Abstract
In this work, we systematically study the mass spectrum of the fully heavy tetraquark in an extended chromomagnetic model, which includes both color and chromomagnetic interactions. Numerical results indicate that the energy level is mainly determined by the color interaction, which favors the color-sextet $|(QQ{)}^{{6}_{c}}(\overline{Q}\overline{Q}{)}^{{\overline{6}}_{c}}⟩$ configuration over the color-triplet $|(QQ{)}^{{\overline{3}}_{c}}(\overline{Q}\overline{Q}{)}^{{3}_{c}}⟩$ one. The chromomagnetic interaction mixes the two color configurations and gives small splitting. The ground state is always dominated by the color-sextet configuration. We find no stable state below the lowest heavy quarkonium pair thresholds. Most states may be wide since they have at least one $S$-wave decay channel into two $S$-wave mesons. One possible narrow state is the ${1}^{+}$ $bb\overline{b}\overline{c}$ state with a mass 15719.1 MeV. It is just above the ${\ensuremath{\eta}}_{b}{\overline{B}}_{c}$ threshold. But this channel is forbidden because of the conservation of the angular momentum and parity.
Highlights
In the quark model [1,2], a normal hadron is composed of quark-antiquark pair or three quarks
We systematically study the mass spectrum of the fully heavy tetraquark in an extended chromomagnetic model, which includes both color and chromomagnetic interactions
We find no stable state below the lowest heavy quarkonium pair thresholds
Summary
In the quark model [1,2], a normal hadron is composed of quark-antiquark pair (meson) or three quarks (baryons). The LHCb collaboration observed a narrow structure and a wide structure in the J=ψ-pair invariant mass spectrum in the range of 6.2–7.2 GeV, which could be all-charm hadrons [33]. For the color-singlet hadrons, we found that the effective quark masses can be absorbed into the color interaction With this model, we can reproduce the mass of doubly charm baryon Ξcc [67] and the recently observed Pc pentaquarks [68]. We will use the extended chromomagnetic model to study the spectrum of the S-wave fully heavy tetraquarks.
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