skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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

Citation Formats

Ablakulov, Kh., E-mail: ablakulov@inp.uz, and Narzikulov, Z., E-mail: narzikulov@inp.uz. Mass spectrum of vector mesons and their leptonic-decay constants in the bilocal relativistic potential model. United States: N. p., 2015. Web. doi:10.1134/S1063778814120023.
Ablakulov, Kh., E-mail: ablakulov@inp.uz, & Narzikulov, Z., E-mail: narzikulov@inp.uz. Mass spectrum of vector mesons and their leptonic-decay constants in the bilocal relativistic potential model. United States. doi:10.1134/S1063778814120023.
Ablakulov, Kh., E-mail: ablakulov@inp.uz, and Narzikulov, Z., E-mail: narzikulov@inp.uz. Thu . "Mass spectrum of vector mesons and their leptonic-decay constants in the bilocal relativistic potential model". United States. doi:10.1134/S1063778814120023.
@article{osti_22472457,
title = {Mass spectrum of vector mesons and their leptonic-decay constants in the bilocal relativistic potential model},
author = {Ablakulov, Kh., E-mail: ablakulov@inp.uz and Narzikulov, Z., E-mail: narzikulov@inp.uz},
abstractNote = {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.},
doi = {10.1134/S1063778814120023},
journal = {Physics of Atomic Nuclei},
number = 1,
volume = 78,
place = {United States},
year = {Thu Jan 15 00:00:00 EST 2015},
month = {Thu Jan 15 00:00:00 EST 2015}
}