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

Journal Article · Mon Nov 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.094020· OSTI ID:21513053

Crater, Horace W; Schiermeyer, James ^[1]

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1. University of Tennessee Space Institute B. H. Goethert Parkway, Tullahoma, Tennessee 37388 (United States)

In a previous paper, Crater and Van Alstine applied the two-body Dirac equations of constraint dynamics to quark-antiquark bound states using a relativistic extention of the Adler-Piran potential and compared their spectral results to those from other approaches which also considered meson spectroscopy as a whole and not in parts. In this paper, we explore in more detail the differences and similarities in an important subset of those approaches, the quasipotential approach. In the earlier paper, the transformation properties of the quark-antiquark potentials were limited to a scalar and an electromagnetic-like four-vector, with the former accounting for the confining aspects of the overall potential, and the latter the short range portion. The static Adler-Piran potential was first given an invariant form and then apportioned between those two different types of potentials. Here, we make a change in this apportionment that leads to a substantial improvement in the resultant spectroscopy by including a timelike confining vector potential over and above the scalar confining one and the electromagnetic-like vector potential. Our fit includes 19 more mesons than the earlier results and we modify the scalar portion of the potential in such a way that allows this formalism to account for the isoscalar mesons {eta} and {eta}{sup '} not included in the previous work. Continuing the comparisons of formalisms and spectral results made in the previous paper with other approaches to meson spectroscopy, we examine in this paper the quasipotential approach of Ebert, Faustov, and Galkin.

• OSTI ID: 21513053
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 9; Other Information: DOI: 10.1103/PhysRevD.82.094020; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCOUNTING
COMPARATIVE EVALUATIONS
DIRAC EQUATION
MESON SPECTROSCOPY
MESONS
QUARK-ANTIQUARK INTERACTIONS
RELATIVISTIC RANGE
TRANSFORMATIONS
TWO-BODY PROBLEM
BOSONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
EVALUATION
FIELD EQUATIONS
HADRONS
INTERACTIONS
MANY-BODY PROBLEM
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
SPECTROSCOPY
WAVE EQUATIONS