Data Pointers

⟨ΔN⟩	7.7 Gev	err.	11.5 Gev	err.	14.5 Gev	err.	19.6 Gev	err.	27 Gev	err.	39 Gev	err.	54.4 Gev	err.	62.4 Gev	err.	200 Gev	err.
-23	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
-22	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
-21	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
-20	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
-19	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
-18	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	7.72543e-08	7.72543e-08
-17	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2.31763e-07	1.33808e-07
-16	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1.46783e-06	3.36744e-07
-15	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3.32505e-07	3.32505e-07	4.40349e-06	5.83257e-07
-14	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3.32505e-07	3.32505e-07	1.2747e-05	9.92349e-07
-13	0	0	0	0	0	0	0	0	0	0	0	0	9.12182e-08	5.26648e-08	0	0	3.78546e-05	1.7101e-06
-12	0	0	0	0	0	0	0	0	0	0	0	0	3.95279e-07	1.09631e-07	1.99503e-06	8.14466e-07	9.78039e-05	2.74878e-06
-11	0	0	0	0	0	0	0	0	0	0	0	0	1.06421e-06	1.79885e-07	2.66004e-06	9.40465e-07	0.00023663	4.27559e-06
-10	0	0	0	0	0	0	0	0	0	0	1.69005e-07	1.69005e-07	3.25345e-06	3.14523e-07	7.98011e-06	1.62893e-06	0.000559089	6.57206e-06
-9	0	0	0	0	0	0	0	0	0	0	3.3801e-07	2.39009e-07	1.05813e-05	5.67218e-07	3.05904e-05	3.18927e-06	0.00119087	9.59167e-06
-8	0	0	0	0	0	0	0	0	0	0	1.85906e-06	5.60527e-07	3.17135e-05	9.81979e-07	8.21286e-05	5.22572e-06	0.00250976	1.39244e-05
-7	0	0	0	0	0	0	0	0	0	0	1.01403e-05	1.30911e-06	8.5137e-05	1.60894e-06	0.00020981	8.35242e-06	0.00490889	1.94739e-05
-6	0	0	0	0	0	0	0	0	0	0	3.1942e-05	2.32344e-06	0.000224762	2.61421e-06	0.000529015	1.32627e-05	0.00893214	2.62687e-05
-5	0	0	0	0	0	0	0	0	3.45412e-06	1.54473e-06	0.000103769	4.18778e-06	0.000543964	4.06692e-06	0.00123326	2.025e-05	0.015427	3.45225e-05
-4	0	0	0	0	0	0	0	0	1.31257e-05	3.01123e-06	0.000290351	7.00505e-06	0.00122251	6.09685e-06	0.0026996	2.99605e-05	0.0248143	4.37837e-05
-3	0	0	0	0	0	0	1.17376e-06	1.17376e-06	4.42127e-05	5.52659e-06	0.000786043	1.15259e-05	0.00257372	8.84628e-06	0.00570046	4.35365e-05	0.0372688	5.36579e-05
-2	0	0	0	0	0	0	4.69504e-06	2.34752e-06	0.000104314	8.48899e-06	0.00189303	1.78866e-05	0.00510977	1.24647e-05	0.010554	5.9239e-05	0.0525223	6.36991e-05
-1	0	0	0	0	0	0	1.29114e-05	3.89292e-06	0.000303272	1.44744e-05	0.00413302	2.64292e-05	0.00936881	1.6878e-05	0.0186871	7.8826e-05	0.0689478	7.2983e-05
0	0	0	0	0	4.8042e-06	2.4021e-06	4.69504e-05	7.42351e-06	0.000778558	2.31915e-05	0.00835697	3.75815e-05	0.0160234	2.20728e-05	0.0303171	0.000100402	0.0843366	8.07178e-05
1	0	0	0	0	1.20105e-05	3.79805e-06	0.000152589	1.33829e-05	0.00196125	3.68087e-05	0.0154565	5.111e-05	0.0255561	2.78758e-05	0.045342	0.000122786	0.0965264	8.63544e-05
2	0	0	0	0	4.9243e-05	7.69047e-06	0.000345085	2.01258e-05	0.00424857	5.41757e-05	0.0261578	6.64891e-05	0.0379916	3.39878e-05	0.0625281	0.00014419	0.102798	8.91158e-05
3	0	0	7.23174e-06	4.17525e-06	0.000135719	1.27673e-05	0.000958962	3.35498e-05	0.00833203	7.58681e-05	0.0405173	8.27504e-05	0.0526024	3.99929e-05	0.0800003	0.000163096	0.102596	8.9028e-05
4	0	0	3.85693e-05	9.64232e-06	0.00036632	2.09754e-05	0.00226184	5.15253e-05	0.0151056	0.000102153	0.0576962	9.87469e-05	0.0679233	4.54454e-05	0.0946039	0.000177359	0.0952117	8.57643e-05
5	0	0	8.67809e-05	1.44635e-05	0.000978856	3.42878e-05	0.00461053	7.35639e-05	0.0250652	0.000131589	0.0755764	0.000113017	0.0821383	4.9975e-05	0.104381	0.000186299	0.0828612	8.00086e-05
