Cooper pair binding energy (source code)

= Cooper pair binding energy
{c}
{title2=$B=-E$}

For shell width $D$, attraction $g>0$ and constant single-spin <density of states> $\rho$, $1=(g\rho/2)\log[(2D+B)/B]$ gives $B=2D/[\exp(2/(g\rho))-1]$. The pair <energy> relative to the free threshold is $-B$. At weak coupling this scale is nonanalytic in $g$.