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

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.

7 pages, 5 figures

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Cited by in corpus (5)

• Pentaquark and Tetraquark states
• Re-analysis of the $\Lambda (1520)$ photoproduction reaction
• Role of the ${\Delta }^{\ast }(1940)$ in the ${\pi }^{+}p\to K^{+}{\Sigma }^{+}(1385)$ and $pp\to n{K}^{+}{\Sigma }^{+}(1385)$ reactions
• States of $\rho B^{\ast }{\bar{B}}^{\ast }$ with $J=3$ within the Fixed Center Approximation to Faddeev equations
• The role of $N^{\ast }(2120)$ nucleon resonance in $K\Lambda (1520)$ photon and hadronic productions