Nuclear matter symmetry energy from generalized polarizabilities: dependences on momentum, isospin, density and temperature

Abstract

Symmetry energy terms from macroscopic mass formulae are investigated as generalized polarizabilities of nuclear matter. Besides the neutron-proton (n-p) symmetry energy the spin dependent symmetry energies and a scalar one are also defined. They depend on the nuclear densities ($\rho$), neutron-proton asymmetry ($b$), temperature ($T$) and exchanged energy and momentum ($q$). Based on a standard expression for the generalized polarizabilities, a differential equation is proposed to constrain the dependence of the symmetry energy on the n-p asymmetry and on the density. Some solutions are discussed. The q-dependence (zero frequence) of the symmetry energy coefficients with Skyrme-type forces is investigated in the four channels of the particle-hole interaction. Spin dependent symmetry energies are also investigated indicating much stronger differences in behavior with $q$ for each Skyrme force than the results for the neutron-proton one.

28 pages, five figures. Some comments/discussion were modified

References in corpus (18)

• Determination of the Equation of State of Dense Matter
• Isospin Asymmetry in Nuclei and Neutron Stars
• Effects of momentum-dependent symmetry potential on heavy-ion collisions induced by neutron-rich nuclei
• Isospin fractionation and isoscaling in dynamical nuclear collisions
• Momentum dependence of the symmetry potential and nuclear reactions induced by neutron-rich nuclei at RIA
• Constraining the neutron-proton effective mass splitting in neutron-rich matter
• Effect of symmetry energy on two-nucleon correlation functions in heavy-ion collisions induced by neutron-rich nuclei
• Symmetry energy and the isospin dependent equation of state
• Spin polarized states in strongly asymmetric nuclear matter
• Observable effects of symmetry energy in heavy-ion collisions at RIA energies
• The nonrelativistic limit of the relativistic point coupling model
• Limiting temperature from microscopic equation of state
• Isospin fractionation in the nucleon emissions and fragment emissions in the intermediate energy heavy ion collisions
• Comments on the nuclear symmetry energy
• On the linear term in the nuclear symmetry energy
• Spin-asymmetry energy of nuclear matter
• Re-visit the N/Z ratio of free nucleons from collisions of neutron -rich nuclei as a probe of EoS of asymmetric nuclear matter
• Symmetry energy coefficients for asymmetric nuclear matter

Cited by in corpus (9)

• Cross-shell excitation in two-proton knockout: Structure of ${}^{52}$Ca
• Linear response of homogeneous nuclear matter with energy density functionals
• Probing the symmetry energy from the nuclear isoscaling
• Spin polarized neutron matter within the Dirac-Brueckner-Hartree-Fock approach
• Spin-polarized neutron matter at different orders of chiral effective field theory
• Spin- and isospin-polarized states of nuclear matter in the Dirac-Brueckner-Hartree-Fock model
• The splitting of the one-body potential in spin-polarized isospin-symmetric nuclear matter
• Temperature dependence of nuclear matter generalized isovector symmetry energy with Skyrme-type interactions
• Spin-isospin stability of nuclear matter