Energies and Regge trajectories from two-body relativistic bound state equations with quark confining interaction
Conference
·
· AIP Conference Proceedings (American Institute of Physics); (United States)
OSTI ID:5567183
- University of Wisconsin, La Crosse, WI 54601 (United States)
- Hampton University, Hampton, VA 23668 (United States)
- Kent State University, Kent, OH 44242 (United States)
Lattice gauge calculations have shown that the interaction between quarks is described by a Linear potential at large distances. Quarks in hadrons are only properly described by two-body relativistic bound state equations [1,2] which are most easily solved in momentum space. However the Linear potential leads to singularities in momentum space [3]. We show how to obtain exact solution the Schrodinger equation using a subtraction procedure to handle the singularities. This is generalized to a relativistic kernel by replacing 3-vectors with 4-vectors. We solve six different 3-dimensional reductions of the Bethe-Salpeter equation (BSE) by using a subtraction procedure tailored to the relativistic kernels.
- OSTI ID:
- 5567183
- Report Number(s):
- CONF-9206203--
- Conference Information:
- Journal Name: AIP Conference Proceedings (American Institute of Physics); (United States) Journal Volume: 269:1
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662240* -- Models for Strong Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BAG MODEL
BOUND STATE
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
MANY-BODY PROBLEM
MASS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
QUARKS
REGGE TRAJECTORIES
RELATIVITY THEORY
SCHROEDINGER EQUATION
SPINORS
TWO-BODY PROBLEM
WAVE EQUATIONS
662240* -- Models for Strong Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BAG MODEL
BOUND STATE
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
MANY-BODY PROBLEM
MASS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
QUARKS
REGGE TRAJECTORIES
RELATIVITY THEORY
SCHROEDINGER EQUATION
SPINORS
TWO-BODY PROBLEM
WAVE EQUATIONS