Y. F. Niu, Z. M. Niu, N. Paar, D. Vretenar, G. H. Wang, J. S. Bai, J. Meng
The finite-temperature relativistic Hartree-Bogoliubov theory based on the point-coupling functional with the Gogny or separable pairing force for spherical nuclei is established and applied in the study of pairing phase transition in Ca, Sn and Pb isotopes with the effective interaction PC-PK1. It turns out that the separable pairing force reproduces well the pairing gaps calculated from the Gogny force not only at zero temperature, but also at finite temperatures. Through the systematic calculation of the even-even nuclei in Ca, Sn and Pb isotopes, it is found that the critical temperature for the pairing phase transition follows the rule of $T_c =0.6 \Delta_n(0)$ for nuclei with valence nucleons crossing different major shells, where $\Delta_n(0)$ is the neutron pairing gap at zero temperature. This rule is further proofed by adjusting the pairing gap at zero temperature through a pairing strength parameter.
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http://arxiv.org/abs/1306.4749
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