A simple model of the charmed hypertriton

TL;DR

This paper models the charmed hypertriton as a three-baryon system with charm +1, using a simple potential based on chiral effective field theory and lattice QCD data, concluding no bound state exists.

Contribution

It introduces a simple model for the charmed hypertriton using a separable potential derived from chiral EFT and lattice QCD, estimating the potential's strength and range.

Findings

No bound $_{\Lambda_{c}}^{3}H$ state found.

Estimated the $\Lambda_{c}$d potential parameters.

Compared $\Lambda_{c}$ and $\Lambda$ momentum distributions.

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.