The $\Lambda_c\Sigma_c$ dibaryon and $\bar{\Lambda}_c\Sigma_c\pm \bar{\Sigma}_c\Lambda_c$ baryonium states via the QCD sum rules

Abstract

In the present work, we study the $\Lambda_c\Sigma_c$ dibaryon and $\bar{\Lambda}_c\Sigma_c\pm \bar{\Sigma}_c\Lambda_c$ baryonium states via the QCD sum rules. We construct four (eight) currents with definite $J^P$ ($J^{PC}$) to interpolate the dibaryon (baryonium) states and obtain twelve QCD sum rules. For the dibaryon states, the state with the $J^P=1^+$ lies below the $\Lambda_c\Sigma_c$ threshold, and is a molecule candidate. For the baryonium states, the states with the $J^P=0^{-\pm}$ and $1^{-\pm}$ lie below the $\bar{\Lambda}_c\Sigma_c$ threshold, and are four molecule candidates. The present predictions can be confronted to the experimental data in the future and make contributions to the exotic spectroscopy.