Study of ${\Lambda }_c$${\Lambda }_c$ dibaryon and ${\Lambda }_c$${\bar{\Lambda }}_c$ baryonium states via QCD sum rules

Abstract

In this article, we construct the six-quark currents with the $J^P=0^{+}$, $0^{-}$, $1^{+}$ and $1^{-}$ to study the ${\Lambda }_c$${\Lambda }_c$ dibaryon and ${\Lambda }_c$${\bar{\Lambda }}_c$ baryonium states via QCD sum rules. We consider the vacuum condensates up to dimension 16 and truncation of the order $\mathcal{O}({\alpha }_s^k)$ with $k\le 3$. The predicted masses are $5.11_{-0.12}^{+0.15}$GeV, $4.66_{-0.06}^{+0.10}$GeV, $4.99_{-0.09}^{+0.10}$GeV $4.68_{-0.08}^{+0.08}$GeV for the $J^P=0^{+}$, $0^{-}$, $1^{+}$ and $1^{-}$ states, respectively, which can be confronted to the experimental data in the future considering the high integrated luminosity at the center-of-mass energy about $4.8\mathrm{GeV}$ at the BESIII. We find the terms with $\frac{3}{2}<k\le 3$ do play a tiny role, and we can ignore these terms safely in the QCD sum rules.

49 pages,16 figures

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Cited by in corpus (17)

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• Possible ${\Lambda }_c{\bar{\Lambda }}_c$ molecular states and their productions in nulceon-antinulceon collision
• Spectrum of the molecular hexaquarks
• The strange cousin of the $Z_c(4020/4025)$ as tetraquark state
• Double-charm and hidden-charm hexaquark states under the complex scaling method
• Possible molecular states from interactions of charmed baryons
• The fully-light vector tetraquark states with explicit P-wave via the QCD sum rules
• Doubly charmed dibaryon states
• Investigation of ${\Delta }^0{\Delta }^0$ dibaryon in QCD
• Mass spectra of $0^{--}$ and $0^{+-}$ hidden-heavy baryoniums
• Gluonic Hidden-charm Tetraquark States
• Spectrum of Light Hexaquark States in Triquark-antitriquark Configuration
• Mass spectrum of the $\Omega \bar{\Omega }$ states
• Baryons and baryoniums in the perspective of QCD sum rules