2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/182008We 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 figuresMathematical PhysicsSuperconductivityExactly Solvable and Integrable SystemsNuclear TheorySolving the Richardson equations close to the critical pointstext