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Fully heavy tetraquark states with diquark-antidiquark configuration

Xi Xia, Tao Guo

Abstract

The study of the fully heavy tetraquark state helps to better understand the characteristics of compact exotic hadrons formed by quarks and gluons. In this work, we systematically investigate the mass spectra and decay channels of fully heavy tetraquark states using a diquark-antidiquark model based on the one gluon exchange process. The tetraquark states are treated as compact diquark-antidiquark configurations, denoted as $[QQ][\bar{Q}\bar{Q}]$, where $Q = c$ or $b$. By properly accounting for the Pauli principle, basis wave functions incorporating flavor, color, and spin are constructed. The required model parameters are derived from fitting conventional hadron experimental values and lattice QCD calculations. We calculate the mass spectra and decays of the fully heavy tetraquarks in the lower $S$- and $P$-waves. Our results do not support interpreting $X(6600)$, $X(6900)$, and $X(7200)$ as the $1S$-wave fully charmed tetraquark states. Nevertheless, our analysis suggests that $X(6200)$ can be a good candidate for the $1S$-wave fully charmed tetraquark state with quantum numbers $2^{++}$. Furthermore, we also identifies several narrow fully heavy tetraquark states that may be observable in future experiments.

Fully heavy tetraquark states with diquark-antidiquark configuration

Abstract

The study of the fully heavy tetraquark state helps to better understand the characteristics of compact exotic hadrons formed by quarks and gluons. In this work, we systematically investigate the mass spectra and decay channels of fully heavy tetraquark states using a diquark-antidiquark model based on the one gluon exchange process. The tetraquark states are treated as compact diquark-antidiquark configurations, denoted as , where or . By properly accounting for the Pauli principle, basis wave functions incorporating flavor, color, and spin are constructed. The required model parameters are derived from fitting conventional hadron experimental values and lattice QCD calculations. We calculate the mass spectra and decays of the fully heavy tetraquarks in the lower - and -waves. Our results do not support interpreting , , and as the -wave fully charmed tetraquark states. Nevertheless, our analysis suggests that can be a good candidate for the -wave fully charmed tetraquark state with quantum numbers . Furthermore, we also identifies several narrow fully heavy tetraquark states that may be observable in future experiments.

Paper Structure

This paper contains 14 sections, 32 equations, 2 figures, 6 tables.

Table of Contents

  1. Introduction
  2. Theoretical model
  3. Effective Hamiltonian
  4. Basis wave functions
  5. Decay width
  6. results and discussion
  7. Model parameters
  8. $[cc][\bar{c}\bar{c}]$, $[bb][\bar{b}\bar{b}]$, and $[cb][\bar{c}\bar{b}]$ systems
  9. $[cc][\bar{c}\bar{c}]$ system
  10. $[bb][\bar{b}\bar{b}]$ system
  11. $[cb][\bar{c}\bar{b}]$ system
  12. $[cc][\bar{c}\bar{b}]$, $[bb][\bar{b}\bar{c}]$, and $[cc][\bar{b}\bar{b}]$ systems
  13. Summary
  14. Wave Functions

Figures (2)

  • Figure 1: The mass spectra of the fully heavy tetraquark states: (a) $[cc][\bar{c}\bar{c}]$, (b) $[bb][\bar{b}\bar{b}]$, and (c) $[cb][\bar{c}\bar{b}]$, each with different quantum numbers. The dash-dotted lines represent the corresponding meson-meson thresholds. In Fig. (c), the "several channels" include many threshold lines; for clarity and visual neatness, those lines overlapping with the energy levels have been omitted.
  • Figure 2: The mass spectra of the fully-heavy tetraquark states: (a) $[cc][\bar{c}\bar{b}]$, (b) $[bb][\bar{b}\bar{c}]$, and (c) $[cc][\bar{b}\bar{b}]$, each with different quantum numbers. The dash-dotted lines represent the corresponding meson-meson thresholds.