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.

arXiv comment18 pages, 10 figures, 1 table, accepted for publication in Physical Review C

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Cited by in corpus (22)

• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Nuclear constraints on properties of neutron star crusts
• The Microscopic Approach to Nuclear Matter and Neutron Star Matter
• Surface properties of neutron-rich exotic nuclei: A source for studying the nuclear symmetry energy
• Probing isospin- and momentum-dependent nuclear effective interactions in neutron-rich matter
• Effects of isospin and momentum dependent interactions on thermal properties of asymmetric nuclear matter
• Neutron-proton effective mass splitting and thermal evolution in neutron rich matter
• Equation of state for $\beta$-stable hot 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
• Temperature dependence of symmetry energy of finite nuclei
• Effect of splitting of the neutron and proton effective mass on nuclear symmetry energy at finite temperature
• Nuclear symmetry energy and the role of three-body forces
• Symmetry energy of warm nuclear systems
• Temperature dependence of the volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model
• Symmetry energy of hot nuclei in the relativistic Thomas-Fermi approximation
• Nuclear Chemical and Mechanical Instability and the Liquid-Gas Phase Transition in Nuclei
• Equation of state for dense supernova matter
• Symmetry energy effects on isovector properties of neutron rich nuclei with a Thomas-Fermi approach
• Temperature dependence of nuclear matter generalized isovector symmetry energy with Skyrme-type interactions
• Sensitive dependence of isotope and isobar distribution of limiting temperatures on symmetry energy
• Density functional approach to finite temperature nuclear properties and the role of a momentum dependent isovector interaction