An Exact Benchmark Calculation for l′th Mode Multigroup Transfer Matrix Analysis

There are few exact numerical solutions to which results from multigroup transfer matrix algorithms can be compared. Therefore, for isotropic elastic scattering in the center-of-mass system, exact numerical values have been calculated for Pl(μ), 0   l 20, the average Legendre coefficient of the scattered particle in the laboratory system. Both projectile and target masses are allowed to vary between 1 and 238 amu. It can be concluded that significant numerical uncertainties are possible in the calculation of the higher order transfer matrices.