Shell model calculations of nuclear magnetic moments and M1 transition probabilities in the 2s1/2 1d3/2 shell

Abstract

Recently, shell model wave functions for low-lying nuclear states in the range 29Si-40Ca with intermediate coupling and configurational mixing, have been calculated. In this paper these wave functions are used to obtain numerical values for magnetic dipole moments and magnetic dipole transition rates.

Expressions are given for the matrix elements of the magnetic dipole operator in terms of single-particle matrix elements. The ground state magnetic moments and the widths for M1 transitions to the ground state are calculated (i) with single-particle g values; (ii) with effective g values) for the nuclei in the range 29Si-40Ca. The results are tabulated.