Analyticity of amplitudes and separable potentials

Mitra, A. N. (1961) Analyticity of amplitudes and separable potentials Physical Review, 123 (5). pp. 1892-1895. ISSN 0031-899X

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Expressions for the partial scattering amplitudes from nonlocal separable potentials are written down in the form of dispersion relations. These relations are automatically expressible in the N/D form discussed by Chew and Mandelstam. Criteria for "acceptable" separable potential shapes are discussed. The relation between "local" and separable potentials is clarified with the help of a concrete potential shape which conforms to the above criteria. With such a potential shape the physical meaning of the "range of the interaction" in terms of separable potentials becomes clearer. As an elementary application of such "analytic" potentials, the low-energy 2-body parameters are evaluated.

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Source:Copyright of this article belongs to The American Physical Society.
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