Abstract
With use made of the synthetic scattering kernel presented in a previous paper a simple analytic formula for the neutron slowing down spectrum is obtained within the order of the G.G. approximation under the condition that the elastic scattering is anisotropic in the center of mass system (c.m.s.). In the formula thus derived the Legendre expansion coefficient of the scattering angular distribution is included explicity in the form of arbitrary functions of energy. Scattering and absorption cross sections are also treated as arbitrary functions of energy. Collorary information deriving directly from the formula obtained, such as resonance escape probability and the effect of finite buckling are discussed.