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arXiv · 1808.09664

Interactions between vector mesons and dynamically generated resonances

Meng-Lin Du·Dilege Gülmez·Feng-Kun Guo·Ulf-G. Meißner·Qian Wang
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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.

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Meng-Lin Du, Dilege Gülmez, Feng-Kun Guo, Ulf-G. Meißner, Qian Wang. 2018-12-04. Interactions between vector mesons and dynamically generated resonances. https://doi.org/10.1140/epjc%2Fs10052-018-6475-8

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