Strange baryon spectra in a Bethe-Salpeter dynamical model

Journal Article · Thu Jun 20 04:00:00 EDT 1991 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X91001283· OSTI ID:5439352

Londergan, J T; Mitra, A N ^[1]

---

1. Physics Dept., Nuclear Theory Center, Indiana Univ., Bloomington, IN (US)

A Bethe-Salpeter equation (BSE) has been derived using a covariant confining interaction motivated from QCD. Recently, this interaction has been applied to a qqq system under the null plane ansatz (NPA), which reduces the resulting equations to three-dimensional form. For equal mass quarks, encouraging results were obtained for baryon masses and quantum numbers. In the present paper, this formalism is generalized to unequal mass kinematics and applied to the spectroscopy of strange baryons ({Lambda}, {Sigma}, {Xi}, {Omega}). All input parameters are fixed from previous calculations. The reduced qqq equation in the NPA is solved algebraically in a six-dimensional harmonic oscillator basis, on lines analogous to the corresponding techniques developed for the equal mass qqq problem. The results on the {Lambda}, {Sigma} spectra are in good agreement with data, where available, up to levels N = 5. Our results are compared with those from another relativized potential of baryon masses.

• OSTI ID: 5439352
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 6:15; ISSN IMPAE; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662230 -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
BETHE-SALPETER EQUATION
ELECTRONIC EQUIPMENT
ELEMENTARY PARTICLES
EQUATIONS
EQUIPMENT
FERMIONS
FIELD THEORIES
HADRONS
HARMONIC OSCILLATORS
HYPERONS
MANY-DIMENSIONAL CALCULATIONS
MASS SPECTRA
OMEGA BARYONS
OSCILLATORS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM NUMBERS
QUARKS
SIGMA BARYONS
SPECTRA
STRANGE PARTICLES
THREE-DIMENSIONAL CALCULATIONS
XI BARYONS