Generalized Greuling Goertzel Kernel and Generalized Wigner Kernel for the CM Angular Distribution and the Anisotropic Scattering

In order to take into account the effect of the scattering angular distribution in the center of mass system in calculating the angular neutron flux in fast reactor assembly we develop the synthetic kernel approximation. In this paper the generalized Greuling Goertzel kernel (G^_n) and the generalized Wigner kernel (W^_n) are proposed in order to estimate such effects. These generalized synthetic kernels enable us to allow rapid computations of collision integrals and are useful for calculations of the angular neutron fluxes in the vicinity of scattering resonances