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An actual problem in studying the interaction of nuclei is the assumption of the non-spherical shape of a particle [1]. Of particular interest is the variation in the scattering cross section. As an example, we consider neutron scattering at U$^{238}$.
Figure f1. Elastic scattering of neutron at uranium. The solid line represent scattering at spherical potential; the dashed line is result of averaging for axial-symmetrical potential; the dotted line is one component of the previous data, scattering at the axial-symmetrical potential for angle π/2.
In Figure f1 the results of calculation for spherical and axial-symmetrical potential are presented. The base of axial-symmetrical potential is ellipsoid with Wood-Saxon potential as in [2].
It can be seen that obtained features of the scattering do weakly correlate. Particularly, the positions of resonances that appear due to the combination of attractive and centrifugal potentials are shifted regarding the one with the axial-symmetrical potential.
[1] A.S.Umar and V.E.Oberacker, Phys. Rew. C, 74, 024606 (2006)
[2] Yinlu Han, et al., Phys. Rew. C 81, 024616 (2010)
