Fermi liquid properties of nuclear matter at finite temperature are
studied by employing a relativistic nonlinear (σ, ω) model of quantum
hadrodynamics (QHD). The relativistic nonlinear (σ, ω) model is one of the
thermodynamically consistent QHD approximations. The QHD approximations
maintain the fundamental requirement of density functional theory (DFT). Hence,
the finite temperature nonlinear (σ, ω) mean-field approximation can be
self-consistently constructed as a conserving approximation. Fermi liquid
properties of nuclear matter, such as incompressibility, symmetry energy, first
sound velocity and Landau parameters, are calculated with the nonlinear (σ, ω)
mean-field approximation, and contributions of nonlinear interactions and
finite temperature effects are discussed. Self-consistent structure to an employed
approximation as conserving approximation is essential to examine physical
quantities at finite temperature. Finite-temperature effects are not large at
high density, however, the Fermi ground state, density of states and
Fermi-liquid properties may be varied noticeably with a finite temperature (T‰10MeV) at low densities.
Low-density finite-temperature and high-density finite-temperature experiments
might exhibit physically different results, which should be investigated to
understand nuclear many- body phenomena.
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