skip to main content

SciTech ConnectSciTech Connect

Title: Mass spectrum of vector mesons and their leptonic-decay constants in the bilocal relativistic potential model

A phenomenological model is developed in terms of bilocal meson fields in order to describe a vector meson and its leptonic decays. A new Salpeter equation for this particle and the Schwinger-Dyson equation allowing for the presence of an arbitrary potential and for a modification associated with the renormalization of the quark (antiquark ) wave function within the meson are given. An expression for the constant of the leptonic decay of the charged rho meson is obtained from an analysis of the decay process τ → ρν via parametrizing in it the hadronization of intermediate charged weak W bosons into a bilocal vector meson. The potential is chosen in the form of the sum of harmonic-oscillator and Coulomb potentials, and the respective boundary-value problem is formulated. It is shown that the solutions to this problem describe both the mass spectrum of vector mesons and their leptonic-decay constants.
Authors:
;  [1]
  1. Uzbek Academy of Sciences, Institute of Nuclear Physics (Uzbekistan)
Publication Date:
OSTI Identifier:
22472457
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 78; Journal Issue: 1; Other Information: Copyright (c) 2015 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUNDARY-VALUE PROBLEMS; COULOMB FIELD; HARMONIC OSCILLATORS; LEPTONIC DECAY; MASS SPECTRA; QUARK-ANTIQUARK INTERACTIONS; RELATIVISTIC RANGE; RENORMALIZATION; RHO-770 MESONS; SCHWINGER FUNCTIONAL EQUATIONS; W MINUS BOSONS; W PLUS BOSONS; WAVE FUNCTIONS