Bottomonium spectrum with a Dirac potential model in the momentum space
Abstract We study the bottomonium spectrum using a relativistic potential model in the momentum space. This model is based on a complete one gluon exchange interaction with a momentum dependent screening factor to account for the effects due to virtual pair creation that appear close to the decay th...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-8099-z |
| _version_ | 1818305387794792448 |
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| author | David Molina Maurizio De Sanctis César Fernández-Ramírez Elena Santopinto |
| author_facet | David Molina Maurizio De Sanctis César Fernández-Ramírez Elena Santopinto |
| author_sort | David Molina |
| collection | DOAJ |
| description | Abstract We study the bottomonium spectrum using a relativistic potential model in the momentum space. This model is based on a complete one gluon exchange interaction with a momentum dependent screening factor to account for the effects due to virtual pair creation that appear close to the decay thresholds. The overall model does not make use of nonrelativistic approximations. We fit well established bottomonium states below the open bottom threshold and predict the rest of the spectrum up to $$\approx 11200$$ ≈11200 MeV and $$J^{PC}=3^{--}$$ JPC=3-- . Uncertainties are treated rigorously and propagated in full to the parameters of the model using a Monte Carlo to identify if which deviations from experimental data can be absorbed into the statistical uncertainties of the models and which can be related to physics beyond the $$b\bar{b}$$ bb¯ picture, guiding future research. We get a good description of the spectrum, in particular the Belle measurement of the $$\eta _b(2S)$$ ηb(2S) state and the $$\varUpsilon (10860)$$ Υ(10860) and $$\chi _b(3P)$$ χb(3P) resonances. |
| first_indexed | 2024-12-13T06:25:47Z |
| format | Article |
| id | doaj.art-4d833bf1c6f8456783d2c5d4f12cf74b |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-13T06:25:47Z |
| publishDate | 2020-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-4d833bf1c6f8456783d2c5d4f12cf74b2022-12-21T23:56:44ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-06-0180611210.1140/epjc/s10052-020-8099-zBottomonium spectrum with a Dirac potential model in the momentum spaceDavid Molina0Maurizio De Sanctis1César Fernández-Ramírez2Elena Santopinto3Universidad Nacional de ColombiaUniversidad Nacional de ColombiaInstituto de Ciencias Nucleares, Universidad Nacional Autónoma de MéxicoINFN, Sezione di GenovaAbstract We study the bottomonium spectrum using a relativistic potential model in the momentum space. This model is based on a complete one gluon exchange interaction with a momentum dependent screening factor to account for the effects due to virtual pair creation that appear close to the decay thresholds. The overall model does not make use of nonrelativistic approximations. We fit well established bottomonium states below the open bottom threshold and predict the rest of the spectrum up to $$\approx 11200$$ ≈11200 MeV and $$J^{PC}=3^{--}$$ JPC=3-- . Uncertainties are treated rigorously and propagated in full to the parameters of the model using a Monte Carlo to identify if which deviations from experimental data can be absorbed into the statistical uncertainties of the models and which can be related to physics beyond the $$b\bar{b}$$ bb¯ picture, guiding future research. We get a good description of the spectrum, in particular the Belle measurement of the $$\eta _b(2S)$$ ηb(2S) state and the $$\varUpsilon (10860)$$ Υ(10860) and $$\chi _b(3P)$$ χb(3P) resonances.http://link.springer.com/article/10.1140/epjc/s10052-020-8099-z |
| spellingShingle | David Molina Maurizio De Sanctis César Fernández-Ramírez Elena Santopinto Bottomonium spectrum with a Dirac potential model in the momentum space European Physical Journal C: Particles and Fields |
| title | Bottomonium spectrum with a Dirac potential model in the momentum space |
| title_full | Bottomonium spectrum with a Dirac potential model in the momentum space |
| title_fullStr | Bottomonium spectrum with a Dirac potential model in the momentum space |
| title_full_unstemmed | Bottomonium spectrum with a Dirac potential model in the momentum space |
| title_short | Bottomonium spectrum with a Dirac potential model in the momentum space |
| title_sort | bottomonium spectrum with a dirac potential model in the momentum space |
| url | http://link.springer.com/article/10.1140/epjc/s10052-020-8099-z |
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