Solving the Richardson equations close to the critical points

Dominguez, F.; Esebbag, C.; Dukelsky, J.

Solving the Richardson equations close to the critical points

Authors

Dominguez, F.

Esebbag, C.

Dukelsky, J.

Description

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