Our primary interest is in the relativistic quantum mechanics of strongly interacting, few-particle systems. At the present time, the focus is on the pion-nucleon, two-nucleon, and three-nucleon systems. Our relativistic models for these systems satisfy exactly the requirements of special relativity and quantum mechanics. The interactions employed are either purely phenomenological or derived from particle exchange processes, as described by quantum field theory. Calculations are being carried out on pion-nucleon, nucleon-nucleon, and nucleon-deuteron scattering. The coupling of these systems to the electromagnetic field is also under investigation. In particular, the photoproduction of pions from a nucleon is being analyzed, as well as the electromagnetic form factors of the deuteron.

SELECTED PROJECTS

• The relativistic quantum mechanics of few-particle systems, funded by the National Science Foundation

PUBLICATIONS

• Y. Elmessiri and M. G. Fuda. Poincaré invariant exchange model for pion-nucleon scattering. Phys. Rev. C (to appear).
• Y. Elmessiri and M. G. Fuda. Poincaré invariant coupled channel model for the pion-nucleon system, II: An extended model. Phys. Rev. C 57:2149 (1998).
• M. G. Fuda. Poincaré invariant coupled channel model for meson photoproduction. Few-Body Systems 23:127­48 (1998).
• M. G. Fuda and Y. Zhang. Comparison of instant and front form one-particle exchange models. Phys. Rev. C 54:495 (1996).
• M. G. Fuda. Poincaré invariant­coupled channel model for the pion-nucleon system. Phys. Rev. C 52:2875 (1995).

Fig 1 Processes contributing to the photoproduction of mesons.