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All-heavy tetraquarks with different flavors

Wei-Xiang Wang, Lin-Qin Xie, Jun-Jie Liu, Zhi-Biao Liang, Ming-Sheng Liu, Xian-Hui Zhong

Abstract

In a nonrelativistic potential quark model framework, we carry out a precise calculation of the mass spectrum of the all-heavy tetraquarks with different flavors, $bb\bar{b}\bar{c}$, $cc\bar{c}\bar{b}$, $bb\bar{c}\bar{c}$, and $bc\bar{b}\bar{c}$, by adopting the explicitly correlated Gaussian method. A complete mass spectrum for the $1S$ states is obtained. For the $bb\bar{b}\bar{c}$, $cc\bar{c}\bar{b}$, $bb\bar{c}\bar{c}$, and $bc\bar{b}\bar{c}$ systems, the $1S$ states are predicted to lie in the mass ranges of $ \sim(16.06,16.14)$, $\sim(9.65,9.74)$, $\sim(12.89,12.94)$, and $\sim(12.75,12.99)$~GeV, respectively.Moreover, by using the obtained masses and wave functions, we evaluate the fall-apart decay properties within a quark-exchange model.The results show that the $1S$ states of the all-heavy tetraquarks with different flavors may have narrow fall-apart decay widths,which ranging from a few tenths to several MeV. Some all-heavy tetraquarks with different flavors may have good potentials to be established at LHC in their optimal fall-apart decay channels, such as $ΥJ/ψ$, $ΥB_c^-$, and $J/ψB_c^+$.

All-heavy tetraquarks with different flavors

Abstract

In a nonrelativistic potential quark model framework, we carry out a precise calculation of the mass spectrum of the all-heavy tetraquarks with different flavors, , , , and , by adopting the explicitly correlated Gaussian method. A complete mass spectrum for the states is obtained. For the , , , and systems, the states are predicted to lie in the mass ranges of , , , and ~GeV, respectively.Moreover, by using the obtained masses and wave functions, we evaluate the fall-apart decay properties within a quark-exchange model.The results show that the states of the all-heavy tetraquarks with different flavors may have narrow fall-apart decay widths,which ranging from a few tenths to several MeV. Some all-heavy tetraquarks with different flavors may have good potentials to be established at LHC in their optimal fall-apart decay channels, such as , , and .

Paper Structure

This paper contains 24 sections, 37 equations, 5 figures, 6 tables.

Table of Contents

  1. introduction
  2. FRAMEWORK
  3. Mass spectrum
  4. Hamiltonian
  5. States classified in the quark model
  6. Numerical method
  7. Fall-apart decay
  8. Results and discussions
  9. $bb\bar{b}\bar{c}$
  10. $0^+$ states
  11. $1^+$ states
  12. $2^+$ state
  13. $cc\bar{c}\bar{b}$
  14. $0^+$ states
  15. $1^+$ states
  16. ...and 9 more sections

Figures (5)

  • Figure 1: Mass spectrum of all-heavy tetraquarks with different flavors. The red solid lines and blue dashed lines represent the results of this work and our previous work ms100:2019, respectively. The unit of mass is MeV.
  • Figure 2: A comparison of the masses of the lowest $1S$-wave $bb\bar{b}\bar{c}$ states from various model predictions.
  • Figure 3: A comparison of the masses of the lowest $1S$-wave $cc\bar{c}\bar{b}$ states from various model predictions.
  • Figure 4: A comparison of the masses of the lowest $1S$-wave $bb\bar{c}\bar{c}$ states from various model predictions.
  • Figure 5: A comparison of the masses of the lowest $1S$-wave $bc\bar{b}\bar{c}$ states from various model predictions.