Pairing reentrance in warm rotating $^{104}$Pd nucleus

TL;DR

This paper investigates the pairing reentrance phenomenon in warm rotating $^{104}$Pd nucleus using an advanced BCS-based approach, revealing an anomalous enhancement in nuclear level densities consistent with experimental data.

Contribution

It introduces the FTBCS1 method accounting for quasiparticle fluctuations, providing a theoretical explanation for the experimentally observed pairing reentrance in finite nuclei.

Findings

Pairing reentrance observed at low excitation energy and high angular momentum.

Enhanced nuclear level densities match experimental observations.

First experimental indication of pairing reentrance in a finite nucleus.

Abstract

Pairing reentrance phenomenon in the warm rotating $^{104}$Pd nucleus is studied within the Bardeen-Cooper-Schrieffer (BCS)-based approach (the FTBCS1). The theory takes into account the effect of quasiparticle number fluctuations on the pairing field at finite temperature and angular momentum within the pairing model plus noncollective rotation along the symmetry axis. The numerical calculations for the pairing gaps and nuclear level densities (NLD), of which an anomalous enhancement has been experimentally observed at low excitation energy $E^*$ and high angular momentum $J$, show that the pairing reentrance is seen in the behavior of pairing gap obtained within the FTBCS1 at low $E$ and high $J$. This leads to the enhancement of the FTBCS1 level densities, in good agreement with the experimental observation. This agreement indicates that the observed enhancement of the NLD might be the first experimental detection of the pairing reentrance in a finite nucleus.