Relativistic quark-antiquark bound-state problem with spin-dependent interactions in momentum space
Journal Article
·
· Physical Review, D (Particles Fields); (United States)
- Department of Physics, Florida State University, Tallahassee, Florida 32306 (United States)
- Department of Physics and Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306 (United States)
The work described in this paper is the first step toward a relativistic three-quark bound-state calculation using a Hamiltonian consistent with the Wigner-Bargmann theorem and macroscopic locality. We give an explicit demonstration that we can solve the two-body problem in momentum space with spin-dependent interactions. The form of the potential is a combination of linear+Coulomb+spin-spin+spin-orbit+tensor, which includes confinement and is of the general form consistent with rotation, space-reflection, and time-reversal invariance. A comparison is made with previous calculations using an alternate technique and with the experimental meson mass spectrum. The results obtained suggest that the model is realistic enough to provide a two-body basis for the three quark baryon problem in which the Poincare group representation is unitary and cluster separability is respected.
- DOE Contract Number:
- FG05-86ER40273; FG05-85ER25000
- OSTI ID:
- 7170566
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:9; ISSN 0556-2821; ISSN PRVDAQ
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
662240* -- Models for Strong Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOSONS
BOUND STATE
COMPOSITE MODELS
CONFINEMENT
ELEMENTARY PARTICLES
ENERGY RANGE
HADRONS
HAMILTONIANS
INVARIANCE PRINCIPLES
LIE GROUPS
MASS SPECTRA
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESONS
MOTION
P INVARIANCE
PARTICLE MODELS
PARTICLE PROPERTIES
POINCARE GROUPS
POTENTIALS
QUANTUM OPERATORS
QUARK MODEL
QUARKONIUM
RELATIVISTIC RANGE
ROTATION
SPECTRA
SPIN
SYMMETRY GROUPS
T INVARIANCE
TENSORS
UNITARITY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOSONS
BOUND STATE
COMPOSITE MODELS
CONFINEMENT
ELEMENTARY PARTICLES
ENERGY RANGE
HADRONS
HAMILTONIANS
INVARIANCE PRINCIPLES
LIE GROUPS
MASS SPECTRA
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESONS
MOTION
P INVARIANCE
PARTICLE MODELS
PARTICLE PROPERTIES
POINCARE GROUPS
POTENTIALS
QUANTUM OPERATORS
QUARK MODEL
QUARKONIUM
RELATIVISTIC RANGE
ROTATION
SPECTRA
SPIN
SYMMETRY GROUPS
T INVARIANCE
TENSORS
UNITARITY