Solving the Richardson equations close to the critical points
arXiv:math-ph/0609022 · doi:10.1088/0305-4470/39/37/002
Abstract
We study the Richardson equations close to the critical values of the paring strength g_c where the occurrence of divergencies preclude numerical solutions. We derive a set of equations for determining the critical g values and the non-collapsing pair energies. Studying the behavior of the solutions close to the critical points, we develop a procedure to solve numerically the Richardson equations for arbitrary coupling strength.
10 pages, 2 figures