The scalar exotic resonances X(3915), X(3960), X(4140)

Abstract

The scalar resonances $X(3915),X(3960),X(4140)$ are considered as exotic four-quark states: $cq\bar{c}\bar{q},cs\bar{c}\bar{s},cs\bar{c}\bar{s}$, while the $X(3863)$ is proved to be the $c\bar{c},2{}^3{P}_0$ state. The masses and the widths of these resonances are calculated in the framework of the Extended Recoupling Model, where a four-quark system is formed inside the bag and has relatively small size ($\la 1.0$~fm). Then the resonance $X(3915)$ appears due to the transitions: $J/\psi \omega$ into $D^{\ast +}{D}^{\ast -}$ (or $D^{\ast 0}{\bar{D}}^{\ast 0})$ and back, while the $X(3960)$ is created due to the transitions $D_s^{+}{D}_s^{-}$ into $J/\psi \varphi$ and back, and the $X(4140)$ is formed in the transitions $J/\psi \varphi$ into $D_s^{\ast +}{D}_s^{\ast -}$ and back. The characteristic feature of the recoupling mechanism is that this type of resonances can be predominantly in the $S$-wave decay channels and has $J^P=0^{+}$. In two-channel case the resonance occurs to be just near the lower threshold, while due to coupling to third channel (like the $c\bar{c}$ channel) it is shifted up and lies by (20--30)~MeV above the lower threshold. The following masses and widths are calculated: $M(X(3915))=3920$~MeV, $\Gamma (X(3915))=20$~MeV; $M(X(3960))=3970$~MeV, $\Gamma (X(3960)=45(5)$~MeV, $M(X(4140))=4120(20)$~MeV, $\Gamma (X(4140))=100$~MeV, which are in good agreement with experiment.

arXiv comment16 pages

References in corpus (23)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Higher Charmonia
• Spectroscopy and Regge trajectories of heavy quarkonia and B_c mesons
• New states above charm threshold
• Excited heavy tetraquarks with hidden charm
• Coupled-Channel and Screening Effects in Charmonium Spectrum
• Dynamical origin and the pole structure of X(3872)
• ${\chi }_{c0}^{}(3915)$ As the Lightest $c\bar{c}s\bar{s}$ State
• Hadron interaction with heavy quarkonia
• The Born-Oppenheimer approximation in an effective field theory language
• Light meson radial Regge trajectories
• Universal description of radially excited heavy and light vector mesons
• $X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners
• Channel coupling in heavy quarkonia: energy levels, mixing, widths and new states
• Charmonium resonances in the 3.9 GeV/$c^2$ energy region and the $X(3915)/X(3930)$ puzzle
• Canonical description of the new LHCb resonances
• Mass spectra for $qc\bar{q}\bar{c}$, $sc\bar{s}\bar{c}$, $qb\bar{q}\bar{b}$, $sb\bar{s}\bar{b}$ tetraquark states with $J^{PC}=0^{++}$ and $2^{++}$
• $X(3915)$ as a $D_s{\bar{D}}_s$ bound state
• Radial and orbital Regge trajectories in heavy quarkonia
• Where are $3P$ and higher $P-$wave states in the charmonium family?
• Recoupling Mechanism for exotic mesons and baryons
• Quark structure of the $X(4500)$, $X(4700)$ and ${\chi }_{\mathrm{c}}(4P,5P)$ states

Cited by in corpus (3)

• On the nature of X(3960)
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• The ground states of hidden-charm tetraquarks and their radial excitations