Solving momentum-space integral equations for quarkonium spectra with confining potentials. III. Bethe-Salpeter equation with spin

Journal Article · Mon Mar 01 00:00:00 EST 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.47.1282· OSTI ID:6690334

Spence, J R; Vary, J P ^[1]

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1. Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011 (United States)

Singular integral equations for quarkonium ([ital q[bar q]]) spectra are solved in momentum space for relativistic confinement plus Coulomb potentials including spin. The confinement potential in momentum space is defined using an analytical regularization scheme. Further manipulations give rise to integro-differential equations and we obtain analytical approximations for the remaining singular integrals. The procedure is tested with two different reductions of the Bethe-Salpeter equation. Using both scalar and scalar plus pseudoscalar confinement we obtain the spectra of charmonium, [ital b]-quarkonium, and the light mesons. We compare the results with experiment and with results obtained by other techniques. Eigenfunctions for selected eigenstates are presented. A good description of both the light and heavy mesons is then obtained with scalar linear confinement in the instantaneous approximation to the Bethe-Salpeter equation. This description is based upon the inclusion of a Breit term to approximate transverse gluon effects.

• DOE Contract Number: FG02-87ER40371
• OSTI ID: 6690334
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Vol. 47:3; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUARKONIUM
BETHE-SALPETER EQUATION
BAG MODEL
BOUND STATE
CONFINEMENT
COULOMB FIELD
ENERGY SPECTRA
INTEGRAL EQUATIONS
POTENTIALS
SPIN
ANGULAR MOMENTUM
COMPOSITE MODELS
ELECTRIC FIELDS
EQUATIONS
EXTENDED PARTICLE MODEL
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
QUARK MODEL
SPECTRA
662240* - Models for Strong Interactions- (1992-)