${\chi }_{c1}$ decays into a pseudoscalar meson and a vector-vector molecule

Abstract

We evaluate ratios of the ${\chi }_{c1}$ decay rates to $\eta$ (${\eta }^{\prime },K^{-}$) and one of the $f_0(1370)$, $f_0(1710)$, $f_2(1270)$, $f_2^{\prime }(1525)$, $K_2^{\ast }(1430)$ resonances, which in the local hidden gauge approach are dynamically generated from the vector-vector interaction. With the simple assumption that the ${\chi }_{c1}$ is a singlet of SU(3), and the input from the study of these resonances as vector-vector molecular states, we describe the experimental ratio $\mathcal{B}({\chi }_{c1}\to \eta f_2(1270))/\mathcal{B}({\chi }_{c1}\to {\eta }^{\prime }{f}_2^{\prime }(1525))$ and make predictions for six more ratios that can be tested in future experiments.

12 pages, 2 figures, 1 table

References in corpus (8)

• Vector meson-vector meson interaction in a hidden gauge unitary approach
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• Amplitude analysis of the ${\chi }_{c1}\to \eta {\pi }^{+}{\pi }^{-}$ decays
• Improved Analysis of J/psi Decays into a Vector Meson and Two Pseudoscalars
• $f_0(500)$, $f_0(980)$ and $a_0(980)$ production in the ${\chi }_{c1}\to \eta {\pi }^{+}{\pi }^{-}$ reaction
• Predictions for ${\eta }_c\to \eta {\pi }^{+}{\pi }^{-}$ producing $f_0(500)$, $f_0(980)$ and $a_0(980)$
• Theoretical description of the $\mathbf{J}/\mathbf{\psi }\to \mathbf{\eta }({\mathbf{\eta }}^{\prime }){\mathbf{h}}_1(1380)$, $\mathbf{J}/\mathbf{\psi }\to \mathbf{\eta }({\mathbf{\eta }}^{\prime }){\mathbf{h}}_1(1170)$ and $\mathbf{J}/\mathbf{\psi }\to {\mathbf{\pi }}^0{\mathbf{b}}_1(1235{)}^0$ reactions