Solving the four-dimensional $NN-πNN$ equations for scalars below meson-production threshold

Details Solving the four-dimensional $NN-πNN$ equations for scalars below meson-production threshold Solving the four-dimensional $NN-πNN$ equations for scalars below meson-production threshold

1996-05-04

arxiv.org/abs/nucl-th/9605004v1

Phys.Rev.C54:1542-1560,1996; Erratum-ibid.C55:3178,1997

Physics

Nuclear Physics

Nuclear Theory

23 pages, RevTeX, 17 encapsulated postscript files included, manuscript uses BoxedEPS.tex

Scientific paper

10.1103/PhysRevC.54.1542

The four-dimensional $NN-\pi NN$ equations are adapted to the case of scalar particles with a $\phi^2\sigma$ interaction Lagrangian, and solved for energies below the $\sigma$-production threshold. This is achieved in the approximation where $\phi\sigma$ scattering is dominated by the $s$-channel $\phi$-pole term. The importance of the removal of double-counting is investigated, and a detailed comparison of the results of a covariant coupled-channels formulation and the Bethe-Salpeter equation in the ladder and ladder plus crossed-box approximations is presented. A brief discussion of the extension of the method to energies above the $\sigma$-production threshold is given.

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