Relativistic harmonic oscillator for spin-1/2 particles in the Bethe-Salpeter formalism

Journal Article · Tue Jul 15 04:00:00 EDT 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.22.419· OSTI ID:5207633

Henley, J R

A kernel for the spin-1/2 relativistic Bethe-Salpeter equation is proposed and the equation is solved in the nonrelativistic limit for the mass spectrum in the case of vector coupling. Numerical results are also presented for the fully relativistic case. It is found that in addition to the ordinary, evenly spaced energy levels of the nonrelativistic harmonic oscillator, the spin coupling produces another family of states with level spacing proportional to n, the principal quantum number. It is also found that in this model the phenomenology of the mesons can be reproduced qualitatively only for couplings strong enough to produce significant relativistic effects in the lowest-lying levels.

• Research Organization: Department of Physics, B-019, University of California, San Diego, La Jolla, California 92093
• OSTI ID: 5207633
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 22:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BETHE-SALPETER EQUATION
ENERGY LEVELS
EQUATIONS
FERMIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HARMONIC OSCILLATORS
KERNELS
MASS SPECTRA
PARTICLE PROPERTIES
QUANTUM NUMBERS
RELATIVITY THEORY
SPECTRA
SPIN