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

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