Self-consistent low-energy meson mass spectrum

Journal Article · Thu Nov 01 04:00:00 EST 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.2331· OSTI ID:5753031

Balazs, L A.P.

In a typical hadron mass calculation the long-range (confining) part of the interaction between quarks (q) is assumed to be spin-independent. Any spin dependence is then attributed to short-range one-gluon exchange. This procedure tends to give an excessively small mass difference between pseudoscalar (P) and vector (V) mesons, at least if the quark-gluon coupling is fixed by other properties of the hadron spectrum. In the present paper we introduce an approach in which a large P-V mass difference arises naturally. A confining interaction does not have to be assumed a priori. The spectrum is generated by imposing duality on an infinite sum of ladder graphs without crossed quark lines; this ''planar bootstrap'' corresponds to the limit N/sub flavor/ ..-->.. infinity (in quantum chromodynamics we would have to take N/sub color/ ..-->.. infinity at the same time). By making a certain simple dynamical approximation we then derive an explicit infinitely rising exchange-degenerate leading Regge trajectory ..cap alpha.. (t) = S/sub 1/ + S/sub 2/ + L (..nu../sub a/) for any given equal-mass-channel hadron + hadron ..-->.. hadron + hadron process; S/sub 1/ and S/sub 2/ are external spins, L (..nu../sub a/) approx. = -0.5 + 2..cap alpha..'..nu../sub a/, and ..nu../sub a/ = s/sub a/ + (t - ..sigma..m/sub i/ /sup 2/)/2, where the m/sub i/ are the external masses and ..sqrt..s/sub a/ is the mass of an exchanged cluster a. By requiring the s/sub a/ to be as low as possible and imposing simultaneous consistency for complete sets of meson + meson ..-->.. meson + meson processes, we are able to calculate the entire natural- and unnatural-parity low-energy leading-trajectory qq-bar mass spectrum in terms of m/sub rho/ and m/sub K/* alone.

• Research Organization: Physics Department, Purdue University, West Lafayette, Indiana 47907
• OSTI ID: 5753031
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:9; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645205* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 0-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BAG MODEL
BETHE-SALPETER EQUATION
BOOTSTRAP MODEL
BOSONS
BOUNDARY CONDITIONS
COMPOSITE MODELS
DUALITY
ELEMENTARY PARTICLES
EQUATIONS
EXCHANGE DEGENERACY
EXTENDED PARTICLE MODEL
FIELD THEORIES
GLUONS
HADRONS
MASS DIFFERENCE
MASS SPECTRA
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
REGGE TRAJECTORIES
SPECTRA
SPIN
STRANGENESS