Algebraic solutions of mean-field plus T = 1 pairing interaction

Feng Pan, Liaoning Normal University
J. P. Draayer, Louisiana State University


A general procedure, based on the Bethe ansatz, is proposed for finding algebraic solutions for low-lying J = 0 states of 2 k nucleons interacting with one another through a T = 1 charge-independent pairing interaction. The results provided by Richardson are shown to be valid for up to two pairs, k≤2; expressions are given here for up to three pairs, k≤3. The results show that a set of highly nonlinear equations must be solved for k≥3.