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.

Comments: some results is not exact the results is not as good as should be