Effect of splitting of the neutron and proton effective mass on nuclear symmetry energy at finite temperature

Abstract

We present the temperature and density dependence of symmetry energy for nuclear matter at finite temperature based on the approach of the thermodynamics with Skyrme energy density functional. We first classify the Skyrme interactions into 7 groups according to the range of neutron and proton effective mass in neutron matter limit(99.99 per cent neutron in the matter). We find that there is obvious correlation between the temperature dependence of the symmetry energy and the splitting of the neutron and proton effective mass. For some Skyrme interactions with $m_n^{\ast }>m_p^{\ast }$ and strong splitting of the neutron and proton effective mass in asymmetric nuclear matter, a transition of the temperature dependence of symmetry energy from decreasing with temperature at low densities to increasing with temperature at high densities appears. For other Skyrme interactions, we do not observe such phenomenon. Our study show that the symmetry energy in hot asymmetric matter not only depends on symmetry potential part but also on the splitting of the neutron and proton effective mass to a certain extent.

5 pages, 3 figures, accepted for Phys. Lett. B

References in corpus (9)

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• Neutron and Proton Transverse Emission Ratio Measurements and the Density Dependence of the Asymmetry Term of the Nuclear Equation of State
• Experimental determination of the symmetry energy of a low density nuclear gas
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• Interdependence of different symmetry energy elements
• Constraining simultaneously nuclear symmetry energy and neutron-proton effective mass splitting with nucleus giant resonances from a dynamical approach
• Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions
• Thermal properties of asymmetric nuclear matter with an improved isospin- and momentum-dependent interaction
• Isospin splitting of nucleon effective mass from giant resonances in ${}^{208}$Pb
• EoS for hot neutron stars
• Revisit of the neutron/proton ratio puzzle in intermediate-energy heavy-ion collisions
• Warm dense matter and cooling of supernovae remnants
• Neutron-proton effective mass splitting in neutron-rich matter
• The nucleon effective mass and its isovector splitting
• Correlations among symmetry energy elements in Skyrme models
• Limiting symmetry energy elements from empirical evidence
• Revisiting the isospin relaxation time in intermediate-energy heavy-ion collisions
• Thermal impacts on the properties of nuclear matter and young neutron star
• Sensitive dependence of isotope and isobar distribution of limiting temperatures on symmetry energy