IS0TR0PIZATI0N OF NEUTRON ELASTIC SCATTERING CONSTANTS

G. A. Goncharov, V. P. Gorelov, G. G. Farafontov, V. Kh. Khoruzhiy
VANT. Ser.: Mat. Mod. Fiz. Rroc 1989. Вып.3. С. 16-23.

      Results of comparing various isotropizations of group scattering constants are given. A special attention is paid to studying effects of arising negative transport constants. A simple way to overcome negativity is proposed. Computational results are supplied allowing to formulate most desirable way of isotropization for fast neutron transfer applications.

      A complete solution of P_2N-1-approximation of neutron transfer equation is obtained for the central region of a sphere containing an isotropic source at the origin of coordinates. The involved unknown coefficients are suggested to evaluate with the Adamskaya-Godunov method. Divergence of r^-2 even components of the desired vector, divergence of r^-1 odd components are found as compared to known solution, the logarithmic singularity is taken into account.