Shape co-existence and parity doublet in Zr isotopes

TL;DR

This paper investigates the structural properties of Zr isotopes across the nuclear chart using relativistic and non-relativistic mean field models, revealing spherical and superdeformed states along with parity doublets.

Contribution

It introduces a comprehensive analysis of Zr isotopes with multiple mean field approaches, highlighting the coexistence of different nuclear shapes and parity doublets.

Findings

Identification of spherical ground states in most isotopes

Discovery of superdeformed excited states

Observation of parity doublet configurations

Abstract

We studied the ground and excited states properties for Zr isotopes starting^M from proton to neutron drip-lines using the relativistic and non-relativistic mean field formalisms with BCS and Bogolyubov pairing. The celebrity NL3 and SLy4 parameter sets are used in the calculations. We find spherical ground and low-lying^M superdeformed excited states in most of the isotopes. Several couples of^M $\Omega^{\pi}=1/2^{\pm}$ parity doublets configurations are found,^M while analyzing the single-particle energy levels of the superdeformed ^M configurations.