Abstract
We discuss here diffraction scattering of hadrons in a field-theoretic model with quark field operators. We first note that a nonrelativistic model qualitatively describes correct baryon-baryon and baryon-meson slopes in terms of harmonic-oscillator wave functions. Next, for a relativistic description, we apply a Lorentzboosting scheme proposed earlier. It then becomes apparent that a current-current type of interaction in quark space can possibly reproduce baryon-baryon diffraction scattering. When we consider baryon-meson diffraction scattering, a change in the usual form of the current-current interaction becomes necessary to reproduce the quark additivity rule for hadron-hadron scattering; but even with this there is some mismatch with the pion charge radius. An alternative scheme of Lorentz boosting is discussed which has some similarity with the quasipotential approach. This field-theoretic analysis indicates the necessity of assumptions which are at present difficult to understand.
- Received 29 December 1977
DOI:https://doi.org/10.1103/PhysRevD.18.4103
©1978 American Physical Society