# Quark model based relativistically invariant meson exchange forces for two-nucleon scattering

**ABSTRACT** A momentum space OBEP for the two-nucleon scattering is constructed starting from a relativistically invariant quark model predictions of the meson-nucleon coupling constants. Taking a relativistic meson propagators and working in a quasipotential Blankenbecler-Sugar two-nucleon dynamics the relativistic invariance of the whole problem is maintained. The NN forces are generated by an exchange of the, , , ,(600),, , and mesons. Phenomenological form factors for all meson-nucleon vertices and effective (600) and meson-nucleon couplings are utilized. The calculated NN phase shifts are in good agreement with the empirical data and with the predictions of the conventional Bonn OBEP model.

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- Physics Reports 05/1987; 149:1. DOI:10.1016/S0370-1573(87)80002-9 · 22.91 Impact Factor
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**ABSTRACT:**We describe the nucleon-nucleon interaction in a quark cluster model based on the resonating group method. Extending the model consistently to antiquark degrees of freedom, meson-meson, meson-nucleon and nucleon-antinucleon scattering become accessible. Within this extended model both the nucleon-nucleon phase shifts and the nonresonant phase shifts in the pion-pion and pion-nucleon scattering are reproduced reasonably well. Finally, we demonstrate how scattering and annihilation of the pp̄-system can be described consistently in a coupled channel approach.Nuclear Physics A 03/1989; DOI:10.1016/0375-9474(89)90096-1 · 2.50 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**A set of three-dimensional coupled linear integral equations is presented for relativistic scattering and production processes. The new equations seem more amenable to numerical analysis than the standard Bethe-Salpeter equations. In addition one may discuss multiparticle scattering and hence inelastic processes. As a numerical example we discuss low-energy pion-pion scattering in the simplest approximation. We find that there are no self-consistent values for the mass and width of the rho meson if one takes into account only the elastic and pi-omega channels.Physical Review 02/1966; 142(4):1051-1059. DOI:10.1103/PhysRev.142.1051