A possible description of baryon dynamics in dual and gauge theories
Abstract
We present an attempt to generalize to baryons a framework recently proposed in order to unify gauge, dual and ReggeGribov theories of mesons. We find it necessary to depart from the {1}/{N _{colour}} expansion of quantum chromodynamics (QCD) and to replace it by a more general definition of a "dual" approximation of QCD, based on the zerowidth limit. Theoretical and phenomenological consequences of the scheme are derived. For N_{colour} = 3, the baryon resembles a Y shaped string; three families of new "baryonium" bound states are predicted and rough estimates of intercepts and slopes of the associated Regge trajectories are given. A new type of Zweiglike selection rule is found to hold in leading order and its violations through higherorder topologies are discussed. Duality diagrams for baryons are ambiguous unless implemented with extra lines indicating the flow of certain colour indices. Duality between scattering and annihilation channels is found in B overlineB scattering and its consequences are discussed. Some justification is given for the quark counting rule for total cross sections. Finally, implications of our scheme for the ReggeGribov calculus in processes involving baryons are discussed.
 Publication:

Nuclear Physics B
 Pub Date:
 May 1977
 DOI:
 10.1016/05503213(77)90178X
 Bibcode:
 1977NuPhB.123..507R