Probing nuclear liquid-gas phase transition with isospin correlations
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912519158759424 |
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| author | Marczenko, Michał Redlich, Krzysztof Sasaki, Chihiro |
| author_facet | Marczenko, Michał Redlich, Krzysztof Sasaki, Chihiro |
| contents | We investigate the fluctuations of the net-baryon number near the critical point of the liquid-gas phase transition. We use the parity doublet model in the mean-field approximation fixed to the zero-temperature properties of nuclear matter to account for critical behavior. We explicitly calculate the fluctuations of the net-proton and net-neutron numbers as well as their correlations in the isospin-symmetric matter. We focus on the qualitative properties and systematics of the first- to fourth-order susceptibilities and their ratios. We demonstrate that the fluctuations of net-proton number do not reflect the total net-baryon number fluctuations in the vicinity of the nuclear liquid-gas phase transition. We also study the behavior of the baryon and proton number factorial cumulants. We highlight the importance of the non-trivial correlations between protons and neutrons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21746 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Probing nuclear liquid-gas phase transition with isospin correlations Marczenko, Michał Redlich, Krzysztof Sasaki, Chihiro Nuclear Theory High Energy Physics - Phenomenology We investigate the fluctuations of the net-baryon number near the critical point of the liquid-gas phase transition. We use the parity doublet model in the mean-field approximation fixed to the zero-temperature properties of nuclear matter to account for critical behavior. We explicitly calculate the fluctuations of the net-proton and net-neutron numbers as well as their correlations in the isospin-symmetric matter. We focus on the qualitative properties and systematics of the first- to fourth-order susceptibilities and their ratios. We demonstrate that the fluctuations of net-proton number do not reflect the total net-baryon number fluctuations in the vicinity of the nuclear liquid-gas phase transition. We also study the behavior of the baryon and proton number factorial cumulants. We highlight the importance of the non-trivial correlations between protons and neutrons. |
| title | Probing nuclear liquid-gas phase transition with isospin correlations |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2410.21746 |