Matrix elements of many-particle-many-hole states with an application to isospin mixing in the mass-17 system

Abstract

General formulae are given for the evaluation of matrix elements involving m-particle- n-hole states in the occupation number representation. The technique of algebraic computation has been used as a check on the explicit results. As an example, the isospin impurities in the lowest T = 3 2 , J π = 1 2 − 2 p-1 h states of 17F and 17O are predicted using a simple model. Three different contributions to isospin mixing; the particle-particle terms, particle-hole terms, and the off-diagonal matrix elements of the isospin dependent Hartree-Fock energies are discussed. The importance is emphasized of accurate estimates of the Hartree-Fock energies for even qualitative predictions of isospin mixing with the anti-analogue state.