Shape phase transition in the odd Sm nuclei: effective order parameter and odd-even effect

TL;DR

This paper investigates shape phase transitions in odd Sm nuclei using binding-energy-related quantities as effective order parameters, revealing enhanced signals compared to even nuclei and modeling pairing effects with a mean field plus pairing interaction approach.

Contribution

It introduces the use of specific binding-energy quantities as effective order parameters to analyze shape phase transitions in odd Sm nuclei, highlighting the enhanced transition signals and modeling pairing effects.

Findings

Enhanced phase transition signals in odd Sm nuclei compared to even nuclei

Monotonic decrease in pairing strength G during the transition

Effective modeling of pairing effects with mean field plus pairing interaction

Abstract

Some binding-energy-related quantities serving as effective order parameters have been used to analyze the shape phase transition in the odd Sm nuclei. It is found that the signals of phase transition in the odd Sm nuclei are greatly enhanced in contrast to the even Sm nuclei. A further analysis shows that the transitional behaviors related to pairing in the Sm nuclei can be well described by the mean field plus pairing interaction model, with a monotonic decrease in the pairing strength $G$.