Gauging the three-nucleon spectator equation

Details Gauging the three-nucleon spectator equation Gauging the three-nucleon spectator equation

1997-06-22

arxiv.org/abs/nucl-th/9706052v1

Phys.Rev.C56:2973-2986,1997

Physics

Nuclear Physics

Nuclear Theory

23 pages, REVTeX, epsf, 4 Postscript figures

Scientific paper

10.1103/PhysRevC.56.2973

We derive relativistic three-dimensional integral equations describing the interaction of the three-nucleon system with an external electromagnetic field. Our equations are unitary, gauge invariant, and they conserve charge. This has been achieved by applying the recently introduced gauging of equations method to the three-nucleon spectator equations where spectator nucleons are always on mass shell. As a result, the external photon is attached to all possible places in the strong interaction model, so that current and charge conservation are implemented in the theoretically correct fashion. Explicit expressions are given for the three-nucleon bound state electromagnetic current, as well as the transition currents for the scattering processes \gamma He3 -> NNN, Nd -> \gamma Nd, and \gamma He3 -> Nd. As a result, a unified covariant three-dimensional description of the NNN-\gamma NNN system is achieved.

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