Eur. Phys. J. C (2023) 83: 559
https://doi.org/10.1140/epjc/s10052-023-11715-4

Regular Article - Theoretical Physics

Investigating full-heavy tetraquarks composed of $cc\overline{c}\overline{b}$ and $bb\overline{b}\overline{c}$

Department of Physics, Nanjing Normal University, 210023, Nanjing, People’s Republic of China

^b hebingran@njnu.edu.cn

Received: 15 November 2022
Accepted: 15 June 2023
Published online: 3 July 2023

Abstract

The full-heavy tetraquarks $cc\overline{c}\overline{b}$ and $bb\overline{b}\overline{c}$ are systematically investigated within a quark model. The meson–meson structure, diquark–antidiquark structure and K-structure are considered in this work. There is no bound state for $cc\overline{c}\overline{b}$ and $bb\overline{b}\overline{c}$ systems in $I{J}^P={00}^{+},{01}^{+}$ and ${02}^{+}$ channels. However, for $cc\overline{c}\overline{b}$ system, three possible resonance states with energy of $10,079\text{MeV}$, $10,081\text{MeV}$ and $10,177\text{MeV}$ are found in $I{J}^P={00}^{+},{01}^{+}$ and ${02}^{+}$, respectively, and their decay width $\mathrm{\Gamma }$ are 6.7–8.4 MeV, 1.4–7.2 MeV and 9.1–11.1 MeV. For $bb\overline{b}\overline{c}$ system, there also exist three possible resonance states with energy of $16,474\text{MeV}$, $16,474\text{MeV}$ and $16,541\text{MeV}$ in $I{J}^P={00}^{+},{01}^{+}$ and ${02}^{+}$, respectively, and the decay widths $\mathrm{\Gamma }$ of them are 2.2–6.1 MeV, 2.2–6.9 MeV and 5.3–8.5 MeV. $bc\overline{c}\overline{c}$ and $cb\overline{b}\overline{b}$ systems will have the same results as $cc\overline{c}\overline{b}$ and $bb\overline{b}\overline{c}$, respectively. These full-heavy resonance states are worthy to be searched in the future experiments.