Using $X(3823)\to J/\psi {\pi }^{+}{\pi }^{-}$ to identify coupled-channel effects

Abstract

Very recently, the Belle and BESIII experiments observed a new charmonium-like state $X(3823)$, which is a good candidate for the $D$-wave charmonium $\psi (1^3{D}_2)$. Because the $X(3823)$ is just near the $D{\bar{D}}^{\ast }$ threshold, the decay $X(3823)\to J/\psi {\pi }^{+}{\pi }^{-}$ can be a golden channel to test the significance of coupled-channel effects. In this work, this decay is considered including both the hidden-charm dipion and the usual quantum chromodynamics multipole expansion (QCDME) contributions. The partial decay width, the dipion invariant mass spectrum distribution $\mathrm{d}\Gamma [X(3823)\to J/\psi {\pi }^{+}{\pi }^{-}]/\mathrm{d}{m}_{{\pi }^{+}{\pi }^{-}}$, and the corresponding $\mathrm{d}\Gamma [X(3823)\to J/\psi {\pi }^{+}{\pi }^{-}]/\mathrm{d}\cos \theta$ distribution are computed. Many parameters are determined from existing experimental data, so the results depend mainly only on one unknown phase between the QCDME and hidden-charm dipion amplitudes.

8 pages, 1 table, 5 figures. Accepted by Frontiers of Physics

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Cited by in corpus (15)

• Study of the ${\psi }_2(3823)$ and ${\chi }_{c1}(3872)$ states in $B^{+}\to \left(J\psi {\pi }^{+}{\pi }^{-}\right)K^{+}$ decays
• Hidden Charm Pentaquark $P_c(4380)$ and Doubly Charmed Baryon ${\Xi }_{cc}^{\ast }(4380)$ as Hadronic Molecule States
• Spectroscopic survey of higher-lying states of $B_c$ meson family
• Confirming the existence of a new higher charmonium $\psi (4500)$ by the newly released data of $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Understanding $B^{-}\to X(3823)K^{-}$ via rescattering mechanism and predicting $B^{-}\to {\eta }_{c2}{(}^1{D}_2)/{\psi }_3{(}^3{D}_3)K^{-}$
• Potential observation of the ${\rm Y}(6S)\to {\rm Y}(1^3{D}_J)\eta$ transitions at Belle II
• Search for new decay modes of the ${\psi }_2(3823)$ and the process $e^{+}{e}^{-}\to {\pi }^0{\pi }^0{\psi }_2(3823)$
• How higher charmonia shape the puzzling data of the $e^{+}{e}^{-}\to \eta J/\psi$ cross section
• The electromagnetic decays of $X(3823)$ as the ${\psi }_2(1^3{D}_2)$ state and its radial excited states
• Higher strangeonium decays into light flavor baryon pairs like $\Lambda \bar{\Lambda }$, $\Sigma \bar{\Sigma }$, and $\Xi \bar{\Xi }$
• Predictions of ${\rm Y}(4S)\to h_b(1P,2P){\pi }^{+}{\pi }^{-}$ transitions
• Strong decays of the isovector-scalar $D^{\ast }{\bar{D}}^{\ast }$ hadronic molecule
• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$
• Role of the short-range dynamics in simultaneous interpretation of $P_{cs}$ pentaqurks via ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecules
• $D{\bar{D}}^{\ast }$-$\pi J/\psi$ scatterings of coupled channels for $Z_c(3900)$ channel