Spectroscopy of $cc\bar{c}\bar{c}$ and $ss\bar{c}\bar{c}$ Tetraquarks within the Framework of Regge Phenomenology

Abstract

In this work, we investigate the mass spectra of all-charm ($cc\bar{c}\bar{c}$) and doubly strange- doubly charm ($ss\bar{c}\bar{c}$) tetraquark states using the framework of Regge phenomenology. Employing a quasi-linear Regge trajectory ansatz, we derive linear and quadratic mass inequalities for hadrons, which provide constraints on the masses of tetraquark states. We estimate the range of ground state masses of $cc\bar{c}\bar{c}$ tetraquarks and determine the Regge slope parameters by fitting the corresponding $(J,M^2)$ trajectories. These parameters are then utilized to predict the mass spectra of orbital excited states of both $cc\bar{c}\bar{c}$ and $ss\bar{c}\bar{c}$ systems in the $(J,M^2)$ plane. Furthermore, we extend our analysis to radial excitations by exploring Regge trajectories in the $(n,M^2)$ plane. The obtained mass predictions are compared with existing theoretical results from various models. Additionally, we discuss the possible identification of the experimentally observed $\psi (4660)$ and ${\chi }_{c0}(4700)$ resonances as tetraquark candidates. The results presented in this study offer useful benchmarks for future experimental investigations and may assist in the spin-parity assignment of exotic hadronic states. Our findings contribute to a deeper understanding of multiquark dynamics and the spectroscopy of exotic hadrons within the framework of Quantum Chromodynamics.

References in corpus (69)

• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• The hidden-charm pentaquark and tetraquark states
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• A review of the open charm and open bottom systems
• Observation of structure in the $J/\psi$-pair mass spectrum
• Baryon spectroscopy
• Spectroscopy and Regge trajectories of heavy baryons in the relativistic quark-diquark picture
• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks
• Observation of $J/\psi \varphi$ structures consistent with exotic states from amplitude analysis of $B^{+}\to J/\psi \varphi K^{+}$ decays
• Spectroscopy and Regge trajectories of heavy quarkonia and B_c mesons
• $QQ\bar{Q}\bar{Q}$ states: masses, production, and decays
• Hunting for exotic doubly hidden-charm/bottom tetraquark states
• A non-relativistic model for the $[cc][\bar{c}\bar{c}]$ tetraquark
• Observation of a peaking structure in the J/psi phi mass spectrum from B(+/-) to J/psi phi K(+/-) decays
• Spectrum of fully-heavy tetraquarks from a diquark+antidiquark perspective
• Amplitude analysis of $B^{+}\to J/\psi \varphi K^{+}$ decays
• Tetraquarks composed of 4 heavy quarks
• All-heavy tetraquarks
• Analysis of the $QQ\bar{Q}\bar{Q}$ tetraquark states with QCD sum rules
• Evidence for direct CP violation in the decay B->D(*)K, D->KsPi+Pi- and measurement of the CKM phase phi3
• Effective Functional Form of Regge Trajectories
• Observation of a new ${\Xi }_b^{-}$ resonance
• Charmed Baryonium
• All-charm tetraquarks
• Search for the X(4140) state in B+->J/psi phi K+ decays with the D0 detector
• Properties of $Q\bar{Q}$ mesons in non-relativistic QCD formalism
• Heavy tetraquarks in the relativistic quark model
• Beauty-full Tetraquarks
• Observation of the $Y(4140)$ structure in the $J/\psi \varphi$ Mass Spectrum in $B^{\pm }\to J/\psi \varphi K$ cays
• Some mass relations for mesons and baryons in Regge phenomenology
• Diffusion Monte Carlo calculations of fully-heavy (multiquark) bound states
• Fully-heavy tetraquark spectra and production at hadron colliders
• Systematics of fully heavy tetraquarks
• Search for the X(4140) state in B+ to J/psi phi K+ decays
• Spectroscopy of singly, doubly, and triply bottom baryons
• Observation of two resonances in the ${\Lambda }_b^0{\pi }^{\pm }$ systems and precise measurement of ${\Sigma }_b^{\pm }$ and ${\Sigma }_b^{\ast \pm }$ properties
• Masses of Doubly Heavy Tetraquarks with Error Bars
• First Observation of the Zb0(10610) in a Dalitz Analysis of Y(5S) -> Y(nS) pi0 pi0
• Fully-heavy tetraquarks in strongly interacting medium
• Meson spectrum in Regge phenomenology
• Study of charmonium-like and fully-charm tetraquark spectroscopy
• Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data
• Hadron Systematics and Emergent Diquarks
• Study of the process $e^{+}{e}^{-}\to {\pi }^0{\pi }^{0}J/\psi$ and neutral charmonium-like state $Z_c(3900{)}^0$
• Higher mass spectra of the fully-charmed and fully-bottom tetraquarks
• Observation of a resonant structure in $e^{+}{e}^{-}\to \omega \eta$ and another in $e^{+}{e}^{-}\to \omega {\pi }^0$ at center-of-mass energies between 2.00 and 3.08 GeV
• On the Regge Slopes Intramultiplet Relation
• Fully-strange tetraquark $ss\bar{s}\bar{s}$ spectrum and possible experimental evidence
• New Mass Relations for Heavy Quarkonia
• Observation of two new excited ${\Xi }_b^0$ states decaying to ${\Lambda }_b^0{K}^{-}{\pi }^{+}$
• Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson
• Spectroscopy of all charm tetraquark states
• Regge-like relation and a universal description of heavy-light systems
• Open charm enhancement by secondary interactions in relativistic nucleus-nucleus collisions?
• Measurement of the Born cross sections for $e^{+}{e}^{-}\to {\eta }^{\prime }{\pi }^{+}{\pi }^{-}$ at center-of-mass energies between $2.00$ and $3.08$ GeV
• Partial wave analysis of $\psi (3686)\to K^{+}{K}^{-}\eta$
• Kaon and strangeonium spectrum in Regge phenomenology
• Partial-wave analysis of $J/\psi \to K^{+}{K}^{-}{\pi }^0$
• Extension of the J-PARC Hadron Experimental Facility: Third White Paper
• New Mass Relation for Meson 25-plet
• Regge Trajectories For All Flavors
• Hadronic Masses and Regge Trajectories
• Structure of the meson Regge trajectories
• $B_c$ meson spectroscopy motivated by general features of pNRQCD
• Mass-Spectroscopy of hidden charm and hidden strange tetraquarks in diquark-antidiquark approach
• Investigation of Mass and Decay Characteristics of the All-light Tetraquark
• Spectroscopy and new particles