Breaking of nucleon Cooper pairs at finite temperature in 93-98Mo

Abstract

The S shape of the canonical heat capacity is known as a signature of the pairing transition and along an isotopic chain it is significantly more pronounced for nuclei with an even number of neutrons than with an odd number. Although the heat capacities extracted from experimental level densities in 93-98Mo exhibit a clear S shape, they do not show such an odd-even staggering. To understand the underlying physics, we analyze thermal quantities evaluated from the partition function calculated using the static-path plus random-phase approximation (SPA+RPA) in a monopole pairing model with number-parity projection. The calculated level densities reproduce very well the experimental data and they also agree with estimates using the back-shifted Fermi-gas model. We clarify the reason why the heat capacities for Mo isotopes do not show odd-even staggering of the S shape. We also discuss thermal odd-even mass differences in 94-97Mo using the three-, four-, and five-point formula. These thermal mass differences are regarded as indicators of pairing correlations at finite temperature.

6 pages, 6 figures, accepted for publication in Phys. Rev. C

References in corpus (4)

• Level densities and thermodynamical quantities of heated 93-98Mo isotopes
• Pairing transition of nuclei at finite temperature
• Quenching of pairing gap at finite temperature in 184W
• Contour integral method for thermal and quantal fluctuations

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• Nuclear level density and thermal properties of ${}^{115}$Sn from neutron evaporation
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• Re-investigation of heat capacity and paring phase transition in hot ${}^{93-98}$Mo nuclei