From light to heavy quarkonia: An integrated Bethe-Salpeter view

Journal Article · Mon Jul 21 04:00:00 EDT 1986 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.57.290· OSTI ID:5380475

Mittal, A; Mitra, A N

A modification in the (harmonic) kernel of a QCD-oriented Bethe-Salpeter equation known for good fits to q-italicq-bar and q-italicq-italicq-italic spectroscopy gives a comprehensive description of q-italicq-bar, Q-italicq-bar, and Q-italicQ-bar systems. The new assumptions are (i) proportionality of the ''reduced'' spring constant omega-tilde/sup 2/ to ..cap alpha../sub s-italic/ (omega-tilde/sup 2/ = ..omega../sub 0//sup 2/..cap alpha../sub s/) and (ii) the replacement r-italic/sup 2/..-->..r/sup 2//(1+A/sub 0/m/sub 1/m/sub 2/r/sup 2/ )/sup 1/2/-c/sub 0//..omega../sub 0//sup 2/. These provide a more direct QCD motivation for confinement and effect a smooth transition from harmonic (q-italicq-bar) to linear (Q-italicQ-bar) confinement.

• Research Organization: Department of Physics, University of Delhi, Delhi-7, India
• OSTI ID: 5380475
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 57:3; ISSN PRLTA
• Country of Publication: United States
• Language: English

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645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
COMPOSITE MODELS
COULOMB FIELD
ELECTRIC FIELDS
EQUATIONS
FIELD THEORIES
FLAVOR MODEL
LIE GROUPS
MASS SPECTRA
MATHEMATICAL MODELS
MATRIX ELEMENTS
PARTICLE MODELS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKONIUM
SO GROUPS
SPECTRA
SPECTROSCOPY
SYMMETRY GROUPS