Selection rules for ^48Cr

TL;DR

This paper investigates the unique selection rules in ^48Cr within the single j shell model, focusing on its T=0 and T=1 states, which are significant due to its mid-shell configuration for neutrons and protons.

Contribution

It introduces specific selection rules for ^48Cr's T=0 and T=1 states in the single j shell model, highlighting its unique nuclear structure features.

Findings

Identification of unique T=0 and T=1 states in ^48Cr

Derivation of selection rules based on mid-shell configuration

Insights into nuclear structure of even-even nuclei

Abstract

In the single j shell(f_{7/2}){}^{48} Cr is the first even-even nucleus for which there are T=0 (Isoscalar) J=1^{+} states and T=1J=0^{+}These states are here studied. This nucleus ,in the same model space, is mid-shell for both neutrons and protons and this leads to many selection rules.