a0(980)–f0(980) mixing in χc1 decay

M Bayar; V. R. Debastiani

doi:10.1051/epjconf/201919904009

EPJ

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Proceedings

Open Access

EPJ Web of Conferences 199, 04009 (2019)
https://doi.org/10.1051/epjconf/201919904009

a₀(980)–f₀(980) mixing in χ_c₁ decay

M Bayar¹^* and V. R. Debastiani²

¹ Department of Physics, Kocaeli University 41380, Izmit, Turkey
² Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Aptdo. 22085, 46071 Valencia, Spain

^* e-mail: melahat.bayar@kocaeli.edu.tr

Published online: 1 February 2019

Abstract

We investigate the isospin breaking in the $χ_{c 1} \to π^{0} π^{+} π^{-}$ ${\chi _{c1}} \to {\pi ^0}{\pi ^ + }{\pi ^ - }$ and $χ_{c 1} \to π^{0} π^{0} η$ ${\chi _{c1}} \to {\pi ^0}{\pi ^0}\eta$ decays and its relation to the a₀(980) – f₀(980) mixing, which was measured by the BESIII Collaboration. The isospin violation is introduced through the use of different masses for the charged and neutral kaons, either in the propagators of pairs of mesons created in the χ_c₁ decay, or in the propagators inside the T matrix. We find that the most important effect in the total amplitude is the isospin breaking inside the T matrix which is essential to get a good agreement with the experimental measurement of the mixing.

© The Authors, published by EDP Sciences, 2019

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.