Relativistic Covariance and Quark-Diquark Wave Functions

Details Relativistic Covariance and Quark-Diquark Wave Functions Relativistic Covariance and Quark-Diquark Wave Functions

2006-04-24

arxiv.org/abs/nucl-th/0604060v1

Physics

Nuclear Physics

Nuclear Theory

14 pages, 3 figures

Scientific paper

We derive covariant wave functions for hadrons composed of two constituents for arbitrary Lorentz boosts. Focussing explicitly on baryons as quark-diquark systems, we reduce their manifestly covariant Bethe-Salpeter equation to covariant 3-dimensional forms by projecting on the relative quark-diquark energy. Guided by a phenomenological multi gluon exchange representation of covariant confining kernels, we derive explicit solutions for harmonic confinement and for the MIT Bag Model. We briefly sketch implications of breaking the spherical symmetry of the ground state and the transition from the instant form to the light cone via the infinite momentum frame.

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