https://doi.org/10.1140/epja/i2014-14067-0
Regular Article - Theoretical Physics
Description of ρ(1700) as a 
system with the fixed-center approximation
1
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Apartado 22085, 46071, Valencia, Spain
2
Department of Physics, Kocaeli University, 41380, Izmit, Turkey
3
Department of Physics, Guangxi Normal University, 541004, Guilin, P. R. China
* e-mail: uchino@ific.uv.es
Received:
16
December
2013
Revised:
3
March
2014
Accepted:
11
March
2014
Published online:
7
April
2014
We study the system with the aim to describe the ρ(1700) resonance. The chiral unitary approach has achieved success in the description of systems of the light hadron sector. With this method, the 
system in the isospin sector I = 0, is found to be a dominant component of the f
0(980) resonance. Therefore, by regarding the system as a cluster, the f
0(980) resonance, we evaluate the system applying the fixed-center approximation to the Faddeev equations. We construct the ρK unitarized amplitude using the chiral unitary approach. As a result, we find a peak in the three-body amplitude around 1732 MeV and a width of about 161 MeV. The effect of the width of the ρ and f
0(980) is also discussed. We associate this peak to the ρ(1700) which has a mass of 1720 ± 20MeV and a width of 250 ± 100 MeV.
© SIF, Springer-Verlag Berlin Heidelberg, 2014
