeV, centrality 10-30% | ||||
|---|---|---|---|---|
| dEta | a+,b+ | stat err | a+,b- | stat err |
| 0.1 | -0.000178186 | 7.71192e-06 | 9.75064e-07 | 7.05102e-06 |
| 0.2 | -0.000181655 | 7.90414e-06 | -2.75075e-05 | 7.22116e-06 |
| 0.3 | -0.000158958 | 8.13093e-06 | -2.05733e-05 | 7.43131e-06 |
| 0.4 | -0.000149535 | 8.38016e-06 | -1.5047e-05 | 7.65864e-06 |
| 0.5 | -0.000120495 | 8.65929e-06 | -2.38375e-05 | 7.91356e-06 |
| 0.6 | -8.84987e-05 | 8.97813e-06 | -1.28945e-05 | 8.2034e-06 |
| 0.7 | -0.000100496 | 9.33385e-06 | -1.49752e-05 | 8.52651e-06 |
| 0.8 | -7.0445e-05 | 9.73617e-06 | -1.47741e-05 | 8.89398e-06 |
| 0.9 | -6.66536e-05 | 1.01883e-05 | -1.02612e-05 | 9.30513e-06 |
| 1 | -4.44654e-05 | 1.07066e-05 | -8.59089e-06 | 9.7772e-06 |
| 1.1 | -4.15335e-05 | 1.13052e-05 | -1.29453e-05 | 1.03253e-05 |
| 1.2 | -3.13472e-05 | 1.20279e-05 | 4.08344e-06 | 1.09822e-05 |
| 1.3 | -2.383e-05 | 1.29182e-05 | -3.67355e-06 | 1.1798e-05 |
| 1.4 | 7.14438e-07 | 1.40503e-05 | 3.31434e-05 | 1.28203e-05 |
| 1.5 | -1.60998e-05 | 1.55438e-05 | 4.39071e-05 | 1.41923e-05 |
| 1.6 | -1.30926e-05 | 1.75606e-05 | 4.84666e-06 | 1.60348e-05 |
| 1.7 | 2.35002e-05 | 2.06112e-05 | 3.67761e-05 | 1.88143e-05 |
| 1.8 | 2.13627e-05 | 2.59566e-05 | -1.99469e-05 | 2.36932e-05 |
| 1.9 | 2.70098e-05 | 3.88126e-05 | 8.37627e-05 | 3.54448e-05 |
Figure 10a: macro, png, eps
| cos(a+b-2*psi_RP) Au+Au@200GeV, centrality 30-50% | ||||
|---|---|---|---|---|
| pt sum | a+,b+ | stat err | a+,b- | stat err |
| 0.25 | -1.86597e-05 | 4.82506e-05 | 0.000131891 | 4.19935e-05 |
| 0.35 | -0.000168404 | 3.47549e-05 | 3.46201e-05 | 3.01673e-05 |
| 0.45 | -0.000207891 | 3.34171e-05 | 2.86431e-05 | 2.89725e-05 |
| 0.55 | -0.000310941 | 3.43469e-05 | 2.34082e-05 | 2.97232e-05 |
| 0.65 | -0.000391535 | 3.63154e-05 | -4.26482e-05 | 3.13792e-05 |
| 0.75 | -0.000502117 | 3.98101e-05 | -4.886e-05 | 3.43433e-05 |
| 0.85 | -0.000540426 | 4.54117e-05 | 3.5897e-05 | 3.90816e-05 |
| 0.95 | -0.000683329 | 5.34133e-05 | -9.06207e-05 | 4.58721e-05 |
| 1.05 | -0.000827452 | 6.39604e-05 | -2.7063e-05 | 5.48576e-05 |
| 1.15 | -0.000948429 | 7.73027e-05 | -6.53509e-05 | 6.61969e-05 |
| 1.25 | -0.00109269 | 9.37443e-05 | -2.2286e-05 | 8.02133e-05 |
| 1.35 | -0.00128669 | 0.000113811 | -0.000143735 | 9.72948e-05 |
| 1.45 | -0.00128052 | 0.000138324 | -0.00029832 | 0.000118159 |
| 1.55 | -0.00173005 | 0.00016816 | -0.000110469 | 0.00014353 |
| 1.65 | -0.00192021 | 0.000207982 | -0.000200126 | 0.000177373 |
| 1.75 | -0.00201955 | 0.000261336 | 0.000103889 | 0.000222654 |
| 1.85 | -0.00216591 | 0.000331633 | 0.000207484 | 0.000282337 |
| 1.95 | -0.00218459 | 0.000426053 | -0.000256544 | 0.000362181 |
| 2.05 | -0.00196731 | 0.000554984 | 0.000610387 | 0.00047096 |
