Quantum phase transitional patterns in the SD-pair shell model

TL;DR

This paper investigates shape-phase transitions in proton-neutron systems using the SD-pair shell model, revealing patterns similar to those in the interacting boson model and identifying critical point symmetries.

Contribution

It demonstrates that the SD-pair shell model exhibits shape-phase transition patterns akin to the U(5)-SU(3) and U(5)-SO(6) transitions, highlighting critical point symmetries.

Findings

Transitional patterns resemble those in the interacting boson model.

Identification of signatures of critical point symmetry.

Patterns observed in proton-neutron coupled systems.

Abstract

Patterns of shape-phase transition in the proton-neutron coupled systems are studied within the $SD$-pair shell model. The results show that some transitional patterns in the $SD$-pair shell model are similar to the $U(5)-SU(3)$, $U(5)-SO(6)$ transitions with signatures of the critical point symmetry of the interacting boson model.