Relativistic Bound States of Fermions and Antifermions
A theory of hadron formation is presented, in which all observed hadrons are assumed to be relativistic bound states of fermions and antifermions. The studies undertaken are carried out totally within the framework of relativistic quantum field theory. The strong Hamiltonian is expressed as the sum of H(,bound) and H(,decay), where the eigenstates of H(,bound) are the observed hadrons and H(,decay) is responsible for their strong decay. H(,bound) and H(,decay) are derived by means of a canonical transformation, which amounts to partially eliminating gluons in the underlying theory, in which underlying fermions are interacting universally with a neutral vector gluon and also a neutral axial-vector gluon, both of which are assumed to be quite heavy. The underlying theory is compatible with the Weinberg theory of weak and electromagnetic interactions. The eigenstates of the bound state Hamiltonian H(,bound) are determined, using the covariant Bethe-Salpeter formalism. The masses of all the nonsinglet S- and P-wave mesons, including B and T mesons, are evaluated. The masses of the (SIGMA) and (XI) baryons are evaluated, and the absence of the (DELTA) and (ZETA) baryons is explained. The relativistic two- and three-body bound-state wave functions for the bound state of a fermion and an antifermion, and for the bound state of two fermions and an antifermion, respectively, are determined. The radiative decay rates of various mesons, and the magnetic moments of (SIGMA) and (XI) hyperons are evaluated, and compared with experiment.
- Pub Date:
- QUANTUM FIELD THEORY;
- Physics: Elementary Particles and High Energy