| 2.15 | -0.00223326 | 0.00073107 | -0.0010659 | 0.000620133 |
| 2.25 | -0.00276544 | 0.000976834 | 0.000875386 | 0.000827678 |
Figure 10b: macro, png, eps
| cos(a+b-2*psi_RP) Au+Au@200GeV, centrality 10-30% | ||||
|---|---|---|---|---|
| pt sum | a+,b+ | stat err | a+,b- | stat err |
| 0.25 | -2.06612e-05 | 2.0454e-05 | 5.156e-05 | 1.78039e-05 |
| 0.35 | -8.44719e-05 | 1.42973e-05 | 1.92302e-05 | 1.24121e-05 |
| 0.45 | -0.000122139 | 1.36589e-05 | -1.68469e-05 | 1.18385e-05 |
| 0.55 | -0.000129366 | 1.46395e-05 | -5.0957e-06 | 1.26673e-05 |
| 0.65 | -0.000179707 | 1.61996e-05 | -8.05348e-06 | 1.40001e-05 |
| 0.75 | -0.000238254 | 1.7952e-05 | 7.53611e-06 | 1.54954e-05 |
| 0.85 | -0.000231923 | 2.0153e-05 | -7.95715e-06 | 1.73638e-05 |
| 0.95 | -0.000303857 | 2.33131e-05 | -4.30243e-05 | 2.00503e-05 |
| 1.05 | -0.00031866 | 2.79466e-05 | -6.67366e-05 | 2.39755e-05 |
| 1.15 | -0.00038018 | 3.43602e-05 | -0.000100704 | 2.94024e-05 |
| 1.25 | -0.000533262 | 4.27401e-05 | -7.56699e-05 | 3.65306e-05 |
| 1.35 | -0.000441765 | 5.32342e-05 | -0.000109938 | 4.54565e-05 |
| 1.45 | -0.000682588 | 6.60442e-05 | -0.000144124 | 5.6375e-05 |
| 1.55 | -0.000557763 | 8.14805e-05 | -0.000259064 | 6.95221e-05 |
| 1.65 | -0.000742154 | 0.000101524 | -0.00010575 | 8.65791e-05 |
| 1.75 | -0.000681588 | 0.000127306 | -0.000104356 | 0.000108487 |
| 1.85 | -0.000897995 | 0.000160127 | -0.000137981 | 0.000136411 |
| 1.95 | -0.00096773 | 0.000203044 | -5.55571e-05 | 0.000172819 |
| 2.05 | -0.000611806 | 0.000260404 | 8.24887e-05 | 0.000221367 |
| 2.15 | -0.00145831 | 0.00033865 | 0.000465847 | 0.000287613 |
| 2.25 | -0.00136431 | 0.000447146 | 0.000802626 | 0.000379469 |
Figure 11a: macro, png, eps
| cos(a+b-2*psi_RP) Au+Au@200GeV, centrality 30-50% | ||||
|---|---|---|---|---|
| delta pt | a+,b+ | stat err | a+,b- | stat err |
| 0.15 | -0.000570132 | 4.44496e-05 | 2.74526e-05 | 4.44756e-05 |
| 0.25 | -0.000790017 | 4.6295e-05 | -1.86276e-05 | 4.63183e-05 |
| 0.35 | -0.000733443 | 4.8252e-05 | -3.69426e-05 | 4.82585e-05 |
| 0.45 | -0.000845225 | 5.03933e-05 | -0.000176756 | 5.04128e-05 |
| 0.55 | -0.000892947 | 5.28601e-05 | -3.01604e-05 | 5.28608e-05 |
| 0.65 | -0.000791999 | 5.57771e-05 | -1.85454e-05 | 5.57635e-05 |
| 0.75 | -0.000765128 | 5.92857e-05 | -2.98023e-05 | 5.92656e-05 |
| 0.85 | -0.000718002 | 6.34974e-05 | -3.03018e-05 | 6.34702e-05 |
| 0.95 | -0.000670958 | 6.85775e-05 | -5.28269e-05 | 6.85097e-05 |
| 1.05 | -0.000780415 | 7.46191e-05 | -4.23097e-05 | 7.45444e-05 |
| 1.15 | -0.000616988 | 8.17619e-05 | -6.84859e-05 | 8.16977e-05 |
| 1.25 | -0.000745754 | 9.01446e-05 | 3.4332e-05 | 9.00258e-05 |
| 1.35 | -0.000695117 | 9.98154e-05 | 9.91924e-05 | 9.97415e-05 |
