Interactions between vector mesons and dynamically generated resonances

Du, Meng-Lin (Aff1, 0000 0001 2240 3300, Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany) ; Gülmez, Dilege (Aff1, 0000 0001 2240 3300, Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany) ; Guo, Feng-Kun (Aff2, 0000000119573309, CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, China) (Aff3, 0000 0004 1797 8419, School of Physical Sciences, University of Chinese Academy of Sciences, 100049, Beijing, China) ; Meißner, Ulf-G. (Aff1, 0000 0001 2240 3300, Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany) (Aff2, 0000000119573309, CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, China) (Aff4, 0000 0001 2297 375X, Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425, Jülich, Germany) (Aff5, 0000 0001 2034 6082, Tbilisi State University, 0186, Tbilisi, Georgia) ; Wang, Qian (Aff1, 0000 0001 2240 3300, Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany)

01 December 2018

Abstract: The ρρ 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 ρρ 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.


Published in: EPJC 78 (2018) 988
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-018-6475-8
License: CC-BY-3.0



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