Thermodynamics of pairing transition in hot nuclei

Abstract

The pairing correlations in hot nuclei ${}^{162}$Dy are investigated in terms of the thermodynamical properties by covariant density functional theory. The heat capacities $C_V$ are evaluated in the canonical ensemble theory and the paring correlations are treated by a shell-model-like approach, in which the particle number is conserved exactly. A S-shaped heat capacity curve, which agrees qualitatively with the experimental data, has been obtained and analyzed in details. It is found that the one-pair-broken states play crucial roles in the appearance of the S shape of the heat capacity curve. Moreover, due to the effect of the particle-number conservation, the pairing gap varies smoothly with the temperature, which indicates a gradual transition from the superfluid to the normal state.

13 pages, 4 figures

References in corpus (5)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Thermodynamics of pairing in mesoscopic systems
• Pairing phase transition: A Finite-Temperature Relativistic Hartree-Fock-Bogoliubov study
• Pairing and specific heat in hot nuclei
• Free energy and criticality in the nucleon pair breaking process

Cited by in corpus (7)

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• Critical parameters of liquid-gas phase transition in thermal symmetric and asymmetric nuclear matter
• Abnormal Bifurcation of the Double Binding Energy Differences and Proton-Neutron Pairing: Nuclei Close to $N=Z$ Line from Ni to Rb
• Shape evolutions of ${}^{72,74}$Kr with temperature in the covariant density functional theory
• Thermodynamics of pairing transition for Odd-A nuclei
• Pairing-energy coefficients of neutron-rich fragments in spallation reactions