| 1.45 | -0.000725004 | 0.000111012 | 1.29946e-05 | 0.000110838 |
| 1.55 | -0.000800796 | 0.000123795 | -0.000108198 | 0.000123587 |
| 1.65 | -0.000862672 | 0.000138104 | -0.000243131 | 0.00013794 |
| 1.75 | -0.000597527 | 0.000154241 | 0.000225452 | 0.000154038 |
| 1.85 | -0.000542748 | 0.000172125 | 7.15818e-05 | 0.000171969 |
| 1.95 | -0.000841824 | 0.000192031 | 8.24761e-05 | 0.000191584 |
| 2.05 | -0.000529912 | 0.000213962 | -5.01992e-06 | 0.000213762 |
| 2.15 | -0.00029975 | 0.000238872 | -0.000244324 | 0.000238142 |
| 2.25 | -0.000492216 | 0.000266899 | -6.1186e-05 | 0.000266489 |
| 2.35 | -0.00036984 | 0.000301408 | 0.000259713 | 0.000301192 |
Figure 11b: macro, png, eps
| cos(a+b-2*psi_RP) Au+Au@200GeV, centrality 10-30% | ||||
|---|---|---|---|---|
| delta pt | a+,b+ | stat err | a+,b- | stat err |
| 0.25 | -0.000381126 | 3.33924e-05 | -4.03236e-05 | 3.3405e-05 |
| 0.35 | -0.000432386 | 3.42273e-05 | -5.67811e-05 | 3.42288e-05 |
| 0.45 | -0.000400064 | 3.50049e-05 | -3.30032e-05 | 3.50135e-05 |
| 0.55 | -0.000432995 | 3.57841e-05 | -0.000124951 | 3.57925e-05 |
| 0.65 | -0.000469921 | 3.66111e-05 | -7.5456e-05 | 3.66201e-05 |
| 0.75 | -0.00045287 | 3.75741e-05 | -0.000102602 | 3.7578e-05 |
| 0.85 | -0.000428907 | 3.87401e-05 | -5.18942e-05 | 3.8747e-05 |
| 0.95 | -0.00037996 | 4.02101e-05 | 9.77211e-06 | 4.02184e-05 |
| 1.05 | -0.000363232 | 4.2082e-05 | -6.96972e-05 | 4.20963e-05 |
| 1.15 | -0.000357043 | 4.44158e-05 | -5.124e-05 | 4.44274e-05 |
| 1.25 | -0.000339598 | 4.73103e-05 | -8.84847e-05 | 4.73008e-05 |
| 1.35 | -0.000416408 | 5.07762e-05 | -6.66695e-05 | 5.07721e-05 |
| 1.45 | -0.000341867 | 5.48549e-05 | 0.000109747 | 5.48451e-05 |
| 1.55 | -0.000284264 | 5.95697e-05 | -3.10067e-05 | 5.95747e-05 |
| 1.65 | -0.000348883 | 6.48938e-05 | 7.08809e-05 | 6.49218e-05 |
| 1.75 | -0.000355468 | 7.09345e-05 | 1.4693e-05 | 7.08864e-05 |
| 1.85 | -0.00020167 | 7.75942e-05 | -2.13547e-05 | 7.7614e-05 |
| 1.95 | -0.000253686 | 8.50803e-05 | 5.45537e-05 | 8.50582e-05 |
| 2.05 | -0.000465969 | 9.35876e-05 | -0.000104112 | 9.35282e-05 |
| 2.15 | -0.000405194 | 0.000103704 | -9.74389e-05 | 0.000103674 |
| 2.25 | -0.000332261 | 0.000116086 | 3.03482e-05 | 0.000115966 |
| 2.35 | -0.000343455 | 0.000131657 | -4.17877e-05 | 0.000131409 |
Figure 12: macro, png, eps
| cos(a+b-2c)*Npart @200GeV | ||||
|---|---|---|---|---|
| Npart | a+,b+,Au+Au | stat err | a+,b-,Au+Au | stat err |
| 352 | -0.000210046 | 1.94012e-05 | -9.0006e-05 | 1.9661e-05 |
| 298 | -0.000491166 | 2.41625e-05 | -8.40338e-05 | 2.44763e-05 |
| 234 | -0.000957427 | 2.22866e-05 | -8.99726e-05 | 2.2586e-05 |
| 166 | -0.00142767 | 2.56207e-05 | -5.95834e-05 | 2.59014e-05 |
| 115 | -0.00171463 | 3.11993e-05 | -2.67692e-05 | 3.14721e-05 |
