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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

  • Elementary Particles and Fields
  • Theory
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Abstract

A manifestly Poincaré-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 1 S 0 and 3 S 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.

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  1. Institute of Nuclear Physics, Moscow State University, Vorob'evy gory, Moscow, 119899, Russia

    A. N. Safronov & A. A. Safronov

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  1. A. N. Safronov
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__________

Translated from Yadernaya Fizika, Vol. 67, No. 12, 2004, pp. 2269–2284.

Original Russian Text Copyright © 2004 by A.N. Safronov, A.A. Safronov.

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Safronov, A.N., Safronov, A.A. 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. Phys. Atom. Nuclei 67, 2245–2259 (2004). https://doi.org/10.1134/1.1842304

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  • DOI: https://doi.org/10.1134/1.1842304

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