Nonrelativistic Treatment of Fully-Heavy Tetraquarks as Diquark-Antidiquark States

Abstract

The goal of the present work is to obtain a reliable estimate of the masses of the ground and radially excited states of fully-heavy tetraquark systems. In order to do this, we use a nonrelativistic model of tetraquarks which are assumed to be compact and consist of diquark-antidiquark pairs. This nonrelativistic model is composed of Hulthen potential, a linear confining potential and spin-spin interaction. We computed ground, first, and second radially excited $cc\bar{c}\bar{c}$ and $bb\bar{b}\bar{b}$ tetraquark masses. It was found that predicted masses of ground states of $cc\bar{c}\bar{c}$ and $bb\bar{b}\bar{b}$ tetraquarks are significantly higher than the thresholds of the fall-apart decays to the lowest allowed two-meson states. These states should be broad and are thus difficult to observe experimentally. First radially excited states are considerably lower than their corresponding (2S-2S) two-meson thresholds. We hope that our study may be helpful to the experimental search for ground and excited $cc\bar{c}\bar{c}$ and $bb\bar{b}\bar{b}$ tetraquark states.

13 pages, 2 figures, 15 tables, Accepted by European Physical Journal C

References in corpus (16)

• Charmonium
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• $QQ\bar{Q}\bar{Q}$ states: masses, production, and decays
• Full-heavy tetraquarks in constituent quark models
• A study of $cc\bar{c}\bar{c}$ tetraquark decays in 4 muons and in $D^{(\ast )}{\bar{D}}^{(\ast )}$ at LHC
• Towards the understanding of fully-heavy tetraquark states from various models
• Masses of the $QQ\bar{Q}\bar{Q}$ tetraquarks in the relativistic diquark--antidiquark picture
• Strong decays of fully-charm tetraquarks into di-charmonia
• Interpretation of structure in the di-$J/\psi$ spectrum
• On the mechanism of $T_{4c}(6900)$ tetraquark production
• Fully-heavy tetraquarks in strongly interacting medium
• Search for $bb\bar{b}\bar{b}$ tetraquark decays in 4 muons, $B^{+}{B}^{-}$, $B^0{\bar{B}}^0$ and $B_s^0{\bar{B}}_s^0$ channels at LHC
• Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data
• Four-quark states from functional methods
• The Spinless Relativistic Hulthén Problem

Cited by in corpus (36)

• An updated review of the new hadron states
• Fully-heavy tetraquark spectroscopy in the relativistic quark model
• Is the existence of a $J/\psi J/\psi$ bound state plausible?
• The $S$- and $P$-wave fully charmed tetraquark states and their radial excitations
• Higher mass spectra of the fully-charmed and fully-bottom tetraquarks
• Mass spectra and wave functions of $T_{QQ\bar{Q}\bar{Q}}$ tetraquarks
• Higher fully-charmed tetraquarks: Radial excitations and P-wave states
• $S$-wave fully charmed tetraquark resonant states
• Spectroscopy behavior of fully heavy tetraquarks
• Benchmark calculations of fully heavy compact and molecular tetraquark states
• Spectrum of $cc\bar{b}\bar{b}$, $bc\bar{c}\bar{c}$, and $bc\bar{b}\bar{b}$ Tetraquark States in the Dynamical Diquark Model
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
• Exotic fully-heavy $Q\bar{Q}Q\bar{Q}$ tetraquark states in $8_{[Q\bar{Q}]}\otimes 8_{[Q\bar{Q}]}$ color configuration
• X(6200) as a compact tetraquark in the QCD string model
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• Fully charmed tetraquarks from LHC to FCC: Natural stability from fragmentation
• The bosonic algebraic approach applied to the $[QQ][\bar{Q}\bar{Q}]$ tetraquarks
• Pseudoscalar charmonium pair interactions via the Pomeron exchange mechanism
• Exotic tetraquarks at the HL-LHC with JETHAD: A high-energy viewpoint
• Bottomoniumlike states in proton collisions: Fragmentation and resummation
• Light quark fragmentation into S-wave fully charmed tetraquark
• Hadronic molecules with four charm or beauty quarks
• Fragmentation of fully heavy tetraquarks: The TQ4Q1.1 functions as a case study
• P-wave fully charm and fully bottom tetraquark states
• The $X(6900)$ peak could be a molecular state
• Searching for fully-heavy tetraquark states in QCD moment sum rules
• Fully charmed P-wave tetraquark resonant states in the quark model
• Tetraquark-Jet Systems at the High-Luminosity LHC
• Spectroscopic study of $ss\bar{b}\bar{b}$ and $bb\bar{b}\bar{b}$ Tetraquarks using Regge phenomenology
• Prediction of charmed-bottom pentaquarks in quark model
• Fully-heavy tetraquarks in the vacuum and in a hot environment
• Strong decays of the fully-charm tetraquark states with explicit P-waves via the QCD sum rules
• Fully heavy tetraquark states with a diquark-antidiquark configuration
• Investigating the internal structure of $X(6900)$ in the $2J/\psi$ decay channel
• Rotation and vibration in tetraquarks
• Beauty Hadron Spectrum in a Screened Potential Model