Calculation of the higher order eigenvalues for a homogeneous sphere usingthe F-N method

The transport of monoenergetic neutrons in spherical geometry with forward scattering and vacuum boundary conditions is considered. The scaled transpo rt equation is solved using the F-N method by considering the pseudo-slab p roblem. Numerical results for the fundamental and higher order eigenvalues are presented for several significant figures. Some selected results are co mpared with those obtained using various methods in the literature. Finally , a few remarks about the behavior of the critically eigenvalue of the neut ron transport equation with forward scattering is given.