Algebraic solutions of mean-field plus T = 1 pairing interaction
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.
Publication Source (Journal or Book title)
Physical Review C - Nuclear Physics
Pan, F., & Draayer, J. (2002). Algebraic solutions of mean-field plus T = 1 pairing interaction. Physical Review C - Nuclear Physics, 66 (4), 443141-4431411. Retrieved from https://digitalcommons.lsu.edu/physics_astronomy_pubs/1870