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Decays $f_{1} \to a_{0} π, π π π (η)$ and $f_{1} \to K K π$ in the chiral $U (3) \times U (3)$ quark NJL model

M. K. Volkov ^1,*, A. A. Pivovarov ^1,†, and K. Nurlan ^1,2,‡

¹Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, Russia
²The Institute of Nuclear Physics, Almaty 050032, Kazakhstan

^*Contact author: volkov@theor.jinr.ru
^†Contact author: pivovarov@theor.jinr.ru
^‡Contact author: nurlan@theor.jinr.ru

Phys. Rev. D 112, 036019 – Published 27 August, 2025

DOI: https://doi.org/10.1103/gtl6-vwsq

Abstract

The branching fractions of the axial vector meson decays $f_{1} \to a_{0} π, π π η$ , $f_{1} \to ρ π, π π π$ , and $f_{1} \to K K π$ are calculated in the standard $U (3) \times U (3)$ quark Nambu–Jona-Lasinio model. The intermediate channels with the states $a_{0} (980) π$ and $f_{0} (500) η$ are taken into account in the decay $f_{1} \to π π η$ . In the case of the scalar mesons, the $\bar{q} q$ representation as a chiral symmetric partners of the pseudoscalar mesons is used. It is shown that the decays $f_{1} \to ρ π$ and $f_{1} \to 3 π$ occur due to the mass difference of the $u$ and $d$ quarks. All the results are obtained without using any additional arbitrary parameters and are in satisfactory agreement with the known experimental data.

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Phys. Rev. D 112, 036019– Published 27 August, 2025

Vol. 112, Iss. 3 — 1 August 2025

Received 8 June 2025
Accepted 4 August 2025

DOI: https://doi.org/10.1103/gtl6-vwsq

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

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Decays $f_{1} \to a_{0} π, π π π (η)$ and $f_{1} \to K K π$ in the chiral $U (3) \times U (3)$ quark NJL model

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Decays f1→a0π,πππ(η) and f1→KKπ in the chiral U(3)×U(3) quark NJL model

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References (48)

Decays $f_{1} \to a_{0} π, π π π (η)$ and $f_{1} \to K K π$ in the chiral $U (3) \times U (3)$ quark NJL model