Bethe-Salpeter qq-bar dynamics under harmonic confinement

Journal Article · Wed Dec 01 04:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.26.3123· OSTI ID:6522675

Mitra, A N; Kulshreshtha, D S

A Bethe-Salpeter (BS) treatment of qq-bar proposed recently for equal-mass quarks in the instantaneous approximation is extended to unequal masses. An explicit mass formula is obtained in the dimensionless form F(M) = N+const, where F(M), a nonlinear function of M, represents a central supermultiplet (mass)/sup 2/ for each N excitation, formally corrected for spin and flavor variations among members. These universality features of F(M) are borne out by the data to a significant extent up to the charmed sector, in terms of a single reduced spring constant omega-tilde ( = 0.15 GeV) and the quark masses (m/sub q/). A fully covariant and transparent construction is found for the Bethe-Salpeter wave functions for P, V, and A/sub 1/ mesons consistent with their equations of motion and satisfying the BS normalization without the need for a conventional decomposition into ( +- +- ) components. Tests of these wave functions are offered through the predictions of (a) P,V..-->..ll-bar and tau..-->..(..pi..,rho,A/sub 1/)..nu../sub tau/ decays, (b) electromagnetic radii of P mesons, and (c) weak form factor in K/sub l/3 decay, all in excellent agreement with experiment, without extra parameters.

• Research Organization: Department of Physics, University of Delhi, Delhi-110007, India
• OSTI ID: 6522675
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:11; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BETHE-SALPETER EQUATION
EQUATIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
INTERACTIONS
MASS FORMULAE
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PERTURBATION THEORY
QUARK-ANTIQUARK INTERACTIONS
RELATIVITY THEORY
SPIN
WAVE FUNCTIONS