Canonical description of the new LHCb resonances

Abstract

The LHCb Collaboration has recently observed four $J/\psi \varphi$ structures called $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$ in the $B^{+}\to J/\psi \varphi K^{+}$ decays. We study them herein using a nonrelativistic constituent quark model in which the degrees of freedom are quark-antiquark and meson-meson components. The $X(4140)$ resonance appears as a cusp in the $J/\psi \varphi$ channel due to the near coincidence of the $D_s^{\pm }{D}_s^{\ast \pm }$ and $J/\psi \varphi$ mass thresholds. The remaining three $X(4274)$, $X(4500)$ and $X(4700)$ appear as conventional charmonium states with quantum numbers $3^3{P}_1$, $4^3{P}_0$ and $5^3{P}_0$, respectively; and whose masses and widths are slightly modified due to their coupling with the corresponding closest meson-meson thresholds. A particular feature of our quark model is a lattice-based screened linear confining interaction that has been constrained in the light quark sector and usually produces higher excited heavy-quark states with lower masses than standard quark model predictions.

7 pages, 8 tables, 2 figures

References in corpus (10)

• Constituent quark model study of the meson spectra
• Excited and exotic charmonium spectroscopy from lattice QCD
• Quark-model study of few-baryon systems
• Hadronic molecule structure of the Y(3940) and Y(4140)
• Hadron Loops: General Theorems and Application to Charmonium
• Possible Molecular States of $D_s^{\ast }{\bar{D}}_s^{\ast }$ System and Y(4140)
• Study of B{+-,0} --> J/ψ K+ K- K{+-,0} and search for B0 --> J/ψ ϕ at BABAR
• Analysis of the Y(4140) and related molecular states with QCD sum rules
• Tetraquark state candidates: $Y(4140)$, $Y(4274)$ and $X(4350)$
• Synchonisation of Resonances with Thresholds

Cited by in corpus (7)

• Pentaquark and Tetraquark states
• Doubly-heavy tetraquarks
• $X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• $QQ\bar{s}\bar{s}$ tetraquarks in the chiral quark model
• Investigation of $cs\bar{c}\bar{s}$ tetraquark in the chiral quark model
• Quark structure of the $X(4500)$, $X(4700)$ and ${\chi }_{\mathrm{c}}(4P,5P)$ states