6	7.06155e-06	7.06155e-06	0.000296501	2.67346e-05	0.00243933	5.41272e-05	0.00863653	0.000100684	0.0382689	0.000162595	0.091517	0.000124366	0.0927984	5.31191e-05	0.105898	0.000187648	0.0675555	7.22423e-05
7	7.06155e-06	7.06155e-06	0.000781028	4.33904e-05	0.00494712	7.70827e-05	0.0155007	0.000134885	0.0539174	0.000192996	0.10266	0.000131719	0.0984898	5.47237e-05	0.10048	0.000182784	0.0516068	6.31415e-05
8	7.06155e-06	7.06155e-06	0.00173321	6.46377e-05	0.00939942	0.00010625	0.0250457	0.000171457	0.069977	0.000219868	0.106425	0.000134113	0.097871	5.45515e-05	0.0892755	0.000172292	0.0370589	5.35066e-05
9	7.7677e-05	2.34205e-05	0.00340133	9.05493e-05	0.0161349	0.000139208	0.0373361	0.000209341	0.0850881	0.000242448	0.102794	0.000131805	0.0917653	5.28226e-05	0.0739148	0.00015677	0.0250531	4.39938e-05
10	0.000169477	3.45944e-05	0.00683881	0.000128396	0.0253866	0.000174615	0.0513332	0.000245465	0.0958076	0.000257267	0.0928251	0.000125251	0.0810023	4.96282e-05	0.0576513	0.000138453	0.0159806	3.51364e-05
11	0.000388385	5.23698e-05	0.0117275	0.000168137	0.0375544	0.000212379	0.0665111	0.000279407	0.100549	0.000263556	0.0784791	0.000115167	0.0674723	4.52942e-05	0.042122	0.000118346	0.00961298	2.72515e-05
12	0.000727339	7.16669e-05	0.0186217	0.000211871	0.0510254	0.000247556	0.0788192	0.000304162	0.0990614	0.000261599	0.0619735	0.000102342	0.0531939	4.02171e-05	0.0290403	9.82651e-05	0.00549849	2.06102e-05
13	0.00151117	0.000103302	0.0279507	0.000259571	0.0657226	0.000280956	0.0894558	0.000324036	0.0918222	0.000251859	0.0462792	8.84388e-05	0.0396895	3.47391e-05	0.0187682	7.89969e-05	0.00296162	1.51261e-05
14	0.00273988	0.000139096	0.0391213	0.000307091	0.0781679	0.000306404	0.0953551	0.00033455	0.0803518	0.000235603	0.0326327	7.42637e-05	0.0281696	2.92665e-05	0.0115718	6.20297e-05	0.00152994	1.08717e-05
15	0.00488659	0.00018576	0.0510705	0.00035087	0.0871181	0.000323471	0.0953445	0.000334532	0.0658258	0.000213246	0.021755	6.06359e-05	0.0189961	2.40332e-05	0.00678043	4.74818e-05	0.000739014	7.55592e-06
16	0.00754173	0.000230773	0.0639503	0.000392629	0.0929624	0.000334144	0.0897257	0.000324525	0.0517462	0.00018907	0.0137421	4.81923e-05	0.012195	1.92562e-05	0.00372671	3.52015e-05	0.000346949	5.17719e-06
17	0.0115386	0.000285447	0.0744218	0.000423556	0.0928483	0.000333939	0.0802148	0.000306843	0.0385936	0.000163283	0.00821416	3.7259e-05	0.00749856	1.50997e-05	0.00199469	2.57535e-05	0.000152577	3.43325e-06
18	0.0175197	0.000351733	0.0820658	0.000444776	0.0878616	0.000324848	0.0681426	0.000282813	0.0270803	0.000136776	0.00463885	2.79998e-05	0.00438057	1.15411e-05	0.000988203	1.81268e-05	6.19579e-05	2.18781e-06
19	0.0249343	0.000419613	0.0869376	0.000457788	0.0792681	0.000308553	0.0554425	0.0002551	0.0181873	0.00011209	0.00252781	2.06691e-05	0.00245033	8.63163e-06	0.000480469	1.26395e-05	2.47214e-05	1.38197e-06
20	0.0325537	0.000479458	0.0867929	0.000457407	0.0677428	0.000285241	0.0423892	0.000223058	0.0116929	8.98762e-05	0.00131148	1.48878e-05	0.00131369	6.32015e-06	0.000232088	8.78467e-06	9.03875e-06	8.35633e-07
21	0.0424117	0.000547259	0.0829842	0.000447258	0.0556867	0.000258616	0.0314028	0.000191988	0.00712861	7.01756e-05	0.000661993	1.05773e-05	0.00067468	4.52928e-06	9.44313e-05	5.60347e-06	3.5537e-06	5.23964e-07
22	0.0515422	0.000603298	0.0763021	0.000428873	0.043669	0.000229017	0.0220432	0.000160852	0.0041332	5.34351e-05	0.000308603	7.22188e-06	0.00033696	3.20088e-06	4.22281e-05	3.74714e-06	1.23607e-06	3.09017e-07
23	0.0601997	0.000651999	0.0668598	0.000401461	0.0326433	0.000198006	0.0149021	0.000132255	0.00234327	4.02342e-05	0.000139767	4.86018e-06	0.000161243	2.21422e-06	1.52952e-05	2.25516e-06	1.54509e-07	1.09254e-07
