English

$1/N_c$ approximation and universality of vector mesons

High Energy Physics - Phenomenology 2021-08-23 v2

Abstract

In this work, we argue that the observed differences in the value of the vector coupling constant extracted from the decays ρππ\rho\to \pi\pi (gρ=6.0g_{\rho} = 6.0), ρl+l\rho\to l^+l^- (gρ=5.0g_{\rho} = 5.0 ) and ωl+l\omega\to l^+ l^- (gρ=5.7g_{\rho} = 5.7), where l=e,μl=e,\mu , are an indication of the important role played by the 1/Nc1/N_c corrections in the description of these processes. We show that an emission of a photon by charged meson loops in the ρ0,ω,ϕγ\rho^0, \omega,\phi\to\gamma transitions is a key process that allows to describe above vector meson decays into two leptons with a single value gρ=6.0g_\rho = 6.0. Our result supports the idea of universality of neutral vector mesons and clarifies the role of accounting of 1/Nc1/N_c corrections to its fulfilment.

Keywords

Cite

@article{arxiv.2105.02160,
  title  = {$1/N_c$ approximation and universality of vector mesons},
  author = {M. K. Volkov and A. A. Osipov and A. A. Pivovarov and K. Nurlan},
  journal= {arXiv preprint arXiv:2105.02160},
  year   = {2021}
}

Comments

9 pages, 2 figuras, the version accepted for publication in Physical Review D

R2 v1 2026-06-24T01:48:32.899Z