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The multi-body neutrino potential energy is analytically estimated for aspherical neutron star with a vector potential model for neutrinos. We showthat the self-energy and the neutrino number of the neutron star coincide withthe semi-classical values in the large volume limit, and confirm that there isno catastrophe in neutron stars with massless neutrinos.Comment: 9 pages, 1 figure. Some minor corrections. A note and some references  are added. To be appeared in Prog. Theor. Phy

Finiteness of Multi-Body Neutrino Exchange Potential Energy in Neutron Stars