Interactions between vector mesons and dynamically generated resonances
Abstract The $$\rho \rho $$ 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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6475-8 |
| _version_ | 1819110170580484096 |
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| author | Meng-Lin Du Dilege Gülmez Feng-Kun Guo Ulf-G. Meißner Qian Wang |
| author_facet | Meng-Lin Du Dilege Gülmez Feng-Kun Guo Ulf-G. Meißner Qian Wang |
| author_sort | Meng-Lin Du |
| collection | DOAJ |
| description | Abstract The $$\rho \rho $$ 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 $$\rho \rho $$ 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. |
| first_indexed | 2024-12-22T03:37:28Z |
| format | Article |
| id | doaj.art-6e72399dc0ce417ea51d982f984cbfde |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-22T03:37:28Z |
| publishDate | 2018-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-6e72399dc0ce417ea51d982f984cbfde2022-12-21T18:40:21ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-11-01781211510.1140/epjc/s10052-018-6475-8Interactions between vector mesons and dynamically generated resonancesMeng-Lin Du0Dilege Gülmez1Feng-Kun Guo2Ulf-G. Meißner3Qian Wang4Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität BonnHelmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität BonnCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesHelmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität BonnHelmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität BonnAbstract The $$\rho \rho $$ 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 $$\rho \rho $$ 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.http://link.springer.com/article/10.1140/epjc/s10052-018-6475-8 |
| spellingShingle | Meng-Lin Du Dilege Gülmez Feng-Kun Guo Ulf-G. Meißner Qian Wang Interactions between vector mesons and dynamically generated resonances European Physical Journal C: Particles and Fields |
| title | Interactions between vector mesons and dynamically generated resonances |
| title_full | Interactions between vector mesons and dynamically generated resonances |
| title_fullStr | Interactions between vector mesons and dynamically generated resonances |
| title_full_unstemmed | Interactions between vector mesons and dynamically generated resonances |
| title_short | Interactions between vector mesons and dynamically generated resonances |
| title_sort | interactions between vector mesons and dynamically generated resonances |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6475-8 |
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