The charge dependence of the nuclear forces and the A = 14 isobaric triplet

Abstract

The aim of the present work is to obtain two equations for the four parameters specifying the charge-dependent two-nucleon potential that was suggested by Blin-Stoyle and Le Tourneux. [1] To do this, new wave functions for the first few low-lying levels of the A = 14 isobaric triplet 014 , N14 , and C14 are found. These wave functions contain contributions from the 2s-ld shell as well as the normal lp shell components. The method used is a variant of the effective interaction procedure. [2] The wave functions, so obtained, describe the ground state magnetic dipole and electric quadripole moments as well as the Ml gamma transition from the first excited state of N14 to its ground state. The energy separation of the first isobaric triplet of levels is then computed using these wave functions for the charge-dependent Coulomb and spin-orbit forces. The residual shifts are attributed to the charge-dependent nuclear force, and two equations for the four parameters are obtained.