Semi-classical phase equivalent deep and shallow potentials

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Abstract:

Semi-classical expressions for scattering phase shifts which change in a continuous way from very low energies below the Coulomb barrier to high energies above the barrier are obtained. They satisfy a generalized form of Levinson's theorem. These results lead to a semi-classical method for finding a shallow potential which is phase equivalent to a deep potential. The method has been applied to two examples of α-nucleus scattering.

Document Type: Research Article

DOI: http://dx.doi.org/10.1088/0954-3899/35/8/085103

Publication date: August 1, 2008

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