Comprehensive study of light axial vector mesons with the presence of triangle singularity

Abstract

We present a systematic study of the productions and decays of light axial vector mesons with $J^{PC}=1^{+\pm }$ in charmonium decays. In the quark model scenario, the two axial vector nonets are connected with each other by the Gell-Mann-Okubo mass relation through the mixing between two $K_1$ states (i.e. $K_1(1270)$ and $K_1(1400)$) with configurations of ${}^3{P}_1$ and ${}^1{P}_1$. The mixing angles between $f_1$ and $f_1^{\prime }$ (i.e. $f_1(1285)$ and $f_1(1420)$), and between $h_1$ and $h_1^{\prime }$ (i.e. $h_1(1170)$ and $h_1(1415)$) can be reliably constrained. We then introduce the intermediate $K^{\ast }\bar{K}+c.c.$ meson loop transitions in the description of the productions and decays of these axial vector mesons. The presence of the nearby $S$-wave $K^{\ast }\bar{K}+c.c.$ to which these axial vector mesons have strong coupling strengths, turns out to be crucial for understanding many puzzling questions related to their productions and decays. This is because that the $S$-wave $K^{\ast }\bar{K}+c.c.$ rescatterings by the kaon exchange satisfy the triangle singularity (TS) condition in some of these cases and the TS mechanism can introduce special interference effects in the exclusive decays of these light axial vector mesons.

arXiv commentRevtex, 26 pages, 17 figures

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• Effects of Final State Interactions on Landau Singularities
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• Studying triangle singularity through spin observables
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• Study of the axial-vector and tensor resonant contributions to the $D\to VP{\ell }^{+}{\nu }_{\ell }$ decays based on SU(3) flavor analysis
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• Hidden charm ${\mathcal{P}}_{cs}(4338{)}^0$ production in baryonic $B^{-}\to J/\psi \Lambda \bar{p}$ decay
• Charged pions asymmetry from the decay of light neutral axial mesons due to interference