24	0.0665198	0.00068537	0.055952	0.000367256	0.0235105	0.00016804	0.00985019	0.000107526	0.00125108	2.93986e-05	5.71237e-05	3.10712e-06	7.413e-05	1.50133e-06	6.98259e-06	1.52373e-06	2.31763e-07	1.33808e-07
25	0.0729105	0.000717538	0.0452586	0.000330302	0.0161877	0.000139436	0.00607655	8.44536e-05	0.0006625	2.13932e-05	2.75478e-05	2.15771e-06	3.2869e-05	9.99708e-07	2.32753e-06	8.79724e-07	7.72543e-08	7.72543e-08
26	0.0742734	0.000724213	0.0346448	0.000288988	0.010795	0.000113866	0.00359992	6.50034e-05	0.000297745	1.43419e-05	1.09853e-05	1.36256e-06	1.36523e-05	6.44293e-07	9.97514e-07	5.75915e-07	7.72543e-08	7.72543e-08
27	0.0756716	0.000730998	0.0262392	0.000251499	0.00712583	9.2512e-05	0.00211512	4.98261e-05	0.000143691	9.9632e-06	5.74617e-06	9.85461e-07	5.38187e-06	4.04526e-07	3.32505e-07	3.32505e-07	0	0
28	0.0735531	0.000720693	0.0189881	0.000213945	0.0043526	7.23028e-05	0.00114442	3.66506e-05	5.80292e-05	6.33151e-06	1.85906e-06	5.60527e-07	2.79736e-06	2.91645e-07	3.32505e-07	3.32505e-07	0	0
29	0.068949	0.000697772	0.0132485	0.000178708	0.00256905	5.55477e-05	0.000604486	2.66369e-05	2.69421e-05	4.31419e-06	5.07015e-07	2.92725e-07	8.81776e-07	1.63742e-07	0	0	0	0
30	0.0614213	0.000658582	0.00925421	0.000149359	0.00153734	4.29701e-05	0.000319263	1.93581e-05	1.51981e-05	3.24025e-06	0	0	1.5203e-07	6.799e-08	0	0	0	0
31	0.0538372	0.000616583	0.00547925	0.000114927	0.000862354	3.21828e-05	0.000159631	1.36883e-05	5.52659e-06	1.95394e-06	0	0	9.12182e-08	5.26648e-08	0	0	0	0
32	0.0458718	0.000569145	0.00370506	9.45058e-05	0.000441986	2.30401e-05	7.51206e-05	9.39008e-06	2.7633e-06	1.38165e-06	0	0	0	0	0	0	0	0
33	0.0373768	0.000513749	0.00219363	7.2718e-05	0.000237808	1.69003e-05	3.05178e-05	5.98502e-06	1.38165e-06	9.76972e-07	0	0	0	0	0	0	0	0
34	0.0298209	0.000458892	0.00134269	5.68917e-05	0.000134518	1.27107e-05	1.40851e-05	4.06602e-06	6.90824e-07	6.90824e-07	0	0	0	0	0	0	0	0
35	0.022717	0.000400521	0.000778617	4.33234e-05	5.52483e-05	8.14592e-06	1.17376e-05	3.71175e-06	0	0	0	0	0	0	0	0	0	0
36	0.0177245	0.000353783	0.000419441	3.17977e-05	3.24283e-05	6.24084e-06	2.34752e-06	1.65995e-06	0	0	0	0	0	0	0	0	0	0
37	0.0127037	0.000299513	0.000260343	2.50515e-05	2.04178e-05	4.95205e-06	0	0	0	0	0	0	0	0	0	0	0	0
38	0.00954721	0.00025965	9.88338e-05	1.54352e-05	6.00525e-06	2.68563e-06	0	0	0	0	0	0	0	0	0	0	0	0
39	0.00633421	0.000211493	8.19597e-05	1.4056e-05	3.60315e-06	2.08028e-06	1.17376e-06	1.17376e-06	0	0	0	0	0	0	0	0	0	0
40	0.00416631	0.000171524	3.61587e-05	9.33613e-06	2.4021e-06	1.69854e-06	0	0	0	0	0	0	0	0	0	0	0	0
41	0.00287405	0.000142461	1.92846e-05	6.81815e-06	0	0	0	0	0	0	0	0	0	0	0	0	0	0
42	0.00199136	0.000118584	2.41058e-06	2.41058e-06	0	0	0	0	0	0	0	0	0	0	0	0	0	0
43	0.00115809	9.04319e-05	2.41058e-06	2.41058e-06	0	0	0	0	0	0	0	0	0	0	0	0	0	0
44	0.000713216	7.09677e-05	4.82116e-06	3.40907e-06	0	0	0	0	0	0	0	0	0	0	0	0	0	0
45	0.000459001	5.6932e-05	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
46	0.000268339	4.35303e-05	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
47	0.000134169	3.07806e-05	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
48	0.000134169	3.07806e-05	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
49	8.47386e-05	2.44619e-05	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
50	1.41231e-05	9.98654e-06	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
51	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
52	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
53	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
54	7.06155e-06	7.06155e-06	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
55	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

