Effects of particle-number conservation on heat capacity of nuclei

Abstract

By applying the particle-number projection to the finite-temperature BCS theory, the $S$-shaped heat capacity, which has recently been claimed to be a fingerprint of the superfluid-to-normal phase transition in nuclei, is reexamined. It is found that the particle-number (or number-parity) projection gives $S$-shapes in the heat capacity of nuclei which look qualitatively similar to the observed ones. These $S$-shapes are accounted for as effects of the particle-number conservation on the quasiparticle excitations, and occur even when we keep the superfluidity at all temperatures by assuming a constant gap in the BCS theory. The present study illustrates significance of the conservation laws in studying phase transitions of finite systems.

RevTeX4, 12 pages including 5 figures (1 color figure), to be published in PRC

References in corpus (5)

• Total and Parity-Projected Level Densities of Iron-Region Nuclei in the Auxiliary Fields Monte Carlo Shell Model
• Critical temperature for quenching of pair correlations
• Signature of a Pairing Transition in the Heat Capacity of Finite Nuclei
• Thermal properties and radiative strengths in 160,161,162Dy
• Quantum number projection at finite temperature via thermofield dynamics

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