J=3/2 charmed hypertriton

TL;DR

This paper investigates the existence of a bound state in the charm hypertriton system with J=3/2 by solving three-body equations and analyzing baryon interactions from a chiral quark model, predicting a weakly bound state.

Contribution

It provides the first exact three-body calculation of the charm hypertriton, revealing the potential for a bound state influenced by charm baryon interactions and Coulomb effects.

Findings

A bound state in the (I,J)=(0,3/2) channel is predicted.

Coulomb corrections suggest a binding energy between 140 and 715 keV.

The charm sector shows reversed state ordering compared to the strange sector.

Abstract

By solving exact three-body equations, we study the three-baryon system with charm $+1$. We look for possible bound states using baryon-baryon interactions obtained from a chiral constituent quark model. The smaller effect of the $\Lambda_c \leftrightarrow \Sigma_c$ conversion reverses the order of the $(I,J)=(0,1/2)$ and $(I,J)=(0,3/2)$ states, rather close on the strange sector. The diminishing of the kinetic energy due to the large reduced mass gives rise to a bound state in the $(I,J)=(0,3/2)$ channel. After correcting for Coulomb effects the binding energy would be between 140 and 715 keV.