Hadronic Molecular States Composed of Spin-$3\over 2$ Singly Charmed Baryons

TL;DR

This paper explores the potential formation of deuteron-like molecular states from pairs of spin-3/2 charmed baryons or baryon-antibaryon pairs using the one-boson-exchange model, highlighting the significance of coupled channels.

Contribution

It introduces a detailed analysis of possible molecular states of charmed baryons and antibaryons, emphasizing the role of coupled channels in their binding mechanisms.

Findings

Most systems have binding solutions.

Coupled channel effects are crucial for loosely bound states.

Possible stable molecular states of $\Omega_c^*\Omega_c^*$ and $\Omega_c^*ar{\Omega}_c^*$.

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 $\Omega_c^*\Omega_c^*$ and $\Omega_c^*\bar{\Omega}_c^*$ might be stable once produced.