The BCS Critical Temperature for Potentials with Negative Scattering Length

Details The BCS Critical Temperature for Potentials with Negative Scattering Length The BCS Critical Temperature for Potentials with Negative Scattering Length

2008-03-23

arxiv.org/abs/0803.3324v2

Lett. Math. Phys. 84, 99-107 (2008)

Physics

Mathematical Physics

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

Scientific paper

10.1007/s11005-008-0242-y

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.

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