Speaker
Description
We present finite temperature Dirac-Hartree-Bogoliubov (FTDHB) calculations
for the tin isotope chain to study the dependence of pseudospin on
the nuclear temperature. In the FTDHB calculation, the density dependence of the
self-consistent relativistic mean fields, the pairing, and the vapor phase
that takes into account the unbound nucleon states are considered
self-consistently. The mean field potentials obtained in the FTDHB
calculations are fit by Woods-Saxon (WS) potentials to examine how the
WS parameters are related to the energy splitting of the pseudospin pairs as
the temperature increases . We find that the nuclear potential surface
diffuseness is the main driver for the pseudospin splittings and that it increases as the temperature grows. We conclude that pseudospin symmetry is better realized when the nuclear temperature increases . The results confirm the findings of previous works using RMF theory at zero temperature, namely that the correlation between the pseudospin splitting and the parameters of the Woods-Saxon potentials implies that pseudospin symmetry is a dynamicalsymmetry in nuclei. We show that the dynamical nature of the pseudospin symmetry remains when the temperature is considered in a realistic calculation of the tin isotopes, such as that of the Dirac-Hartree-Bogoliubov formalism.
