Equivalent Local Potentials and Perey Factors for Various Kinds of Relative Wave Functions of RGM. I: Formulation
Open Access
- 1 February 1983
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 69 (2) , 516-534
- https://doi.org/10.1143/ptp.69.516
Abstract
By using the same WKB treatment as applied successfully to the non-local potential for the usual RGM relative wave function ϰ, the equivalent local potential and the Perey factor are derived for the other types of RGM relative wave functions √Nϰ and Nϰ where N is the normalization kernel. The equivalent local potentials for ϰ, √Nϰ and Nϰ are shown to be the same as each other. ϰ, √Nϰ and Nϰ have a common flux and it is compared with the flux by the equivalent local potential. Reliability of the WKB treatment is shown to be high by a numerical check of the accuracy of semi-classical relations among ϰ, √Nϰ and Nϰ and derived by the WKB treatment.Keywords
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