Field-theoretic model of composite hadrons. I

S. P. Misra
Phys. Rev. D 18, 1661 – Published 1 September 1978
PDFExport Citation

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 t 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 φKK decay, with a correct branching ratio for Γ(φK+K)Γ(φK0K¯0). 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 Γ(π02γ). With the mixing angle obtained from the quadratic mass formula, Γ(η2γ) 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

Authors & Affiliations

S. P. Misra

  • Institute of Physics, A/105, Sahid Nagar, Bhubaneswar-751007 India

Comments & Replies

ψ(3770) resonance and DD¯ production above charm threshold in e+e annihilation

S. P. Misra, K. Biswal, and B. K. Parida
Phys. Rev. D 21, 2029 (1980)

See Also

Field-theoretic model of composite hadrons. II

S. P. Misra
Phys. Rev. D 18, 1673 (1978)

References (Subscription Required)

Click to Expand
Issue

Vol. 18, Iss. 5 — 1 September 1978

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×