Hadronic Molecular States Composed of Spin-$\frac{3}{2}$ Singly Charmed Baryons

Abstract

We investigate the possible deuteron-like molecules composed of a pair of charmed spin-$\frac{3}{2}$ baryons, or one charmed baryon and one charmed antibaryon within the one-boson-exchange (OBE) model. For the spin singlet and triplet systems, we consider the couple channel effect between systems with different orbital angular momentum. Most of the systems have binding solutions. The couple channel effect plays a significant role in the formation of some loosely bound states. The possible molecular states of ${\Omega }_c^{\ast }{\Omega }_c^{\ast }$ and ${\Omega }_c^{\ast }{\bar{\Omega }}_c^{\ast }$ might be stable once produced.

Comments: 18 pages, 7 figures