The $K\bar{K}\pi$ decay of the $f_1(1285)$ and its nature as a $K^{\ast }\bar{K}-cc$ molecule

Abstract

We investigate the decay of $f_1(1285)\to \pi K\bar{K}$ with the assumption that the $f_1(1285)$ is dynamically generated from the $K^{\ast }\bar{K}-cc$ interaction. In addition to the tree level diagrams that proceed via $f_1(1285)\to K^{\ast }\bar{K}-cc\to \pi K\bar{K}$, we take into account also the final state interactions of $K\bar{K}\to K\bar{K}$ and $\pi K\to \pi K$. The partial decay width and mass distributions of $f_1(1285)\to \pi K\bar{K}$ are evaluated. We get a value for the partial decay width which, within errors, is in fair agreement with the experimental result. The contribution from the tree level diagrams is dominant, but the final state interactions have effects in the mass distributions. The predicted mass distributions are significantly different from phase space and tied to the $K^{\ast }\bar{K}-cc$ nature of the $f_1(1285)$ state.

Published version

References in corpus (20)

• Big-Bang Nucleosynthesis
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Constituent quark model study of the meson spectra
• Dynamically Generated Open and Hidden Charm Meson Systems
• A low-lying scalar meson nonet in a unitarized meson model
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Dynamically generated 1^+ heavy mesons
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Axial Resonances in the Open and Hidden Charm Sectors
• $B^0$ and $B_s^0$ decays into $J/\psi$ $f_0(980)$ and $J/\psi$ $f_0(500)$ and the nature of the scalar resonances
• D* K molecular structure of the Ds1(2460) meson
• Analysis of the resonant components in B0->J/ψpi+pi-
• $f_1(1285)$ decays into $a_0(980){\pi }^0$, $f_0(980){\pi }^0$ and isospin breaking
• Isospin breaking decay $\eta (1405)\to f_0(980){\pi }^0\to 3\pi$
• Ds0*(2317) and Ds1(2460) mesons in two-body B-meson decays
• Pseudocalar meson and vector meson interactions and dynamically generated axial-vector mesons
• Low-lying even parity meson resonances and spin-flavor symmetry
• Light axial vector mesons
• $B^0$ and $B_s^0$ decays into $J/\psi$ plus a scalar or vector meson
• Observation of the isospin-violating decay $J/\psi \to \varphi {\pi }^0{f}_0(980)$

Cited by in corpus (19)

• Revising the $f_1(1420)$ resonance
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• Comprehensive study of light axial vector mesons with the presence of triangle singularity
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• 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
• Radiative decays of $f_1(1285)$ as the $K^{\ast }\bar{K}$ molecular state
• The $K^{-}p\to f_1(1285)\Lambda$ reaction within an effective Lagrangian approach
• The three-pion decays of the $a_1(1260)$
• On the absorption and production cross sections of $K$ and $K^{\ast }$
• The vertex corrections due to the triangle singularity mechanism in the light axial vector meson couplings to $K^{\ast }\bar{K}+c.c.$
• The $\pi f_0(500)$ decay of the $a_1(1260)$
• Exclusive $f_1(1285)$ meson production for energy ranges available at the GSI-FAIR with HADES and PANDA
• Role of the $f_1(1285)$ state in the $J/\psi \to \varphi \bar{K}{K}^{\ast }$ and $J/\psi \to \varphi f_1(1285)$ decays
• Measurement of f${}_1$(1285) production in pp collisions at $\sqrt{\text{s}}$ = 13 TeV
• Testing the origin of the "$f_1(1420)$" with the $\bar{K}p\to \Lambda (\Sigma )K\bar{K}\pi$ reaction
• Theoretical study in the ${\bar{B}}^0\to J/\psi {\bar{K}}^{\ast 0}{K}^0$ and ${\bar{B}}^0\to J/\psi f_1(1285)$ decays
• Observation of $\psi (3686)\to \gamma \eta (1405)$ via $\eta (1405)\to f_0(980){\pi }^0$
• The dynamically generated $h_1$ state by the $K^{\ast }{\bar{K}}^{\ast }$ interaction and its $K_1(1270)\bar{K}$ and $b_1(1235)\pi$ decays
• Study of $f_1(1420)$ and $\eta (1405)$ in the decay $J/\psi \to \gamma {\pi }^0{\pi }^0{\pi }^0$