Abstract
We discuss here a field-theoretic model of composite hadrons with quarks. The quark field operators are assumed to be broken up into particle and antiparticle components at any time similar to the large and small components of a free-Dirac-field operator. This assumption is made consistent with equal-time anticommutators. This implies that the Dirac Hamiltonian for quark field operators has four components: the particle, antiparticle, pair-creation, and pair-annihilation components. For a simple ansatz for the field operators, the latter two components need not vanish. The particle and antiparticle components along with some potential-like interactions are assumed to generate the hadrons as composite states. With the usual form of weak and electromagnetic currents, this yields some corrections to the Van Royen-Weisskopf relations and gives excellent agreement for the static properties of the nucleons. It is seen that the pair-creation component of the Hamiltonian can generate decay, with a correct branching ratio for . Thus, the pair-creation Hamiltonian seems to be the dynamical explanation of the Okubo-Zweig-Iizuka rule. Further, the pair-annihilation component of the Hamiltonian with minimal electromagnetic interaction also generates . With the mixing angle obtained from the quadratic mass formula, also seems to have a reasonable prediction. We have considered only nonrelativistic hadrons hoping that a potential-like description is valid in such a frame of reference.
- Received 7 April 1977
DOI:https://doi.org/10.1103/PhysRevD.18.1661
©1978 American Physical Society