The BCS Critical Temperature for Potentials with Negative Scattering Length

Abstract

We prove that the critical temperature for the BCS gap equation is given by $T_c=\mu (8/\pi e^{\gamma -2}+o(1))e^{\pi /(2\sqrt{\mu }a)}$ in the low density limit $\mu \to 0$. The formula holds for a suitable class of interaction potentials with negative scattering length $a$ in the absence of bound states.

AMSLaTeX, 7 pages; Revised version, to appear in Lett. Math. Phys.

References in corpus (2)

• Critical Temperature and Energy Gap for the BCS Equation
• The BCS Functional for General Pair Interactions