Fermi-liquid view of viscosity in cold and dense nucleon matter
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| Format: | Preprint |
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2025
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| _version_ | 1866909937853005824 |
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| author | Li, Jianing Ke, Weiyao Hu, Jin |
| author_facet | Li, Jianing Ke, Weiyao Hu, Jin |
| contents | We develop a framework to calculate transport properties in cold, dense relativistic quasiparticle system within the Fermi-liquid theory at the mean-field level. Building on our previous study [Phys. Rev. C 111, 044904 (2025)], we start from the linearized relativistic Boltzmann equation tailored to quasiparticles with medium-dependent dispersion relation and implement Landau matching conditions, proving that the bulk viscosity is manifestly nonnegative. A low-temperature expansion then yields leading-order ($T/μ^*$) expressions for the shear ($η$) and bulk ($ζ$) viscosities, where the behavior $ζ/η\propto (T/μ^*)^4$ in the degenerate regime is found to be robust against quasiparticle mass correction. We couple the kinetic framework to a Walecka-type mean-field equation of state and compute $η$ and $ζ$ for cold, dense nucleon matter. The transport properties of nucleonic matter in the degenerate regime can be relevant for intermediate beam-energy nuclear experiments. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_01544 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fermi-liquid view of viscosity in cold and dense nucleon matter Li, Jianing Ke, Weiyao Hu, Jin Nuclear Theory Strongly Correlated Electrons High Energy Physics - Phenomenology High Energy Physics - Theory We develop a framework to calculate transport properties in cold, dense relativistic quasiparticle system within the Fermi-liquid theory at the mean-field level. Building on our previous study [Phys. Rev. C 111, 044904 (2025)], we start from the linearized relativistic Boltzmann equation tailored to quasiparticles with medium-dependent dispersion relation and implement Landau matching conditions, proving that the bulk viscosity is manifestly nonnegative. A low-temperature expansion then yields leading-order ($T/μ^*$) expressions for the shear ($η$) and bulk ($ζ$) viscosities, where the behavior $ζ/η\propto (T/μ^*)^4$ in the degenerate regime is found to be robust against quasiparticle mass correction. We couple the kinetic framework to a Walecka-type mean-field equation of state and compute $η$ and $ζ$ for cold, dense nucleon matter. The transport properties of nucleonic matter in the degenerate regime can be relevant for intermediate beam-energy nuclear experiments. |
| title | Fermi-liquid view of viscosity in cold and dense nucleon matter |
| topic | Nuclear Theory Strongly Correlated Electrons High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.01544 |