Relativistic extensions of heavy quark static potentials through two body Dirac equations
We use two-body Dirac equations derived from constraint mechanics and supersymmetry to extend the range of validity of various one or two parameter models for the heavy quark static potential to the relativistic light quark regime. These models include the leading log model for all length scales derived by Adler and Piran (through effective action methods) as well as cruder phenomenological models like Richardson's potential. The manifest covariance of our procedure for both dynamics and kinematics extends the range of applicability of these potentials, providing good overall fits to the entire meson spectrum. We use Pade' approximants to generalize the Van Royen-Weisskopf decay formula to relativistic wave functions.
- Research Organization:
- The University of Tennessee Space Institute, Tullahoma, TN 37388
- OSTI ID:
- 6145084
- Report Number(s):
- CONF-8504133-; TRN: 87-036162
- Journal Information:
- AIP Conf. Proc.; (United States), Vol. 132:1; Conference: International conference on hadron spectroscopy, College Park, MD, USA, 20 Apr 1985
- Country of Publication:
- United States
- Language:
- English
Similar Records
Applications of two-body Dirac equations to the meson spectrum with three versus two covariant interactions, SU(3) mixing, and comparison to a quasipotential approach
Relativistic naive quark model for spinning quarks in mesons
Related Subjects
MESONS
MASS SPECTRA
QUARK-QUARK INTERACTIONS
POTENTIALS
TWO-BODY PROBLEM
DIRAC EQUATION
RELATIVITY THEORY
BOSONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HADRONS
INTERACTIONS
MANY-BODY PROBLEM
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
SPECTRA
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory
645204 - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties