Eur. Phys. J. A (2015) 51: 111
https://doi.org/10.1140/epja/i2015-15111-3

Regular Article - Theoretical Physics

Photoproduction of the f₂(1270) resonance

¹ Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China
² Research Center for Hadron and CSR Physics, Institute of Modern Physics of CAS and Lanzhou University, 730000, Lanzhou, China
³ State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, China
⁴ Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain

^* e-mail: xiejujun@impcas.ac.cn

Received: 22 April 2015
Revised: 25 June 2015
Accepted: 15 August 2015
Published online: 15 September 2015

Abstract

We have performed a calculation of the γp → π ⁺ π ⁻ p reaction, where the two pions have been separated in D-wave producing the f ₂(1270) resonance. We use elements of the local hidden gauge approach that provides the interaction of vector mesons in which the f ₂(1270) resonance appears as a ρ-ρ molecular state in L = 0 and spin 2. The vector meson dominance, incorporated in the local hidden gauge approach converts a photon into a ρ ⁰ meson and the other meson connects the photon with the proton. The picture is simple and has no free parameters, since the parameters of the theory have been constrained in the previous study of the vector-vector states. In a second step we introduce new elements, not present in the local hidden gauge approach, adapting the ρN N propagator to Regge phenomenology and introducing the ρ tensor coupling. We find that both the differential cross section as well as the t dependence of the cross section are in good agreement with the experimental results and provide support for the molecular picture of the f ₂(1270) resonance in the first baryonic reaction where it has been tested.