Isospin nonconservation for fp-shell nuclei by spectral distribution theory

TL;DR

This paper uses spectral distribution theory to incorporate isospin nonconserving interactions in predicting ground state energies of fp-shell nuclei, simplifying calculations and comparing results with experimental data.

Contribution

It introduces a method to include isospin nonconservation in fp-shell nuclei using spectral distribution theory, highlighting the dominant role of the one-body isovector Hamiltonian.

Findings

Reasonable agreement with experimental data after Coulomb correction

Linear term mainly from one-body isovector Hamiltonian

Simplified approach for isospin nonconservation calculations

Abstract

The one- plus two-body isospin nonconserving nuclear interactions are included in the prediction of ground state energies of fp shell nuclei using spectral distribution theory. This in turn is used to calculate the linear term in the isobaric mass-multiplet equation and the predictions are then compared to experimental values after the addition of the Coulomb contribution. The agreement is found to be reasonable as observed for sd shell nuclei earlier. One also sees that in this method the contribution to the linear term comes almost completely from the one body isovector Hamiltonian and that results in a huge simplification of the problem.