Fermi-liquid view of viscosity in cold and dense nucleon matter

Abstract

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 J. Li \emph{et al.} [Phys. Rev. C \textbf{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 ($T/{\mu }^{\ast }$) expressions for the shear ($\eta$) and bulk ($\zeta$) viscosities, where the behavior $\zeta /\eta \propto (T/{\mu }^{\ast }{)}^4$ 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 $\eta$ and $\zeta$ for cold, dense nucleon matter. The transport properties of nucleonic matter in the degenerate regime can be relevant for intermediate beam-energy nuclear experiments.

arXiv comment8 pages, 3 figures. Fig. 3 legend corrected. Results and conclusions unchanged

References in corpus (33)

• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Collective flow and viscosity in relativistic heavy-ion collisions
• A unified equation of state of dense matter and neutron star structure
• Elliptic flow of charged particles in Pb-Pb collisions at 2.76 TeV
• Bottom-up thermalization in heavy ion collisions
• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• Electron-Ion Collider in China
• Effective Kinetic Theory for High Temperature Gauge Theories
• Nucleon-Nucleon Scattering from Effective Field Theory
• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Determination of the Equation of State from Nuclear Experiments and Neutron Star Observations
• Reaction rates and transport in neutron stars
• Quasiparticle Theory of Transport Coefficients for Hadronic Matter at Finite Temperature and Baryon Density
• Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits
• Longitudinal dynamics and particle production in relativistic nuclear collisions
• Imaging the initial condition of heavy-ion collisions and nuclear structure across the nuclide chart
• The QCD phase diagram and Beam Energy Scan physics: a theory overview
• Multicomponent relativistic dissipative fluid dynamics from the Boltzmann equation
• Bulk viscosity and contact correlations in attractive Fermi gases
• Fluidity and supercriticality of the QCD matter created in relativistic heavy ion collisions
• Transport in strongly coupled quark matter
• Collectivity in Ultra-Peripheral Pb+Pb Collisions at the Large Hadron Collider
• Emergent interaction-driven elliptic flow of few fermionic atoms
• Estimate for the bulk viscosity of strongly coupled quark matter using perturbative QCD and holography
• Multicomponent second-order dissipative relativistic hydrodynamics with binary reactive collisions
• Do we need dense matter equation of state in curved spacetime for neutron stars?
• Does quark-gluon plasma feature an extended hydrodynamic regime?
• Effects of chiral symmetry restoration on meson and dilepton production in relativistic heavy-ion collisions
• Transport coefficients of nucleon neutron star cores for various nuclear interactions within the Brueckner-Hartree-Fock approach
• Liquid-Gas Phase Transitions and $\mathcal{C}\mathcal{K}$ Symmetry in Quantum Field Theories
• Transport coefficients of dense nucleon matter at low temperature