Hadron Spectroscopy and decay matrix elements in quenched lattice QCD

Miscellaneous · Fri Jan 01 00:00:00 EST 1988

OSTI ID:6829374

Loft, R D

The lowest lying hadronic masses were calculated in the quenched approximation of lattice QCD, using Wilson fermions on a 11{sup 3} {times} 20 lattice. The data set consisted of 20 pure SU(3) gauge configurations generated by Monte Carlo simulation, which are used as background fields for computing the quark propagators. The states considered included all possible combinations of the up, strange and charmed quarks. The lightest state masses were found to be: {rho} 645(100)MeV, nucleon 1091 (158) MeV, and {Delta}{sup ++} 1196 (190) MeV. The suppression of the vector-pseudoscalar meson splittings in our study could be explained by an overall scale factor suppression of the color hyperfine parameter {omicron}{sub m}. The wave function at the origin was studied from the vector meson data, and was shown to reproduce the phenomenological Van Royan-Weisskopf scaling law, that {vert bar}{psi}(0){vert bar}{sup 2} {approx} m{sub {upsilon}}{sup 1.85}. A similar scaling law for baryons wavefunctions was also observed, for which there is no experimental analog. All of the mass splitting suppression in baryons could be explained by heavier constituent quark masses on the lattice. The baryon masses were also observed to obey the Gell-Mann Okubo sum rules. The hadronic coupling constants for the vector meson strong decays V {yields} B {kappa}, were extracted from lattice three point correlation functions. The results were in good agreement with experiment for the K{asterisk}K{pi} coupling constant, and about 30% below the observed {rho}{pi}{pi} coupling.

• Research Organization: Colorado Univ., Boulder, CO (USA)
• OSTI ID: 6829374
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
HADRONIC PARTICLE DECAY
CALCULATION METHODS
COUPLING CONSTANTS
DATA ANALYSIS
FERMIONS
LATTICE PARAMETERS
MONTE CARLO METHOD
QUANTUM CHROMODYNAMICS
QUARKS
SCALING LAWS
THEORETICAL DATA
DATA
DECAY
ELEMENTARY PARTICLES
FIELD THEORIES
INFORMATION
NUMERICAL DATA
PARTICLE DECAY
POSTULATED PARTICLES
QUANTUM FIELD THEORY
645000* - High Energy Physics
645103 - High Energy Physics- Particle Interactions & Properties-Experimental- Strong Interactions & Baryon & Meson Properties