Solving the Richardson equations close to the critical points

Details Solving the Richardson equations close to the critical points Solving the Richardson equations close to the critical points

2006-09-08

arxiv.org/abs/math-ph/0609022v1

J.Phys.A39:11349,2006

Physics

Mathematical Physics

10 pages, 2 figures

Scientific paper

10.1088/0305-4470/39/37/002

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.

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