Nullplane dynamics for fewquark systems
Abstract
A Lorentzinvariant formulation of the 3dimensional harmonic oscillator is proposed for serving as the confining part of the kernel of a BetheSalpeter equation for a qq system, and likewise for a qqq system. Such a kernel is amenable to an effective 3dimensional reduction in the nullplane approximation (NPA), so as to maintain explicit NPAcovariance for the (reduced) BS equations as well as the corresponding wave functions. This rectifies the mathematical limitation of an earlier BS formulation (by Mitra and coworkers) for qq and qqq systems with noncovariant h. o. kernels which was restricted to the instantaneous approximation and was therefore valid only for slowly moving hadrons. The present (covariant) formulation agrees exactly with the earlier (noncovariant) treatment for hadrons at rest, thus preserving all the physical results on mass spectra, etc., obtained with the latter, but is now formally applicable to processes involving hadrons in motion.
 Publication:

FewBody Systems
 Pub Date:
 March 1986
 DOI:
 10.1007/BF01075291
 Bibcode:
 1986FBS.....1...47S