Effective non-Coulombic power-law potential for the study of light and heavy mesons

Journal Article · Sun Aug 01 04:00:00 EDT 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.26.618· OSTI ID:5021959

Barik, N; Jena, S N

From purely phenomenological considerations we have shown that it is possible to describe successfully the heavy meson spectra of cc-bar and bb-bar systems in the framework of an effective non-Coulombic power-law potential in the form V(r) = V/sub 0/+ar/sup ..nu../ (with a,..nu..>0). The nonsingular short-distance behavior of this potential, which is in apparent contradiction with the predictions of quantum- chromodynamics, does not pose any problem in explaining the fine-hyperfine splitting, if we prescribe the spin dependence to be generated through this static confining potential in the form of an approximately equal admixture of scalar and vector parts with no contributions from the anomalous quark magnetic moments. This nonrelativistic formalsm, when extended to a unified study of the entire meson spectra including the ordinary light and the heavy mesons, gives a very good account of the meson masses, fine-hyperfine splittings, electromagnetic transition rates, and leptonic decay widths without reflecting any inadequacy in the short- and long-range behavior of this simple effective power-law potential.

• Research Organization: Department of Physics, Utkal University, Bhubaneswar-751004, Orissa, India
• OSTI ID: 5021959
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:3; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BASIC INTERACTIONS
BOSONS
BOUND STATE
DECAY
EFFECTIVE RANGE THEORY
ELEMENTARY PARTICLES
FIELD THEORIES
HADRONS
INTERACTIONS
LEPTONIC DECAY
MAGNETIC MOMENTS
MESONS
PARTICLE DECAY
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
POSTULATED PARTICLES
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK-ANTIQUARK INTERACTIONS
QUARKS
SPIN
WEAK INTERACTIONS
WEAK PARTICLE DECAY