The anomalous decay $f_1(1285)\to \rho \gamma$ and related processes

Abstract

We work out the low-energy expansion of the anomalous $f_1(1285)\to \rho \gamma$ decay amplitude by using the Nambu--Jona-Lasinio model with $U(2)\times U(2)$ chiral symmetric four-quark interactions in the one-quark-loop approximation. The related processes $f_1(1285)\to \omega \gamma$, $a_1(1260)\to \omega \gamma$, and $a_1(1260)\to \rho \gamma$, are also considered. An effective meson Lagrangian responsible for $f_1\rho \gamma$, $f_1\omega \gamma$, $a_1\rho \gamma$ and $a_1\omega \gamma$ interactions is found. The predicted radiative decay widths, $Γ_{f_1\toρ^0γ}=311\ \mbox{keV}$, $Γ_{f_1\toωγ}=34.3\ \mbox{keV}$, $Γ_{a_1\toρ^0γ}=26.8\ \mbox{keV}$, $Γ_{a_1\toωγ}=238\ \mbox{keV}$, allow an experimental test of the hypothesis that $f_1(1285)$ and $a_1(1260)$-mesons have a quark-antiquark nature. At present, only the $f_1(1285)\to \rho \gamma$ decay has been measured. Our result is in remarkably good agreement with the recent data of CLAS Collaboration $Γ_{f_1\toρ^0γ}=453\pm 177\ \mbox{keV}$, but disagrees with the PDG-based estimate of $Γ_{f_1\toρ^0γ}=1326\pm 313\ \mbox{keV}$. The calculations presented require a minimum of theoretical input, and are shown to be consistent with the non-renormalization theorems of QCD.

7 pages, 1 figure, appear in Physical Review D

References in corpus (3)

• Photoproduction of the $f_1(1285)$ Meson
• Exclusive photoproduction of $f_1(1285)$ meson off proton in the JLab kinematics
• Analysis of recent CLAS data on $f_1(1285)$ photoproduction

Cited by in corpus (14)

• The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen
• Central exclusive diffractive production of axial-vector $f_1(1285)$ and $f_1(1420)$ mesons in proton-proton collisions
• $f_1(1285)\to e^{+}{e}^{-}$ decay and direct $f_1$ production in $e^{+}{e}^{-}$ collisions
• Radiative decays of $f_1(1285)$ as the $K^{\ast }\bar{K}$ molecular state
• $\tau \to f_1(1285){\pi }^{-}{\nu }_{\tau }$ decay in the extended Nambu -- Jona-Lasinio model
• The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model
• Production of axial-vector mesons at $e^{+}{e}^{-}$ collisions with double-tagging as a way to constrain the axial meson LbL contribution to muon g-2 and/or hyperfine splitting of muonic hydrogen
• Exclusive $f_1(1285)$ meson production for energy ranges available at the GSI-FAIR with HADES and PANDA
• Fate of the Landau-Yang theorem for twisted photons
• Measurement of f${}_1$(1285) production in pp collisions at $\sqrt{\text{s}}$ = 13 TeV
• Decay rates $f_1(1285)\to {\rho }^0{\pi }^{+}{\pi }^{-}$ and $a_1(1260)\to \omega {\pi }^{+}{\pi }^{-}$ in the Nambu -- Jona-Lasinio model
• Anomalous decay $f_1(1285)\to {\pi }^{+}{\pi }^{-}\gamma$ in the Nambu - Jona-Lasinio model
• Photoproductions of $f_1(1285)$ and ${\eta }^{\prime }(958)$ from the analysis of CLAS data with the Primakoff effect at high energies
• The contribution of pseudoscalar and axial-vector mesons to hyperfine structure of muonic hydrogen