Low-energy interaction in the quark model: a calculation of the constituent-gluon mass, of virtual diquark levels, of the masses of mesons of lower multiplets, and of the amplitudes qq. -->. qq and qq-bar. -->. qq-bar
We calculate the low-energy amplitudes qq..-->..qq and qq-bar..-->..qq-bar (where q = u, d, s) of the interaction of dressed quarks in the framework of the N/D dispersion method by means of an iterative bootstrap procedure with two types of bare point interaction: with the quantum numbers of a gluon and of a white isosinglet pseudoscalar meson. We determine the masses of the lowest mesons (J/sup P/ = 0/sup -/,1/sup -/, and 0/sup +/) and their quark content (the mixing angles). The transition amplitudes satisfy the Okubo-Zweig-Iitzuka rule. In the colored meson channel we obtain a bound state which is a constituent gluon with a mass M/sub g/ = 0.7 GeV. The amplitudes have virtual 3-bar/sub c/ diquark levels with J/sup P/ = 0/sup +/,1/sup +/, and 0/sup -/. The resulting interaction of the dressed quarks turns out to be effectively short-range.
- Research Organization:
- Leningrad Institute of Nuclear Physics, USSR Academy of Sciences
- OSTI ID:
- 6687700
- Journal Information:
- Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 44:1; ISSN SJNCA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Dirac bound-state spectra of QQ-bar, qq-bar, and Qq-bar systems
Bootstrap procedure in the quasinuclear model of quarks
Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
GLUONS
HADRONS
INTERACTIONS
MASS
MATHEMATICAL MODELS
MESONS
N-D METHOD
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUARK MODEL
QUARK-ANTIQUARK INTERACTIONS
QUARK-QUARK INTERACTIONS
QUARKONIUM
SCATTERING AMPLITUDES
TRANSITION AMPLITUDES