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Semi-classical phase equivalent deep and shallow potentials

H Horiuchi1,4, D M Brink2 and M Islam3

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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.


PACS

25.55.-e 3H-, 3He-, and 4He-induced reactions

27.20.+n 6(less-than-or-equal-to)A(less-than-or-equal-to)19

Subjects

Nuclear physics

Dates

Issue 8 (August 2008)

Received 28 February 2008

Published 8 July 2008



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