| 76 | -0.00173189 | 3.71026e-05 | 9.56778e-05 | 3.71116e-05 |
| 46 | -0.00147682 | 4.48131e-05 | 0.000193474 | 4.44606e-05 |
| 26 | -0.000921945 | 6.06213e-05 | 0.000356127 | 5.90036e-05 |
| Npart | a+,b+,Cu+Cu | stat err | a+,b-,Cu+Cu | stat err |
| 111 | -0.000279951 | 2.59192e-05 | 6.55011e-05 | 2.61278e-05 |
| 91 | -0.000377206 | 2.74126e-05 | 8.63549e-05 | 2.75705e-05 |
| 75 | -0.00052256 | 2.39271e-05 | 0.000130811 | 2.39682e-05 |
| 55 | -0.000689268 | 2.78088e-05 | 0.000234959 | 2.77426e-05 |
| 39 | -0.000706138 | 3.31708e-05 | 0.000261485 | 3.27993e-05 |
| 27 | -0.000667229 | 3.89113e-05 | 0.000341826 | 3.81441e-05 |
| 18 | -0.000586202 | 4.68995e-05 | 0.000451671 | 4.51383e-05 |
Figure 13: macro, png, eps
| cos(a+b-2*psi_RP) Au+Au@200GeV | ||||
|---|---|---|---|---|
| centrality | a+,b+ | stat err | a+,b- | stat err |
| 5-10% | -4.84767e-05 | 2.38477e-06 | -8.2939e-06 | 2.41575e-06 |
| 10-20% | -8.43622e-05 | 1.96375e-06 | -7.9278e-06 | 1.99013e-06 |
| 20-30% | -0.000139391 | 2.50148e-06 | -5.81744e-06 | 2.52889e-06 |
| 30-40% | -0.000212998 | 3.87569e-06 | -3.32537e-06 | 3.90957e-06 |
| 40-50% | -0.000310464 | 6.65112e-06 | 1.71515e-05 | 6.65273e-06 |
| 50-60% | -0.000449019 | 1.36251e-05 | 5.88244e-05 | 1.3518e-05 |
| 60-70% | -0.000531625 | 4.49563e-05 | 0.000205355 | 4.40235e-05 |
Monte-Carlo number for Fig. 13
| HIJING | ||||
|---|---|---|---|---|
| centrality | a+,b+ | stat err | a+,b- | stat err |
| 30-40% | -9.93524e-06 | 4.2788e-06 | -6.64e-06 | 4.74e-06 |
| 60-70% | 2.135e-05 | 2.89914e-05 | -6.8e-05 | 2.6e-05 |
| HIJING+v2 | ||||
|---|---|---|---|---|
| centrality | a+,b+ | stat err | a+,b- | stat err |
| 30-40% | -7.10673e-07 | 3.92277e-06 | 7.76878e-06 | 2.75007e-06 |
| 40-50% | -1.39227e-06 | 5.87389e-06 | 1.30744e-05 | 4.1165e-06 |
| 50-60% | -9.2582e-06 | 9.33568e-06 | 1.47317e-05 | 6.51374e-06 |
| 60-70% | -4.21107e-05 | 1.64567e-05 | 2.50399e-05 | 1.13663e-05 |
| UrQMD | ||||
|---|---|---|---|---|
| centrality | a+,b+ | stat err | a+,b- | stat err |
| 12% | -6.33629e-06 | 6.85204e-06 | -1.849e-05 | 7.41e-06 |
| 40% | -6.25453e-05 | 9.0154e-06 | -6.4e-05 | 9e-06 |
| 69% | -0.000113128 | 3.42632e-05 | -0.000215 | 3.79e-05 |
| MEVSIM | ||||
|---|---|---|---|---|
| centrality | a+,b+ | stat err | a+,b- | stat err |
| 40-50% | 1.17707e-05 | 1.05347e-05 | 9.5e-05 | 1.2e-05 |
| HIJING 3-particle background: cos(a+b-2c)/v2[data] | ||||
|---|---|---|---|---|
| centrality | a+,b+ | a+,b- | ||
| 5-10% | 1.59273e-06 | 4.24727e-06 | ||
| 10-20% | 1.74886e-06 | 4.66362e-06 | ||
| 20-30% | 2.61747e-06 | 6.97991e-06 | ||
| 30-40% | 4.84958e-06 | 1.29322e-05 | ||
| 40-50% | 1.05797e-05 | 2.82126e-05 | ||
| 50-60% | 2.82856e-05 | 7.54282e-05 | ||
| 60-70% | 9.30982e-05 | 0.000248262 | ||