Isoscalar g Factors of Even-Even and Odd-Odd Nuclei

TL;DR

This paper investigates isoscalar g factors in N=Z nuclei, showing that simple shell model expressions closely match collective values and many states have g factors near 0.5, revealing underlying nuclear structure patterns.

Contribution

It provides simple shell model formulas for isoscalar g factors in even-even and odd-odd nuclei, connecting them to collective model values.

Findings

Single j shell model yields simple g factor expressions.

Many 2+ states in even-even nuclei have g factors close to 0.5.

1+ and 3+ states in odd-odd nuclei also have g factors near 0.5.

Abstract

We consider T=0 states in even-even and odd-odd N=Z nuclei. The g factors that emerge are isoscalar. We find that the single j shell model gives simple expressions for these g factors which for even-even nuclei are suprisingly close to the collective values for K=0 bands. The g factors of many 2+ in even-even nuclei and 1+ and 3+ states in odd-odd nuclei have g factors close to 0.5.