Could $\bar{\Lambda}_c$ and $\Lambda_c$ form bound hadronic molecule with explicit $P-wave$ ?

Abstract

In this article, the explicit $P-wave$ of the $\bar{\Lambda}_c\Lambda_c$ dibaryon states with the $J^{PC}=0^{-\pm}$ and $1^{-\pm}$ are studied via twelve interpolated currents. Results show that the positive and negative charge conjugations for the studied states do not have too much difference, the contribution of the gluon from covariant derivative of the current with $P-wave$ could be neglected. The numerical results of the masses of the $P-wave$ $\bar{\Lambda}_c\Lambda_c$ are high above the threshold of the two $\bar{\Lambda}_c$ and $\Lambda_c$ baryon constituents, $\bar{\Lambda}_c$ and $\Lambda_c$ are unlikely to form the bound molecules with explicit $P-wave$ . Pole residues of the related states are also calculated.