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.