$X$ structures in $B^{+}\to J/\psi \varphi K^{+}$ as one-loop and double-triangle threshold cusps

Abstract

The LHCb data on $B^{+}\to J/\psi \varphi K^{+}$ show four peaks and three dips in the $J/\psi \varphi$ invariant mass distribution, and the peaks are interpreted as $X(4140)$, $X(4274)$, $X(4500)$ and $X(4685)/X(4700)$ resonance contributions. Interestingly, all the peaks and dips are located at (or close to) $D_s^{\ast }{\bar{D}}_s^{(\ast )}$, $D_{s0}^{\ast }(2317){\bar{D}}_s^{(\ast )}$, $D_{s1}(2536){\bar{D}}_s^{(\ast )}$, and ${\psi }^{\prime }\varphi$ thresholds. These coincidences suggest a close connection between the structures and the thresholds, which however has not been seriously considered in previous theoretical studies on the $X$ structures. In fact, if we utilize this connection and interpret the $X$ structures as common $s$-wave threshold cusps, we face a difficulty: $X(4274)$ and $X(4500)$ have spin-parity that conflict with the experimentally determined ones. In this work, we introduce double triangle mechanisms that cause threshold cusps significantly sharper than the ordinary one-loop ones of the same spin-parity. We demonstrate that all the $X$ and dip structures are well described by a combination of one-loop and double-triangle threshold cusps, thereby proposing a novel interpretation of the $X$ and dip structures.

arXiv comment12 pages, 6 figures; (v2) title changed; calculations corrected and all figures updated; 1 figure added; (v3) published version, fitting parameter values corrected

References in corpus (60)

• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• Threshold cusps and triangle singularities in hadronic reactions
• Multiquark States
• Observation of $J/\psi \varphi$ structures consistent with exotic states from amplitude analysis of $B^{+}\to J/\psi \varphi K^{+}$ decays
• Interactions of Charmed Mesons with Light Pseudoscalar Mesons from Lattice QCD and Implications on the Nature of the D_{s0}^*(2317)
• Observation of new resonances decaying to $J/\psi K^{+}$ and $J/\psi \varphi$
• Understanding $D_{sJ}(2317)$
• Testing the Nature of the D_{sJ}^*(2317)^+ and D_{sJ}(2463)^+ States Using Radiative Transitions
• Observation of a peaking structure in the J/psi phi mass spectrum from B(+/-) to J/psi phi K(+/-) decays
• Amplitude analysis of $B^{+}\to J/\psi \varphi K^{+}$ decays
• Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum
• Charmonium spectrum and their electromagnetic transitions with higher multipole contributions
• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• Search for the X(4140) state in B+->J/psi phi K+ decays with the D0 detector
• Four-quark exotic mesons
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• Observation of the $Y(4140)$ structure in the $J/\psi \varphi$ Mass Spectrum in $B^{\pm }\to J/\psi \varphi K$ cays
• Can Y(4140) be a $c\bar{c}s\bar{s}$ tetraquark ?
• Heavy Quarkonium Hybrids: Spectrum, Decay and Mixing
• Search for the X(4140) state in B+ to J/psi phi K+ decays
• Molecular components in P-wave charmed-strange mesons
• A Study of the DsJ(2317) and DsJ(2460) Mesons in Inclusive ccbar Production Near sqrt(s) = 10.6 GeV
• Spectroscopy of the hidden-charm $[qc][\bar{q}\bar{c}]$ and $[sc][\bar{s}\bar{c}]$ tetraquarks
• Hidden charm octet tetraquarks from a diquark-antidiquark model
• The $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$ in the relativized quark model
• $X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners
• Interpretation of Axial Resonances in J/psi-phi at LHCb
• Understanding the internal structures of the $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$
• Canonical description of the new LHCb resonances
• Unitary coupled-channels model for three-mesons decays of heavy mesons
• Hidden charm tetraquark states in a diquark model
• Scalar tetraquark state candidates: $X(3915)$, $X(4500)$ and $X(4700)$
• Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states
• $P_c(4312{)}^{+}$, $P_c(4380{)}^{+}$, and $P_c(4457{)}^{+}$ as double triangle cusps
• Study of B{+-,0} --> J/ψ K+ K- K{+-,0} and search for B0 --> J/ψ ϕ at BABAR
• Cusps and Exotic Charmonia
• Strong decays of higher charmonium states into open-charm meson pairs
• Understanding spin parity of $P_c(4450)$ and $Y(4274)$ in a hadronic molecular state picture
• The strange partner of the $Z_c$ structures in a coupled-channels model
• Analysis of the mass and width of the $Y(4274)$ as axialvector molecule-like state
• Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state
• How to understand the underlying structures of $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$
• Exploring the resonances $X(4140)$ and $X(4274)$ through their decay channels
• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$
• Is $Z_{cs}(3982)$ a molecular partner of $Z_c(3900)$ and $Z_c(4020)$ states?
• Hidden charmed states and multibody color flux-tube dynamics
• Radial and orbital Regge trajectories in heavy quarkonia
• Reanalysis of the $X(3915)$, $X(4500)$ and $X(4700)$ with QCD sum rules
• Can the state $Y(4626)$ be a $P$-wave tetraquark state $[cs][\bar{c}\bar{s}]$?
• Where are ${\chi }_{cJ}(3P)$?
• Revisit the $X(4274)$ as the axialvector tetraquark state
• Triangle singularity appearing as an $X(3872)$-like peak in $B\to (J/\psi {\pi }^{+}{\pi }^{-})K\pi$
• Investigation of $cs\bar{c}\bar{s}$ tetraquark in the chiral quark model
• Quark structure of the ${\chi }_{\mathrm{c}}(3P)$ and $X(4274)$ resonances and their strong and radiative decays
• Charmonium spectrum with a Dirac potential model in the momentum space
• Isospin violating decay $D_s^{\ast }\to D_s{\pi }^0$ in chiral perturbation theory
• Exploratory study of X(4140) in QCD sum rules
• Quark structure of the $X(4500)$, $X(4700)$ and ${\chi }_{\mathrm{c}}(4P,5P)$ states

Cited by in corpus (6)

• An updated review of the new hadron states
• Predicting isovector charmonium-like states from X(3872) properties
• $X$ and $Z_{cs}$ in $B^{+}\to J/\psi \varphi K^{+}$ as $s$-wave threshold cusps and alternative spin-parity assignments to $X(4274)$ and $X(4500)$
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Production of $X_{cs\bar{c}\bar{s}}$ in heavy ion collisions
• Decoding the near-threshold $X_{0,1}(4140)$ and $X_1(4685)$ states via OZI-suppressed coupled-channel scattering