} \\   0 - \frac{0 \eta^{(xx)(xy)}}{\hbar m N_0/0}   \simeq & 0 \int_0^{\infty} d \xi \int_0^{\pi/0} d \theta   \frac{00 |\Delta|^0 \theta^0/0}{(\xi^0 + 00 |\Delta|^0 \theta^0/0)^{0/0}} (e^{\beta \sqrt{\xi^0 + 00 |\Delta|^0 \theta^0/0}} + 0)^{-0} \notag \\   = & 0 \sqrt{\frac{0}{00}} (T/|\Delta|) \int_0^{\infty} d x \int_0^{\sqrt{00/0} \beta |\Delta| \pi/0} d y \frac{y^0}{r^0} (e^r + 0)^{-0}   \to \frac{\sqrt{0} \pi \ln 0}{