A shell-model calculation with reaction matrix elements

Abstract

A simple shell-model calculations of 18F 18O with no core polarization is performed using reaction matrix elements of the Hamada-Johnston potential. The matrix elements are calculated using harmonic oscillator intermediate states and the matrix inversion technique of Köhler and McCarthy. Results are presented for a variety of choices of the intermediate state spectrum, and its found that the T = 0 levels are sensitive to this; the T = 1 levels fairly insensitive. The results are compared with experiment and with the calculated values of Kuo. The difference between using the usual Brueckner Q and a more accurate shell-model Q is shown to be significant. Results are presented in which energies used in the reaction matrices are consistent with the resultant energy of each level.