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Pairing phase transition: A finite-temperature relativistic Hartree-Fock-Bogoliubov study

Abstract : Background: The relativistic Hartree-Fock-Bogoliubov (RHFB) theory has recently been developed and it provides a unified and highly predictive description of both nuclear mean field and pairing correlations. Ground state properties of finite nuclei can accurately be reproduced without neglecting exchange (Fock) contributions. Purpose: Finite-temperature RHFB (FT-RHFB) theory has not yet been developed, leaving yet unknown its predictions for phase transitions and thermal excitations in both stable and weakly bound nuclei. Method: FT-RHFB equations are solved in a Dirac Woods-Saxon (DWS) basis considering two kinds of pairing interactions: finite or zero range. Such a model is appropriate for describing stable as well as loosely bound nuclei since the basis states have correct asymptotic behaviour for large spatial distributions. Results: Systematic FT-RH(F)B calculations are performed for several semi-magic isotopic/isotonic chains comparing the predictions of a large number of Lagrangians, among which are PKA1, PKO1 and DD-ME2. It is found that the critical temperature for a pairing transition generally follows the rule $T_c = 0.60\Delta(0)$ for a finite-range pairing force and $T_c = 0.57\Delta(0)$ for a contact pairing force, where $\Delta(0)$ is the pairing gap at zero temperature. Two types of pairing persistence are analysed: type I pairing persistence occurs in closed subshell nuclei while type II pairing persistence can occur in loosely bound nuclei strongly coupled to the continuum states. Conclusions: This first FT-RHFB calculation shows very interesting features of the pairing correlations at finite temperature and in finite systems such as pairing re-entrance and pairing persistence.
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Contributor : Sylvie Flores <>
Submitted on : Monday, June 22, 2015 - 9:14:41 AM
Last modification on : Wednesday, October 14, 2020 - 3:59:53 AM

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J.J. Li, J. Margueron, Wen Hui Long, Nguyen van Giai. Pairing phase transition: A finite-temperature relativistic Hartree-Fock-Bogoliubov study. Physical Review C, American Physical Society, 2015, 92 (1), pp.014301. ⟨10.1103/PhysRevC.92.014302⟩. ⟨in2p3-01166062⟩



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