E	7.7	11.5	14.5	19.6	27.0	39.0	54.4	62.4	200.0
0-5% C₁	39.421539	30.253971	25.657473	21.769468	17.470406	13.467374	11.107300	10.102587	4.566216
stat.	0.019992	0.010611	0.007130	0.006680	0.004497	0.002624	0.001083	0.004055	0.002280
sys.	2.415359	2.821748	1.718524	1.461477	1.203613	0.941084	0.804850	1.034544	0.389982
70-80% C₁	0.805654	0.602162	0.546781	0.424892	0.334141	0.280479	0.146388	0.209432	0.109607
stat.	0.002404	0.001188	0.000889	0.000721	0.000475	0.000368	0.000102	0.000561	0.000262
sys.	0.045596	0.046562	0.035535	0.027784	0.022004	0.018403	0.009045	0.017640	0.008346
0-5% C₂	36.962982	29.225075	26.205402	24.157978	22.687414	22.543184	23.737600	23.759876	30.192270
stat.	0.214242	0.103085	0.066157	0.058211	0.038547	0.023513	0.009564	0.038164	0.026632
sys.	2.034195	2.338558	1.599479	1.466974	1.443992	1.480664	1.573370	2.147386	2.423239
70-80% C₂	0.798355	0.650921	0.652461	0.592425	0.579217	0.644062	0.456601	0.687207	0.873014
stat.	0.004203	0.001919	0.001465	0.001108	0.000732	0.000590	0.000150	0.000936	0.000486
sys.	0.043874	0.048364	0.040694	0.036711	0.036107	0.040153	0.023670	0.045814	0.053022
0-5% C₃	29.518143	22.899647	20.498066	15.510752	12.547338	9.961836	8.233450	7.732394	3.692589
stat.	2.839415	1.242016	0.765315	0.627572	0.407553	0.260202	0.104189	0.444216	0.382348
sys.	1.654657	1.362639	1.153057	0.678157	0.623777	0.506266	0.418713	0.575012	0.390343
70-80% C₃	0.738646	0.530597	0.486548	0.361234	0.283725	0.237672	0.129480	0.177704	0.089961
stat.	0.011872	0.005017	0.004572	0.002507	0.001618	0.001292	0.000296	0.002089	0.001186
sys.	0.040045	0.037159	0.029484	0.020636	0.016467	0.013620	0.007371	0.013380	0.005996
0-5% C₄	65.312561	20.334698	38.489456	3.395470	4.452486	16.675041	15.022000	18.840511	27.193245
stat.	43.465191	17.619955	10.460115	8.052210	5.031746	3.355528	1.322940	6.029626	6.346742
sys.	16.201504	7.371407	8.062140	3.662928	3.098153	3.343535	2.948390	3.992425	4.891671
70-80% C₄	0.729780	0.543762	0.604010	0.462078	0.467218	0.510573	0.383908	0.542914	0.685107
stat.	0.040153	0.017242	0.035897	0.007269	0.004724	0.003637	0.000816	0.006075	0.003679
sys.	0.044063	0.038419	0.047711	0.023661	0.025198	0.026273	0.016591	0.027207	0.033240

