A simple model of the charmed hypertriton

Abstract

We investigate the three-baryon system with charm +1 in a simple model. Charmed lambda $\Lambda_{c}$ is assumed to orbit an unperturbed deuteron in a charmed lambda-deuteron potential based on a separable charmed lambda-nucleon potential from chiral effective field theory techniques extrapolations of lattice QCD data for the $\Lambda_{c}N$ $^{1}S_{0}$ and $^{3}S_{1}$ partial waves. We have estimated the strength and the range of the $\Lambda_{c}$d potential. Also, the $\Lambda_{c}$ particle momentum distribution in $_{\Lambda_{c}}^{3}H$ is presented and compared by $\Lambda$ particle in $_{\Lambda}^{3}H$. It is found that there is no bound $_{\Lambda_{c}}^{3}H$ state by solving eigenvalue condition equation.