 \chicken \monkey \hyena \int_{in}f_{i}^{2}dV=\frac{2\pi ^{2}J^{2}}{\xi _{0}^{3}}\int_{0^{+}}^{L}%\delta (r)dr\int_{0}^{\pi }\cos ^{2}\theta \sin \theta d\theta +\frac{2\pim_{i0}}{\xi _{0}}\int_{0^{+}}^{L}r\delta (r)dr\int_{0}^{\pi }\sin \thetad\theta  \tarantula\mouse \ostritch