The $\bar{c}c$ purity of $\psi (3770)$ and ${\psi }^{\prime }$ challenged

Abstract

It is suggested that the resonance $\psi (3770)$ may contain a sizeable ($O(10$ in terms of the probability weight factor) four-quark component with the up- and down- quarks and antiquarks in addition to the $c\bar{c}$ pair, which component in itself has a substantial part with the isospin I=1. Furthermore such four-quark part of the wave function should also affect the properties of the ${\psi }^{\prime }$ charmonium resonance through the $\psi (3770)-{\psi }^{\prime }$ mixing previously considered in the literature. It is argued that an admixture of extra light quark pairs can explain a possible discrepancy between the theoretical expectations and the recent data on the non-$D\bar{D}$ decay width of the $\psi (3770)$ and the ratio of the yield of charged and neutral $D$ meson pairs in its decays, as well as on the extra rate of the ${\psi }^{\prime }$ direct decay into light hadrons and the rate of the decay ${\psi }^{\prime }\to {\pi }^{0}J/\psi$. It is further argued that the suggested four-quark component of the wave function of the $\psi (3770)$ should give rise to a measurable rate of the decays $\psi (3770)\to \eta J/\psi$ and $\psi (3770)\to {\pi }^{0}J/\psi$.

arXiv comment13 pages

References in corpus (11)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Charmless Final States and S--D-wave mixing in the ${\psi }^{\prime \prime }$
• Heavy quark spin selection rule and the properties of the X(3872)
• Measurement of branching fractions for exclusive B decays to charmonium final states
• Measurement of the Relative Branching Fraction of ${\rm Y}(4S)$ to Charged and Neutral B-Meson Pairs
• Measurement of the B^+/B^0 Production Ratio from the Upsilon(4S) Meson using B^+ -> J/psi K^+ and B^0 -> J/psi K^{0}_{S} Decays
• Studies of B0-B0bar Mixing Properties with Inclusive Dilepton Events
• Measurement of the Muonic Branching Fractions of the Narrow Upsilon Resonances
• Measurement of the Ratio of Branching Fractions of the Upsilon(4S) to Charged and Neutral B Mesons
• The enhancement of the decay Upsilon(1D) -> eta Upsilon(1S) by the axial anomaly in QCD
• Relative yield of charged and neutral heavy meson pairs in e^+ e^- annihilation near threshold

Cited by in corpus (19)

• Heavy quarkonium: progress, puzzles, and opportunities
• Charmonium
• Coupled-channel model for charmonium levels and an option for X(3872)
• Observation of psi(3770)--> pi pi J/psi and Measurement of Gamma_{ee}[psi(2S)]
• The puzzle of excessive non-$D\bar{D}$ component of the inclusive $\psi (3770)$ decay and the long-distant contribution
• Towards a dynamical understanding of the non-$D\bar{D}$ decay of $\psi (3770)$
• $X(3872)\to D\bar{D}\gamma$ decays and the structure of X(3872)
• Further understanding of the non-$D\bar{D}$ decays of $\psi (3770)$
• Study of $Λ- \Lambdabar$ Oscillation in quantum coherent $Λ\Lambdabar$ state by using J/ψ\to Λ\barΛ$ decay
• D^0-D^0bar mixing in Υ(1S) \to D^0 D^0bar decay at Super-B
• Hadronic transitions from Upsilon(4S) as a probe of four-quark admixture
• Isospin violating decay of $\psi (3770)\to J/\psi +{\pi }^0$
• Puzzles in charmonium decays
• Clean Prediction of \CP violating processes $\psi$, $\varphi$ and ${\rm Y}(1S)$ decay to KsKs and KLKL
• Complete analytical solution to the Cornell potential and heavy quarkonium structure
• Study of $\psi (3770)$ decaying to Baryon anti-Baryon Pairs
• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$
• Measurements of charmonia decays from BESIII
• Dissociation cross sections of $\psi (3770)$, $\psi (4040)$, $\psi (4160)$, and $\psi (4415)$ mesons with nucleons