Interactions between vector mesons and dynamically generated resonances

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2018-12, Vol.78 (12), p.1-15, Article 988
• Main Authors: Du, Meng-Lin, Gülmez, Dilege, Guo, Feng-Kun, Meißner, Ulf-G., Wang, Qian
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Elementary Particles; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Mesons; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; String Theory; Vector mesons; Wave interaction
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-018-6475-8

The ρ ρ interaction and the corresponding dynamically generated bound states are revisited. We demonstrate that an improved unitarization method is necessary to study the pole structures of amplitudes outside the near-threshold region. In this work, we extend the study of the covariant ρ ρ scattering in a unitarized chiral theory to the S -wave interactions for the whole vector-meson nonet. We demonstrate that there are unphysical left-hand cuts in the on-shell factorization approach of the Bethe–Salpeter equation. This is in conflict with the correct analytic behavior and makes the so-obtained poles, corresponding to possible bound states or resonances, unreliable. To avoid this difficulty, we employ the first iterated solution of the N  /  D method and investigate the possible dynamically generated resonances from vector-vector interactions. A comparison with the results from the nonrelativistic calculation is provided as well.