Special analytic properties of the amplitude for scattering on the Woods-Saxon potential |
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Authors: | Yu V Orlov |
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Institution: | (1) Institute of Nuclear Physics, Moscow State University, Vorob’evy gory, Moscow, 119899, Russia |
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Abstract: | It is shown that the s-wave partial amplitude f(k) for scattering on the real-valued Woods-Saxon potential V(r)=?V 0/1+exp((r?R)/d)] has very special analytic properties: the trajectories of the poles of the function k cotδ of the zeros of the amplitude f(k)] coincide with the lines of the dynamical singularities spurious poles of f(k)], so that the zeros and the poles compensate each other. In contrast to what is obtained for Yukawa-like potentials, the scattering length does not vanish here at zero energy. The results reported in this article were obtained analytically under the assumption that exp(-R/d)?1. The problem of revealing the poles of the function k cotδ in a partial-wave analysis of neutron scattering on nuclei is discussed. |
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