Pairing interactions and the vanishing pairing correlations in hot nuclei

Details Pairing interactions and the vanishing pairing correlations in hot nuclei Pairing interactions and the vanishing pairing correlations in hot nuclei

2006-12-18

arxiv.org/abs/nucl-th/0612074v2

Nucl.Phys.A789:94-102,2007

Physics

Nuclear Physics

Nuclear Theory

6 pages, 7 figures revised version

Scientific paper

10.1016/j.nuclphysa.2007.03.005

Finite temperature Hartree-Fock-Bogoliubov calculations are performed in Sn isotopes using Skyrme and zero-range, density-dependent pairing interactions. For both stable and very neutron-rich nuclei the critical temperature at which pairing correlations vanish is independent of the volume/surface nature of the pairing interaction. The value of the critical temperature follows approximatively the empirical rule T$_c$ $\simeq$ 0.5 $\Delta_{T=0}$ for all the calculated isotopes, showing that the critical temperature could be deduced from the pairing gap at zero temperature. On the other hand, the pairing gap at temperatures just below T$_c$ is strongly sensitive to the volume/surface nature of the pairing interaction.

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