Eur. Phys. J. A (2011) 47: 127
https://doi.org/10.1140/epja/i2011-11127-y

Regular Article - Theoretical Physics

ρρN and ρρΔ molecules with J^P = 5/2⁺ and J^P = 7/2⁺

¹ Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Apartado 22085, 46071, Valencia, Spain
² Institute of Theoretical Physics, College of Applied Sciences, Beijing University of Technology, 100124, Beijing, China
³ School of Physics and Nuclear Energy Engineering, Beihang University, 100191, Beijing, China

^* e-mail: sunbx@jut.edu.cn

Received: 4 July 2011
Revised: 30 September 2011
Accepted: 4 October 2011
Published online: 24 October 2011

Abstract

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