rho-rho-N and rho-rho-Delta molecules with $J^P=5/2^{+}$ and $J^P=7/2^{+}$

TL;DR

This study predicts the existence of rho-rho-N and rho-rho-Delta bound states with specific quantum numbers using the fixed center approximation of Faddeev equations, providing potential experimental signatures.

Contribution

It introduces a theoretical framework to identify rho-rho-N and rho-rho-Delta bound states with specific J^P values, expanding understanding of three-body meson-baryon systems.

Findings

Bound states found at 2227 MeV and 2372 MeV.

Rho-rho-Delta state has a stronger signal than rho-rho-N.

Discussion on experimental detection strategies.

Abstract

The rho-rho-N and rho-rho-Delta three-body systems have been studied within the framework of the fixed center approximation of Faddeev equation. The rho-rho interaction in isospin I=0, spin S=2 is strongly attractive, and so are the N-rho, Delta-rho interactions. This leads to bound states of both rho-rho-N and rho-rho-Delta. We find peaks of the modulus squared of the scattering matrix around 2227 MeV for rho-rho-N, and 2372 MeV for rho-rho-Delta. Yet, the strength of the peak for the rho-rho-N amplitude is much smaller than for rho-rho-Delta, weakening the case for a rho-rho-N bound state, or a dominant rho-rho-N component. A discussion is made on how these states can be searched for in present programs looking for multimeson final states in different reactions.