Null-plane formulation of Bethe-Salpeter qqq dynamics: Baryon mass spectra

Journal Article · Tue Mar 01 00:00:00 EST 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.1268· OSTI ID:5343420

Kulshreshtha, D S; Mitra, A N

The Bethe-Salpeter (BS) equation for a qqq system is formulated in the null-plane approximation (NPA) for the BS wave function, as a direct generalization of a corresponding QCD-motivated formalism developed earlier for qq-bar systems. The confinement kernel is assumed vector type (..gamma../sub ..mu..//sup (1)/..gamma../sub ..mu..//sup (2)/) for both qq-bar and qq pairs, with identical harmonic structures, and with the spring constant proportional, among other things, to the running coupling constant ..cap alpha../sub s/ (for an explicit QCD motivation). The harmonic kernel is given a suitable Lorentz-invariant definition (not D'Alembertian/sup 2/delta/sup 4/(q)), which is amenable to NPA reduction in a covariant form. The reduced qqq equation in NPA is solved algebraically in a six-dimensional harmonic-oscillator (HO) basis, using the techniques of SO(2,1) algebra interlinked with S/sub 3/ symmetry. The results on the nonstrange baryon mass spectra agree well with the data all the way up to N = 6, thus confirming the asymptotic prediction Mapprox.N/sup 2/3/ characteristic of vector confinement in HO form. There are no extra parameters beyond the three basic constants (..omega../sub 0/,C/sub 0/,m/sub u//sub d/) which were earlier found to provide excellent fits to meson spectra (qq-bar).

• Research Organization: Department of Physics, University of Delhi, Delhi 110007, India
• OSTI ID: 5343420
• Journal Information: Phys. Rev. D; (United States), Vol. 37:5
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
MASS SPECTRA
QUARKONIUM
BETHE-SALPETER EQUATION
COUPLING CONSTANTS
HARMONIC OSCILLATOR MODELS
LAGRANGIAN FUNCTION
LORENTZ INVARIANCE
MESONS
QUANTUM CHROMODYNAMICS
WAVE FUNCTIONS
BOSONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
QUANTUM FIELD THEORY
SPECTRA
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