Nuclear energy functional with a surface-peaked effective mass: Global properties

Abstract

A correction to the nuclear functional is proposed in order to improve the density of states around the Fermi surface. The induced effect of this correction is to produce a surface-peaked effective mass, whose mean value can be tuned to get closer to 1 for the states close to the Fermi energy. In this work we study the effect of the correction term on global properties of nuclei such as the density of states in ${}^{40}$Ca and ${}^{208}$Pb, pairing and specific heat at low temperature in ${}^{120}$Sn. In the latter application, an explicit temperature-dependent form of the correction term is employed and it is shown that the critical temperature is reduced by 40-60~keV.

3 tables, 10 figures

References in corpus (11)

• Particle-vibration coupling within covariant density functional theory
• BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter
• Effective pairing interactions with isospin density dependence
• Non-empirical pairing energy functional in nuclear matter and finite nuclei
• Odd-even mass difference and isospin dependent pairing interaction
• Microscopic evaluation of the pairing gap
• Core polarization for the electric quadrupole moment of neutron-rich Aluminum isotopes
• Neutron specific heat in the crust of neutron stars from the nuclear band theory
• Surface-peaked effective mass in the nuclear energy density functional and its influence on single-particle spectra
• Pairing correlations and effective mass
• The nuclear energy density functionals with modified radial dependence of the isoscalar effective mass

Cited by in corpus (11)

• Effective pseudopotential for energy density functionals with higher order derivatives
• Nuclear Equation of state for Compact Stars and Supernovae
• Pairing and specific heat in hot nuclei
• The nuclear energy density functional formalism
• Effect of temperature on the effective mass and the neutron skin of nuclei
• Continuity equation and local gauge invariance for the N3LO nuclear Energy Density Functionals
• Thermodynamics of small superconductors with fixed particle number
• Sensitivity of $\beta$-decay rates to the radial dependence of the nucleon effective mass
• Nuclear Shell Structure in a Finite-Temperature Relativistic Framework
• Temperature evolution of the nuclear shell structure and the dynamical nucleon effective mass
• Finite temperature description of Fermi gases with in-medium effective mass