论文标题
低密度的BCS能量间隙
The BCS Energy Gap at Low Density
论文作者
论文摘要
我们表明，BCS间隙方程的能量差距为$ξ=μ\ left（8 e^{ - 2} + o（1）\ right）\ exp \ left（\fracπ{2 \sqrtμA} \ right）在低密度限制$μ\μ\μ\ the y至0 $中。加上临界温度的相似结果[ARXIV：0803.3324]，这表明，在低密度限制下，能量隙和临界温度的比率是通用常数，独立于相互作用电位$ V $。结果适用于一类负面散射长度$ a $ and nobond状态的潜力类别。
We show that the energy gap for the BCS gap equation is $ Ξ= μ\left( 8 e^{-2} + o(1)\right) \exp\left( \fracπ{2\sqrtμ a}\right) $ in the low density limit $μ\to 0$. Together with the similar result for the critical temperature [arXiv:0803.3324] this shows that, in the low density limit, the ratio of the energy gap and critical temperature is a universal constant independent of the interaction potential $V$. The results hold for a class of potentials with negative scattering length $a$ and no bound states.
