Effect of temperature on the effective mass and the neutron skin of nuclei

Abstract

We study the finite temperature Hartree-Fock-BCS approximation for selected stable Sn nuclei with zero-range Skyrme forces. Hartree Fock BCS approximation allows for a straightforward interpretation of the results since it involves u and v's which are not matrices as in HFB. Pairing transitions from superfluid to the normal state are studied with respect to the temperature. The temperature dependence of the nuclear radii and neutron skin are also analyzed. An increase of proton and neutron radii is obtained in neutron rich nuclei especially above the critical temperature. Using different Skyrme energy functionals, it is found that the correlation between the effective mass in symmetric nuclear matter and the critical temperature depends on the pairing prescription. The temperature dependence of the nucleon effective mass is also investigated, showing that proton and neutron effective masses display different behavior below and above the critical temperature, due to the small temperature dependence of the density.

arXiv comment16 pages, 7 figures

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• Multipole excitations in hot nuclei within the finite temperature quasiparticle random phase approximation framework
• Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains
• Stellar electron capture rates based on finite temperature relativistic quasiparticle random-phase approximation
• Temperature dependence of the volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model
• Nuclear excitations within microscopic EDF approaches : pairing and temperature effects on the dipole response
• Shape evolutions of ${}^{72,74}$Kr with temperature in the covariant density functional theory
• Clustering in nuclei at finite temperature
• Pairing-energy coefficients of neutron-rich fragments in spallation reactions