Solvababe supersymmetric algebraic model for descriptions of transitional even and odd mass nuclei near the critical point of the spherical to unstable shapes

TL;DR

This paper introduces an exactly solvable algebraic model based on nuclear supersymmetry to describe transitional nuclei near the critical point of shape change, extending duality relations to mixed boson-fermion systems.

Contribution

It develops a new supersymmetric algebraic model for transitional nuclei, incorporating duality relations and applying it to experimental data near critical points.

Findings

Model successfully describes E(5) and E(5/4) nuclei near critical point.

Extends dual algebraic structures to mixed boson-fermion systems.

Provides experimental evidence supporting the supersymmetric approach.

Abstract

Exactly solvable solution for the spherical to gamma - unstable transition in transitional nuclei based on dual algebraic structure and nuclear supersymmetry concept is proposed. The duality relations between the unitary and quasispin algebraic structures for the boson and fermion systems are extended to mixed boson-fermion system. It is shown that the relation between the even-even and odd-A neighbors implied by nuclear supersymmetry in addition to dynamical symmetry limits can be also used for transitional regions. The experimental evidences are presented for even- even [E(5)] and odd-mass [E(5/4)] nuclei near the critical point symmetry.