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\title{{\Large Precision measurements of light hypernuclei lifetime and $R_3$ in Au+Au Collisions from STAR experiment}}% Force line breaks with \\

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\author{\large Xiujun Li(USTC), Yuanjing Ji(LBNL) }
\affiliation{\normalsize for the STAR Collaboration}
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\begin{abstract}
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Hypernuclei are bound nuclear systems of correlated nucleons and hyperons. Therefore, the production of hypernuclei in heavy-ion collisions provides an experimental avenue for studying the hyperon$-$nucleon (Y-N) interaction, which is an important ingredient, not only in the equation-of-state (EoS) of astrophysical objects such as neutron stars but also in the description of the hadronic phase of a heavy-ion collision.
The strength of the Y-N interaction can be investigated by measuring the properties of hypernuclei.
For example, light $\Lambda$-hypernuclei containing one hyperon are conventionally understood as a weakly bound system of a $\Lambda$ and a nucleus,
suggesting their lifetimes are close to the free-$\Lambda$ lifetime.

In heavy-ion collisions, light hypernuclei are expected to be abundantly produced at low energies due to the high baryon density.
In this poster, we will report precise lifetime measurements of $^3_{\Lambda}H$, $^4_{\Lambda}H$ and $^4_{\Lambda}He$ in Au+Au collisions at $\sqrt{s_{NN}}$ = 3 GeV and 7.2 GeV, recorded by the  STAR experiment at RHIC in the fixed-target mode in 2018.
We also present the relative branching ratio $R_3$ of $^3_{\Lambda}H$ and $^4_{\Lambda}H$, where $R_3$ is the fraction of the two-body decay rate out of the sum of two-body and three-body decay rates.
The results will be compared with model calculations and physics implications will be discussed.
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