Further understanding of the non-$D\bar{D}$ decays of $\psi (3770)$

Abstract

We provide details of the study of $\psi (3770)$ non-$D\bar{D}$ decays into $VP$, where $V$ and $P$ denote light vector meson and pseudoscalar meson, respectively. We find that the electromagnetic (EM) interaction plays little role in these processes, while the strong interaction dominates. The strong interaction can be separated into two parts, i.e. the short-distance part probing the wave function at origin and the long-distance part reflecting the soft gluon exchanged dynamics. The long-distance part is thus described by the intermediate charmed meson loops. We show that the transition of $\psi (3770)\to VP$ can be related to $\psi (3686)\to VP$ such that the parameters in our model can be constrained by comparing the different parts in $\psi (3770)\to VP$ to those in $\psi (3686)\to VP$. Our quantitative results confirm the findings of [Zhang {\it et al.}, Phys. Rev. Lett. 102, 172001 (2009)] that the OZI-rule-evading long-distance strong interaction via the IML plays an important role in $\psi (3770)$ decays, and could be a key towards a full understanding of the mysterious $\psi (3770)$ non-$D\bar{D}$ decay mechanism.

11 pages, 4 figures, version to appear in Phys. Rev. D

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• Quarkonia and their transitions
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Cited by in corpus (20)

• Hadronic molecules
• Can the nature of $a_0(980)$ be tested in the $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decay?
• Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay
• Prediction of anomalous ${\rm Y}(5S)\to {\rm Y}(1^3{D}_J)\eta$ transitions
• Line-shape and poles of the $\psi (3770)$
• Exploring the ${\rm Y}(6S)\to {\chi }_{bJ}\varphi$ and ${\rm Y}(6S)\to {\chi }_{bJ}\omega$ hidden-bottom hadronic transitions
• Potential observation of the ${\rm Y}(6S)\to {\rm Y}(1^3{D}_J)\eta$ transitions at Belle II
• Understanding the cross section of $e^{+}{e}^{-}\to \eta J/\psi$ process via nonrelativistic QCD
• Proposal of searching for the ${\rm Y}(6S)$ hadronic decays into ${\rm Y}(nS)$ plus ${\eta }^{(\prime )}$
• Exploring the ${\rm Y}(4S,5S,6S)\to h_b(1P)\eta$ hidden-bottom hadronic transitions
• Radiative decays of $f_1(1285)$ as the $K^{\ast }\bar{K}$ molecular state
• Hidden-bottom hadronic transitions of ${\rm Y}(10753)$
• How higher charmonia shape the puzzling data of the $e^{+}{e}^{-}\to \eta J/\psi$ cross section
• Detecting the polarization in ${\chi }_{cJ}\to \varphi \varphi$ decays to probe hadronic loop effect
• Study on the radiative decays of $h_c$ via intermediate meson loops model
• Electronic width of the $\psi (3770)$ resonance interfering with the background
• Evasion of HSR in the charmless decays of excited $P$-wave charmonia
• Evidence for the decay $\psi (3770)\to K^{+}{K}^{-}$
• Measurements of charmonia decays from BESIII
• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$