One-speed neutron transport in reflected spheres

The transport of one-speed neutrons has been studied in isotropically scattering spheres with reflective boundaries. An integral equation for the total flux has been derived and solved numerically for various radii and reflexion coefficients. Calculations have also been done for spheres in vacuum with varying degree of strongly peaked forward and backward scattering, so called Inonii scattering. Some special cases have been studied in detail, such as that when the forward- backward scattering dominates over the isotropic scattering