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Title: Scaling and prescaling in quarkonium

Abstract

Recent experiments in the upsilon region prompt us to indicate the quark mass dependence of quark-antiquark bound state properties. Classes of quark-antiquark potentials exhibiting scaling of energy level spacing with quark mass are presented, and the importance of mass dependence of bound state properties in investigating the nature of the potential is emphasized. The scaling potentials considered are V = V(m/sup 1/2/ r), which exhibits constant level spacing, and V = bm/sup ..cap alpha../r/sup ..beta../, and its generalizations, which has scaling of energy levels controlled by the exponents ..cap alpha.. and ..beta... The class of potentials yielding constant level spacing is shown to be consistent with the interpretation of the state recently observed at 9.46 GeV in e/sup +/e/sup -/ annihilations as a bound state of a new quark and antiquark.

Authors:
;
Publication Date:
Research Org.:
Univ. of Melbourne, Victoria, Australia
OSTI Identifier:
6791083
Alternate Identifier(s):
OSTI ID: 6791083
Resource Type:
Journal Article
Journal Name:
Hadronic J.; (United States)
Additional Journal Information:
Journal Volume: 2:1
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUARKONIUM; SCALING LAWS; ELECTRON-POSITRON INTERACTIONS; ENERGY LEVELS; FLAVOR MODEL; HADRONIC PARTICLE DECAY; LEPTONIC DECAY; LEVEL WIDTHS; MASS SPECTRA; POTENTIALS; QUARK-ANTIQUARK INTERACTIONS; UPSILON RESONANCES; BASIC INTERACTIONS; BOSONS; COMPOSITE MODELS; DECAY; ELEMENTARY PARTICLES; HADRONS; INTERACTIONS; LEPTON-LEPTON INTERACTIONS; MATHEMATICAL MODELS; MESON RESONANCES; MESONS; PARTICLE DECAY; PARTICLE INTERACTIONS; PARTICLE MODELS; QUARK MODEL; RESONANCE PARTICLES; SPECTRA; WEAK INTERACTIONS; WEAK PARTICLE DECAY 645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory

Citation Formats

Warner, R.C., and Joshi, G.C. Scaling and prescaling in quarkonium. United States: N. p., 1979. Web.
Warner, R.C., & Joshi, G.C. Scaling and prescaling in quarkonium. United States.
Warner, R.C., and Joshi, G.C. Thu . "Scaling and prescaling in quarkonium". United States.
@article{osti_6791083,
title = {Scaling and prescaling in quarkonium},
author = {Warner, R.C. and Joshi, G.C.},
abstractNote = {Recent experiments in the upsilon region prompt us to indicate the quark mass dependence of quark-antiquark bound state properties. Classes of quark-antiquark potentials exhibiting scaling of energy level spacing with quark mass are presented, and the importance of mass dependence of bound state properties in investigating the nature of the potential is emphasized. The scaling potentials considered are V = V(m/sup 1/2/ r), which exhibits constant level spacing, and V = bm/sup ..cap alpha../r/sup ..beta../, and its generalizations, which has scaling of energy levels controlled by the exponents ..cap alpha.. and ..beta... The class of potentials yielding constant level spacing is shown to be consistent with the interpretation of the state recently observed at 9.46 GeV in e/sup +/e/sup -/ annihilations as a bound state of a new quark and antiquark.},
doi = {},
journal = {Hadronic J.; (United States)},
number = ,
volume = 2:1,
place = {United States},
year = {1979},
month = {2}
}