On the asymptotic methods for nuclear collective models

TL;DR

This paper explores asymptotic methods applied to nuclear collective models, focusing on group contractions and semiclassical analysis to understand quantum phase transitions in nuclei.

Contribution

It introduces new asymptotic techniques for analyzing nuclear collective models using group contractions and semiclassical methods.

Findings

Group contractions relate orthogonal and Euclidean groups in nuclear models.

Semiclassical asymptotics provide insights into quantum phase transitions.

Analytic descriptions improve understanding of nuclear collective behaviors.

Abstract

Contractions of orthogonal groups to Euclidean groups are applied to analytic descriptions of nuclear quantum phase transitions. The semiclassical asymptotic of multipole collective Hamiltonians are also investigated.