Mean-field theory of confined particles; Off-mass-shell aspects of relativistic wave functions

Journal Article · Fri Apr 20 00:00:00 EDT 1990 · International Journal of Modern Physics A; (USA)

DOI:https://doi.org/10.1142/S0217751X90000660· OSTI ID:5930312

Bannur, V M; Celenza, L S; Chen, H E; Gao, S F; Shakin, C M ^[1]

---

1. Dept. of Physics and Center for Nuclear Theory, Brooklyn College of the City Univ. of New York, Brooklyn, NY (US)

The authors study nonlinear equations in two variables which arise in a theory of nontopological solitons. For simplicity, we limit our considerations to a relativistic mean-field description of two scalar particles which form a bound state. They present results for a model in which the constituents have a momentum-dependent mass whose form is motivated by nonperturbative QCD studies. They discuss the probability distribution of the squared four-momentum, k{sup 2}, of a particle of momentum k{sub {mu}}. They also introduce a definition of the constituent mass of our particles and comment on the relation of our model to the constituent quark model of hadron structure. The wave functions obtained have an interesting structure and are free of the on-mass-shell singularities which are present in solutions of conventional Bethe-Salpeter equations.

• OSTI ID: 5930312
• Journal Information: International Journal of Modern Physics A; (USA), Vol. 5:8; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BETHE-SALPETER EQUATION
HADRONS
QUARK MODEL
MEAN-FIELD THEORY
SCALAR MESONS
BOUND STATE
MASS
NONLINEAR PROBLEMS
PARTICLE STRUCTURE
QUANTUM CHROMODYNAMICS
RELATIVISTIC RANGE
SOLITONS
WAVE FUNCTIONS
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FIELD THEORIES
FUNCTIONS
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUASI PARTICLES
645400* - High Energy Physics- Field Theory
645204 - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics