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

Abstract

The full-heavy tetraquarks $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$ are systematically investigated within the chiral quark model. The meson-meson structure, diquark-antidiquark structure and K-structure are considered in this work. There is no bound state for $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$ systems in $I{J}^P=00^{+},01^{+}$ and $02^{+}$ channels. However, for $cc\bar{c}\bar{b}$ system, three possible resonance states with energy of $10079\mathrm{MeV}$, $10081\mathrm{MeV}$ and $10177\mathrm{MeV}$ are found in $I{J}^P=00^{+},01^{+}$ and $02^{+}$, respectively, and their decay width $\Gamma$ are $6.7-8.4\mathrm{MeV}$, $1.4-7.2\mathrm{MeV}$ and $9.1-11.1\mathrm{MeV}$. For $bb\bar{b}\bar{c}$ system, there also exist three possible resonance states with energy of $16474\mathrm{MeV}$, $16474\mathrm{MeV}$ and $16541\mathrm{MeV}$ in $I{J}^P=00^{+},01^{+}$ and $02^{+}$, respectively, and the decay widths $\Gamma$ of them are $2.2-6.1\mathrm{MeV}$, $2.2-6.9\mathrm{MeV}$ and $5.3-8.5\mathrm{MeV}$. $bc\bar{c}\bar{c}$ and $cb\bar{b}\bar{b}$ systems will have the same results as $cc\bar{c}\bar{b}$ and $bb\bar{b}\bar{c}$, respectively. These full-heavy resonance states are worthy to be searched in the future experiments.

Comments: 10 pages, 9 figures