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.
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