Surface Delta Interaction and g factors

TL;DR

This paper uses a surface delta interaction model to calculate g factors for two neutrons in specific orbits, revealing that degeneracy leads to g factors equal to the orbital g factor, with spin contributions canceling out.

Contribution

It introduces a model for calculating g factors using surface delta interaction and explores effects of energy splitting between orbits.

Findings

g factors for degenerate orbits equal the orbital g factor

Spin contributions cancel out in the g factors

Energy splitting affects g factor calculations

Abstract

Using an attractive surface delta interaction we obtain wave functions for 2 neutrons (or neutron holes) in the model space of 2 orbits (l=4, j=7/2) and (l=2, j=5/2). If we take the single particle energies to be degenerate we find that the g factors for I=2, 4 and 6 are all the same -namely the orbital g factor of the single nucleon. For a free neutron this quantity zero all 2particle or 2 hole g factors are equal to zero as well.. Only the orbital part of the g -factors contribute - the spin part cancels out. We then consider the effects of introducing a single energy splititng between the 2 orbits. We speculate that g factors for all n can be obtained by a linear approximation.