Low-Energy Neutron Scattering by a Spheroidal Complex Potential

The scattering and absorption of low-energy neutrons ($\mathrm{kR}\ll 1$) by complex square well potentials of spheroidal shape $r=R(1+a{P}_2)$ is calculated by expanding the neutron wave function in terms of appropriate spherical Bessel and Neumann functions times spherical harmonics. The convergence of the results obtained is demonstrated.