Triply-charmed hexaquark states with the QCD sum rules

Abstract

In this article, we construct the charmed-diquark-charmed-diquark-charmed-diquark type current to study the axialvector triply-charmed hexaquark state with the QCD sum rules in details. In calculations, we take the energy scale formula $\mu =\sqrt{M_H^2-(3{\mathbb{M}}_c{)}^2}$ to choose the pertinent energy scale of the QCD spectral density so as to enhance the pole contribution and improve the convergent behavior of the operator product expansion. If the spin-breaking effects are small for the triply-charmed hexaquark states, the ground state hexaquark states with $J^P=0^{+}$, $1^{+}$ and $2^{+}$ are estimated to have the masses about $5.8\mathrm{GeV}$ and narrow widths.

Comments: 14 pages, 9 figures. arXiv admin note: text overlap with arXiv:2003.10631, arXiv:1912.07230