Abstract
An exactly soluble two-body model is used to investigate Coulomb effects on S-wave asymptotic normalization constants. The model consists of an S-wave separable interaction with and without a repulsive Coulomb interaction. Relative to the case without the Coulomb interaction, it is shown explicitly that an S-wave asymptotic normalization constant is affected in two compensating ways by the presence of the Coulomb interaction: (1) The asymptotic norm decreases due to the decrease in binding energy; (2) the asymptotic norm increases due to the modification in the tail of the wave function brought about by the long-range nature of the Coulomb interaction. For a system like /sup 3/He, these are approximately 5% effects that essentially cancel each other, leading to nearly equal asymptotic normalization constants for /sup 3/H and /sup 3/He.
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