Heavy Tetraquarks in the Diquark-Antidiquark Picture

Abstract

The homogeneous Lippmann-Schwinger integral equation is solved in momentum space to calculate the masses of heavy tetraquarks with hidden charm and bottom. The tetraquark bound states are studied in the diquark-antidiquark picture as a two-body problem. A regularized form of the diquark-antidiquark potential is used to overcome the singularity of the confining potential at large distances or small momenta. Our numerical results indicate that the relativistic effect leads to a small reduction in the mass of heavy tetraquarks, which is less than $2\%$ for charm and less than $0.2\%$ for bottom tetraquarks. The calculated masses of heavy tetraquarks for $1s$, $1p$, $2s$, $1d$ and $2p$ states are in good agreement with other theoretical calculations and experimental data. Our numerical analysis predict the masses of heavy tetraquarks for $3s$, $2d$ and $3p$ states for the first time, and we are not aware of any other theoretical results or experimental data for these states.

References in corpus (12)

• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Observation of Two Resonant Structures in e+e- to pi+ pi- psi(2S) via Initial State Radiation at Belle
• Measurement of e^+e^- to pi^+pi^-J/psi Cross Section via Initial State Radiation at Belle
• Observation of a near-threshold enhancement in the e+e- -->Lambda_c+Lambda_c- cross section using initial-state radiation
• Masses of tetraquarks with two heavy quarks in the relativistic quark model
• Excited heavy tetraquarks with hidden charm
• Masses of tetraquarks with open charm and bottom
• AdS-QCD quark-antiquark potential, meson spectrum and tetraquarks
• Relativistic model of hidden bottom tetraquarks
• Tetraquarks as Diquark Antidiquark Bound Systems
• Hyperspherical harmonic formalism for tetraquarks
• Comment on "Tetraquarks as diquark-antidiquark bound systems"

Cited by in corpus (13)

• The hidden-charm pentaquark and tetraquark states
• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• The $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$ in the relativized quark model
• Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data
• Masses of open charm and bottom tetraquark states in a relativized quark model
• The $ss\bar{s}\bar{s}$ tetraquark states and the newly observed structure $X(2239)$ by BESIII Collaboration
• Mass-Spectroscopy of hidden charm and hidden strange tetraquarks in diquark-antidiquark approach
• Momentum space calculations of the binding energies of argon dimer
• Spectroscopic study of $ss\bar{b}\bar{b}$ and $bb\bar{b}\bar{b}$ Tetraquarks using Regge phenomenology
• $\lambda$ and $\rho$ Regge trajectories for hidden bottom and charm tetraquarks $(Qq)(\bar{Q}{\bar{q}}^{\prime })$
• R-Matrix Calculations for Few-Quark Bound States
• Mass-Spectroscopy of [$bb][\bar{b}\bar{b}$] and [$bq][\bar{b}\bar{q}$] tetraquark states in a diquark-antidiquark formalism