# 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:

- 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}

}