$f_1(1285)$ decays into $a_0(980){\pi }^0$, $f_0(980){\pi }^0$ and isospin breaking

Abstract

We evaluate the decay width for the processes $f_1(1285)\to {\pi }^0{a}_0(980)$ and $f_1(1285)\to {\pi }^0{f}_0(980)$ taking into account that all three resonances are dynamically generated from the meson-meson interaction, the $f_1(1285)$ from $K^{\ast }\bar{K}-c.c$ and the $a_0(980)$, $f_0(980)$ from $\pi \eta ,K\bar{K}$ and $\pi \pi ,K\bar{K}$ respectively. We use a triangular mechanism similar to that of the $\eta (1405)\to \pi \pi \eta$, which provides a decay width for $f_1(1285)\to {\pi }^0{a}_0(980)$ with a branching fraction of the order of 30%, in agreement with experiment. At the same time we evaluate the decay width for the isospin forbidden $f_1(1285)\to {\pi }^0{f}_0(980)$, which appears when we consider different masses for the charged and neutral kaons, and show that it is much more suppressed than in the $\eta (1405)\to \pi \pi \eta$ case, but gives rise to a narrow shape of the ${\pi }^{+}{\pi }^{-}$ distribution similar to the one found in the $\eta (1405)\to \pi \pi \eta$ decay.

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• Dynamically generated 1^+ heavy mesons
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• Pseudocalar meson and vector meson interactions and dynamically generated axial-vector mesons
• Study a0(980)-f0(980) mixing from a0(980) -> f0(980) transition

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• Role of a triangle singularity in the $\gamma p\to K^{+}\Lambda (1405)$ reaction
• Revising the $f_1(1420)$ resonance
• Triangle singularity in the $J/\psi \to K^{+}{K}^{-}{f}_0(980)(a_0(980))$ decays
• Triangular singularity and a possible $\varphi p$ resonance in the ${\Lambda }_c^{+}\to {\pi }^0\varphi p$ decay
• Abnormal isospin violation and $a_0-f_0$ mixing in the $D_s^{+}\to {\pi }^{+}{\pi }^0{a}_0(980)(f_0(980))$ reactions
• $f_2(1810)$ as a triangle singularity
• Strong isospin symmetry breaking in light scalar meson production
• 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
• $a_0(980)-f_0(980)$ mixing in ${\chi }_{c1}\to {\pi }^0{f}_0(980)\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and ${\chi }_{c1}\to {\pi }^0{a}_0(980)\to {\pi }^0{\pi }^0\eta$
• On the two-body decay processes of the predicted three-body $K^{\ast }(4307)$ resonance