Bootstrap Algebras for Baryons and Mesons
Abstract
A dynamical model based on linearized D functions leads to a series of relations called the bootstrap algebras. Under specific conditions these algebras imply that the 1/2 ^{+} baryons must belong to a representation of the Lie algebra whose structure constants are given by the vectormeson coupling constants. If the uchannel forces admit of a static approximation, the algebras lead to consequences which are the same as those of the spininternalsymmetry groups, while avoiding the usual difficulties encountered for the couplings in these groups. Several such systems leading to consequences of groups like SU (6), Sp(16), and the strongcoupling group are discussed. The results are shown to be applicable to mesonmeson scattering even though the light pseudoscalars are exchanged in the u channel. It is found that the pseudoscalarmesonvectormeson couplings in the SU (6) model and the strongcoupling model are in remarkable agreement with each other.
 Publication:

Physical Review
 Pub Date:
 June 1967
 DOI:
 10.1103/PhysRev.158.1580
 Bibcode:
 1967PhRv..158.1580P