Quantum and classical analyses of intertwined phase transitions in odd-mass Nb isotopes

TL;DR

This paper investigates intertwined quantum phase transitions in odd-mass Nb isotopes using the interacting boson-fermion model, revealing both gradual and abrupt shape changes and their effects on single particle motion.

Contribution

It introduces a combined quantum and classical analysis of intertwined QPTs in Nb isotopes, highlighting the coexistence of Type I and Type II transitions.

Findings

Identification of Type I and Type II QPTs in Nb isotopes

Demonstration of intertwined quantum phase transitions

Implications for single particle motion in deformed fields

Abstract

Quantum phase transitions (QPTs) in odd-mass Nb isotopes are investigated in the framework of the interacting boson-fermion model with configuration mixing. A quantum analysis reveals a Type I QPT (gradual shape-evolution within the intruder configuration) superimposed on a Type II QPT (abrupt crossing of normal and intruder states), thus demonstrating the occurrence of intertwined QPTs. A classical analysis highlights the implications for the single particle motion in the deformed field generated by the even-even Zr cores.