Thermal effects on nuclear symmetry energy with a momentum-dependent effective interaction

Abstract

The knowledge of the nuclear symmetry energy of hot neutron-rich matter is important for understanding the dynamical evolution of massive stars and the supernova explosion mechanisms. In particular, the electron capture rate on nuclei and/or free protons in presupernova explosions is especially sensitive to the symmetry energy at finite temperature. In view of the above, in the present work we calculate the symmetry energy as a function of the temperature for various values of the baryon density, by applying a momentum-dependent effective interaction. In addition to a previous work, the thermal effects are studied separately both in the kinetic part and the interaction part of the symmetry energy. We focus also on the calculations of the mean field potential, employed extensively in heavy ion reaction research, both for nuclear and pure neutron matter. The proton fraction and the electron chemical potential, which are crucial quantities for representing the thermal evolution of supernova and neutron stars, are calculated for various values of the temperature. Finally, we construct a temperature dependent equation of state of $\beta$-stable nuclear matter, the basic ingredient for the evaluation of the neutron star properties.

18 pages, 10 figures, 1 table, accepted for publication in Physical Review C

References in corpus (4)

• Isospin Diffusion in Heavy-Ion Collisions and the Neutron Skin Thickness of Lead
• Temperature effects on the nuclear symmetry energy and symmetry free energy with an isospin and momentum dependent interaction
• Effects of isospin and momentum dependent interactions on liquid-gas phase transition in hot asymmetric nuclear matter
• Evolution of the symmetry energy of hot neutron-rich matter formed in heavy-ion reactions

Cited by in corpus (6)

• Effects of isospin and momentum dependent interactions on thermal properties of asymmetric nuclear matter
• Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains
• Temperature and momentum dependence of single-particle properties in hot asymmetric nuclear matter
• Symmetry energy of hot nuclei in the relativistic Thomas-Fermi approximation
• Nuclear Chemical and Mechanical Instability and the Liquid-Gas Phase Transition in Nuclei
• Temperature dependence of nuclear matter generalized isovector symmetry energy with Skyrme-type interactions