energy/GeV	7.7	11.5	14.5	19.6	27	39	54.4	62.4
data	0.798587	0.783562	0.782208	0.642055	0.553053	0.441903	0.346852	0.325439
error	0.0826612	0.0545932	0.0308076	0.0307958	0.0230408	0.0189575	0.00773199	0.0242103
Baseline	0.985324	0.940183	0.892413	0.809097	0.69017	0.542714	0.422905	0.386921
fitting derivative	0.00706016	-0.00937774	-0.016078	-0.0189006	-0.0134584	-0.0051872	-0.00719072	0.00591467
fitting derivative stat. error	0.0213765	0.00881565	0.00395462	0.00311358	0.00169758	0.00221044	0.00263842	0.00699181
fitting derivative sys. error	0.0111179	0.0044155	0.00239651	0.00204228	0.00125426	0.00167883	0.00239546	0.0061745

energy/GeV	7.7	11.5	14.5	19.6	27	39	54.4	62.4
data	1.76697	0.695796	1.46876	0.140553	0.196254	0.739693	0.632837	0.792955
error	1.223	0.652118	0.470465	0.363896	0.261987	0.2001	0.149347	0.278876
Baseline	1	1	1	1	1	1	1	1
fitting derivative	-0.340987	-0.212014	-0.132958	-0.0386132	0.0262482	0.020344	-0.00784448	0.0499322
fitting derivative stat. error	0.141934	0.0868319	0.0546692	0.022559	0.0192684	0.0107491	0.0179408	0.0577548
fitting derivative sys. error	0.0787889	0.0446781	0.0261655	0.0130155	0.0140624	0.0101779	0.0113633	0.0465067

Energies (GeV)	7.7	11.5	14.5	19.6	27	39	54.4	62.4	200
C₂/C₁	0.937634	0.965991	1.02136	1.10972	1.29862	1.67391	2.13712	2.35186	6.6121
stat. error	0.00541433	0.00338953	0.00256581	0.00266482	0.00220565	0.00175524	0.000877283	0.00385228	0.00666528
sys. error	0.00848957	0.0148582	0.00729976	0.00868959	0.0110364	0.0145561	0.0177191	0.0427244	0.0899917
C₃/C₂	0.798587	0.783562	0.782208	0.642055	0.553053	0.4419	0.346852	0.325439	0.122302
stat. error	0.0752691	0.0417112	0.0286995	0.0255525	0.0177318	0.0114112	0.00436123	0.0185227	0.0125973
sys. error	0.0341678	0.035222	0.0112016	0.0171887	0.0147127	0.0151383	0.00638463	0.0155955	0.0108993
C₄/C₂	1.76697	0.695796	1.46876	0.140553	0.196254	0.739693	0.632837	0.792955	0.900669
stat. error	1.15082	0.595077	0.395981	0.328768	0.219415	0.147006	0.0553742	0.250823	0.208458
sys. error	0.413944	0.266722	0.254053	0.155986	0.143158	0.135754	0.138702	0.121927	0.139363

