Solving the Relativistic Inverse Scattering Problem with Allowance for Inelasticity Effects on the Basis of N/D Equations and Application of the Resulting Solution to an Analysis of Nucleon-Nucleon Interaction
- Institute of Nuclear Physics, Moscow State University, Vorob'evy gory, Moscow, 119899 (Russian Federation)
A manifestly Poincare-invariant approach to solving the inverse scattering problem is developed with allowance for inelasticity effects. The equations of the N/D method are used as dynamical equations in this approach. Two versions of the approach are considered. In the first version (method A), the required equations are constructed on the basis of the maximal-analyticity principle, which constitutes the basis of dynamical S-matrix theory. In formulating the second version of equations (method B), it is assumed that a partial-wave scattering amplitude may develop dynamical singularities that violate the requirement of maximal analyticity. The dynamics of interaction components that violate maximal analyticity is described within the model of a nonlocal separable potential. The method is used to analyze nucleon-nucleon interaction in the {sup 1}S{sub 0} and {sup 3}S{sub 1} states. The results obtained by solving the inverse scattering problem for potential functions are compared with the predictions of the one-boson-exchange model.
- OSTI ID:
- 20692706
- Journal Information:
- Physics of Atomic Nuclei, Vol. 67, Issue 12; Other Information: Translated from Yadernaya Fizika, ISSN 0044-0027, 67, 2269-2284 (No. 12, 2004); DOI: 10.1134/1.1842304; (c) 2004 MAIK ''Nauka / Interperiodica''; Country of input: International Atomic Energy Agency (IAEA); TN:; ISSN 1063-7788
- Country of Publication:
- United States
- Language:
- English
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