Constraining the Phase-Transition EoS using the Energy Dependence of Directed Flow
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| Format: | Preprint |
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2024
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| _version_ | 1866917289466527744 |
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| author | Wu, Zhi-Min Yong, Gao-Chan Li, Qingfeng |
| author_facet | Wu, Zhi-Min Yong, Gao-Chan Li, Qingfeng |
| contents | We propose a hybrid equation of state (VDF+MIT EoS) to describe the hadron-quark phase transition in dense nuclear matter. By coupling this EoS with the AMPT-HC transport model and comparing to recent experimental data on proton and $Λ$ directed flow $v_1$, we constrain the transition to likely occur near $5ρ_0$--$6ρ_0$, ruling out transitions below $3ρ_0$. Furthermore, we introduce the energy derivative of the mid-rapidity $v_1$ slope, $d(dv_1/dy)/d(\sqrt{s_{NN}})$, as a weakly model-dependent observable. Its zero crossing provides a direct signature of the phase transition critical point, offering a new tool for mapping the QCD phase diagram in future experiments. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_13107 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constraining the Phase-Transition EoS using the Energy Dependence of Directed Flow Wu, Zhi-Min Yong, Gao-Chan Li, Qingfeng Nuclear Theory Nuclear Experiment We propose a hybrid equation of state (VDF+MIT EoS) to describe the hadron-quark phase transition in dense nuclear matter. By coupling this EoS with the AMPT-HC transport model and comparing to recent experimental data on proton and $Λ$ directed flow $v_1$, we constrain the transition to likely occur near $5ρ_0$--$6ρ_0$, ruling out transitions below $3ρ_0$. Furthermore, we introduce the energy derivative of the mid-rapidity $v_1$ slope, $d(dv_1/dy)/d(\sqrt{s_{NN}})$, as a weakly model-dependent observable. Its zero crossing provides a direct signature of the phase transition critical point, offering a new tool for mapping the QCD phase diagram in future experiments. |
| title | Constraining the Phase-Transition EoS using the Energy Dependence of Directed Flow |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2411.13107 |