C₂/C₁
E/GeV	7.7	11.5	15	19.6	27	39	62.4	130	200
HRG GCE	1.00663	1.04792	1.11291	1.22559	1.44564	1.85289	2.7155	5.32978	8.07778
E/GeV	8.8	17.27	27	62.4
HRG CE	0.894011	1.09574	1.354	2.42533
E/GeV	7.7	11.5	19.6	27	39	62.4	200
HRG EV	0.965162	1.00976	1.16643	1.36019	1.72366	2.50262	7.38962
C₃/C₂
E/GeV	7.7	11.5	15	19.6	27	39	62.4	130	200
HRG GCE	0.98762	0.950906	0.896125	0.81416	0.690487	0.538851	0.367729	0.18737	0.12363
E/GeV	8.8	17.27	27	62.4
HRG CE	0.788024	0.726538	0.606186	0.343265
E/GeV	7.7	11.5	19.6	27	39	62.4	200
HRG EV	0.900327	0.898051	0.802008	0.693686	0.549503	0.377403	0.121625
C₄/C₂
E/GeV	4.1	7.7	11.5	15	19.6	27	39	62.4	130	200	257
HRG GCE	0.988519	0.988519	0.993303	0.99516	0.996415	0.997388	0.998046	0.998469	0.998704	0.998748	0.998748
E/GeV	8.8	17.27	27	62.4
HRG CE	0.431471	0.657261	0.73934	0.811763
E/GeV	7.7	11.5	19.6	27	39	62.4	200
HRG EV	0.738225	0.815104	0.884976	0.912445	0.935155	0.954229	0.97581

Data Points

Figure 1 Net Proton Event by Event Distribution

Figure 2 Net Proton Cumulants

Figure 3 Polynomial fit to data

S𝜎

κ𝜎²

Figure 4 Net Proton Cumulants Ratios

STAR Data

HRG

UrQMD

Supplemental material ： Fig. 2

Supplemental material ： Fig. 3

7.7 GeV

11.5 GeV

14.5 GeV

19.6 GeV

27 GeV

39 GeV

54.4 GeV

62.4 GeV

200 GeV

Energies (GeV)	7.7	11.5	19.6	27	39	62.4	200
C₂/C₁	0.931416	0.972432	1.08187	1.19631	1.386	1.74569	3.64048
stat. error	0.000919531	0.000600322	0.00068897	0.000869989	0.000777718	0.00188643	0.0034499
C₃/C₂	0.838283	0.846488	0.803716	0.758084	0.660954	0.527564	0.270407
stat. error	0.0105046	0.0059045	0.00554179	0.00610147	0.00455291	0.00853663	0.00765248
C₄/C₂	0.449288	0.618149	0.666606	0.903167	0.860031	0.829186	0.914062
stat. error	0.135295	0.0699573	0.0606343	0.0637226	0.0457224	0.0816549	0.0728309

0-5%, 200GeV, CBWC Δ2.5%
Cumulant(stat.err)	eff.corr	unfolded, binomial	unfolded, beta α+σ	unfolded, beta	unfolded, beta α-σ
C1	4.566216(0.002280)	4.73424(0.00220591)	4.73069(0.00226485)	4.73049(0.00215198)	4.72013(0.00215501)
C2	30.3874(0.0237513)	30.2599(0.024126)	29.7504(0.0241654)	29.2376(0.0269021)	28.2699(0.0232921)
C3	3.88415(0.365785)	4.01663(0.368058)	3.88294(0.333517)	3.7134(0.355716)	3.66194(0.318296)
C4	33.7236(6.30164)	32.5102(5.3469)	30.9981(5.95128)	28.5807(6.08245)	24.9597(5.49008)
C2/C1	6.66254(0.00608719)	6.39255(0.00595087)	6.28981(0.00584483)	6.18175(0.00641245)	5.99102(0.00558172)
C3/C2	0.127525(0.0121569)	0.132399(0.0122269)	0.130211(0.0112684)	0.126696(0.0122269)	0.129092(0.0113477)
C4/C2	1.10279(0.209222)	1.07028(0.177701)	1.03888(0.202065)	0.97491(0.208826)	0.87512(0.19551)

