Could $\barΛ_c$ and $Λ_c$ form bound hadronic molecule with explicit $P-wave$ ?

Abstract

In this article, the explicit $P-wave$ of the $\barΛ_cΛ_c$ 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 $P-wave$ $\barΛ_cΛ_c$ are high above the threshold of the two $\barΛ_c$ and $Λ_c$ baryon constituents, $\barΛ_c$ and $Λ_c$ are unlikely to form the bound molecules with explicit $P-wave$ . Pole residues of the related states are also calculated.