\|y\|<y_max	y_max=0.1	y_max=0.2	y_max=0.3	y_max=0.4	y_max=0.5
C₄/C₂	0.767135	-0.00606106	0.397191	0.711907	1.76697
C₄/C₂ stat.	0.296241	0.497955	0.776797	0.960038	1.15082
C₄/C₂ sys.	0.129413	0.265703	0.369891	0.698507	0.413944

\|y\|<y_max	y_max=0.1	y_max=0.2	y_max=0.3	y_max=0.4	y_max=0.5
C₄/C₂	0.959118	1.09085	0.592723	0.154379	0.695796
C₄/C₂ stat.	0.171762	0.319848	0.403805	0.492967	0.595077
C₄/C₂ sys.	0.0894885	0.121701	0.374633	0.38089	0.266722

\|y\|<y_max	y_max=0.1	y_max=0.2	y_max=0.3	y_max=0.4	y_max=0.5
C₄/C₂	0.898019	0.638425	0.746252	0.445581	1.46876
C₄/C₂ stat.	0.104099	0.176287	0.249138	0.315006	0.395981
C₄/C₂ sys.	0.0416392	0.153779	0.126206	0.17057	0.254053

\|y\|<y_max	y_max=0.1	y_max=0.2	y_max=0.3	y_max=0.4	y_max=0.5
C₄/C₂	0.776298	0.651056	0.454658	0.523095	0.140553
C₄/C₂ stat.	0.088854	0.148566	0.210737	0.289011	0.328768
C₄/C₂ sys.	0.0496038	0.103256	0.106571	0.155832	0.155986

\|y\|<y_max	y_max=0.1	y_max=0.2	y_max=0.3	y_max=0.4	y_max=0.5
C₄/C₂	0.895474	0.838628	0.768172	0.655419	0.196254
C₄/C₂ stat.	0.0583704	0.102318	0.145133	0.182676	0.219415
C₄/C₂ sys.	0.0239829	0.0483868	0.0660855	0.0938606	0.143158

\|y\|<y_max	y_max=0.1	y_max=0.2	y_max=0.3	y_max=0.4	y_max=0.5
C₄/C₂	0.919635	0.825941	0.90778	0.847162	0.739693
C₄/C₂ stat.	0.0383068	0.0675193	0.0939595	0.120267	0.147006
C₄/C₂ sys.	0.0279926	0.0341576	0.0572817	0.10858	0.135754

\|y\|<y_max	y_max=0.1	y_max=0.2	y_max=0.3	y_max=0.4	y_max=0.5
C₄/C₂	0.883606	0.869161	0.794919	0.754616	0.632837
C₄/C₂ stat.	0.0141686	0.0238676	0.0333129	0.0424742	0.0553742
C₄/C₂ sys.	0.0115586	0.0077595	0.0381786	0.0608998	0.138702

\|y\|<y_max	y_max=0.1	y_max=0.2	y_max=0.3	y_max=0.4	y_max=0.5
C₄/C₂	0.834651	0.792961	0.699982	0.884228	0.792955
C₄/C₂ stat.	0.0634325	0.112184	0.159819	0.209559	0.250823
C₄/C₂ sys.	0.0389147	0.0957161	0.0773617	0.0953085	0.121927

\|y\|<y_max	y_max=0.1	y_max=0.2	y_max=0.3	y_max=0.4	y_max=0.5
C₄/C₂	0.98755	0.958088	0.920014	0.886837	0.900669
C₄/C₂ stat.	0.0490499	0.104612	0.137607	0.168852	0.208458
C₄/C₂ sys.	0.0488551	0.0702914	0.0973418	0.117084	0.139363

Data Points

Figure 1 Net Proton Event by Event Distribution

Figure 2 Net Proton Cumulants

Figure 3 Polynomial fit to data

S𝜎

κ𝜎2

Figure 4 Net Proton Cumulants Ratios

STAR Data

HRG

UrQMD

Supplemental material ： Fig. 2

Supplemental material ： Fig. 3

7.7 GeV

11.5 GeV

14.5 GeV

19.6 GeV

27 GeV

39 GeV

54.4 GeV

62.4 GeV

200 GeV

κ𝜎²