Further studies on the exclusive productions of $$J/\psi +\chi _{cJ}$$ J/ψ+χcJ ($$J=0,1,2$$ J=0,1,2 ) via $$e^+e^-$$ e+e- annihilation at the B factories
Abstract By including the interference effect between the QCD and the QED diagrams, we carry out a complete analysis on the exclusive productions of $$e^+e^- \rightarrow J/\psi +\chi _{cJ}$$ e+e-→J/ψ+χcJ ($$J=0,1,2$$ J=0,1,2 ) at the B factories with $$\sqrt{s}=10.6$$ s=10.6 GeV at the next-to-leadi...
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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/s10052-018-6392-x |
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author | YingZhao Jiang Zhan Sun |
author_facet | YingZhao Jiang Zhan Sun |
author_sort | YingZhao Jiang |
collection | DOAJ |
description | Abstract By including the interference effect between the QCD and the QED diagrams, we carry out a complete analysis on the exclusive productions of $$e^+e^- \rightarrow J/\psi +\chi _{cJ}$$ e+e-→J/ψ+χcJ ($$J=0,1,2$$ J=0,1,2 ) at the B factories with $$\sqrt{s}=10.6$$ s=10.6 GeV at the next-to-leading-order (NLO) level in $$\alpha _s$$ αs , within the nonrelativistic QCD framework. It is found that the $${\mathcal {O}} (\alpha ^3\alpha _s)$$ O(α3αs) -order terms that represent the tree-level interference are comparable with the usual NLO QCD corrections, especially for the $$\chi _{c1}$$ χc1 and $$\chi _{c2}$$ χc2 cases. To explore the effect of the higher-order terms, namely $${\mathcal {O}} (\alpha ^3\alpha _s^2)$$ O(α3αs2) , we perform the QCD corrections to these $${\mathcal {O}} (\alpha ^3\alpha _s)$$ O(α3αs) -order terms for the first time, which are found to be able to significantly influence the $${\mathcal {O}} (\alpha ^3\alpha _s)$$ O(α3αs) -order results. In particular, in the case of $$\chi _{c1}$$ χc1 and $$\chi _{c2}$$ χc2 , the newly calculated $${\mathcal {O}} (\alpha ^3\alpha _s^2)$$ O(α3αs2) -order terms can to a large extent counteract the $${\mathcal {O}} (\alpha ^3\alpha _s)$$ O(α3αs) contributions, evidently indicating the indispensability of the corrections. In addition, we find that, as the collision energy rises, the percentage of the interference effect in the total cross section will increase rapidly, especially for the $$\chi _{c1}$$ χc1 case. |
first_indexed | 2024-04-12T08:17:18Z |
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institution | Directory Open Access Journal |
issn | 1434-6044 1434-6052 |
language | English |
last_indexed | 2024-04-12T08:17:18Z |
publishDate | 2018-11-01 |
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series | European Physical Journal C: Particles and Fields |
spelling | doaj.art-0ebe6c79f88743f4a88d451a24b7b0412022-12-22T03:40:44ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-11-0178111510.1140/epjc/s10052-018-6392-xFurther studies on the exclusive productions of $$J/\psi +\chi _{cJ}$$ J/ψ+χcJ ($$J=0,1,2$$ J=0,1,2 ) via $$e^+e^-$$ e+e- annihilation at the B factoriesYingZhao Jiang0Zhan Sun1Department of Physics, Guizhou Minzu UniversityDepartment of Physics, Guizhou Minzu UniversityAbstract By including the interference effect between the QCD and the QED diagrams, we carry out a complete analysis on the exclusive productions of $$e^+e^- \rightarrow J/\psi +\chi _{cJ}$$ e+e-→J/ψ+χcJ ($$J=0,1,2$$ J=0,1,2 ) at the B factories with $$\sqrt{s}=10.6$$ s=10.6 GeV at the next-to-leading-order (NLO) level in $$\alpha _s$$ αs , within the nonrelativistic QCD framework. It is found that the $${\mathcal {O}} (\alpha ^3\alpha _s)$$ O(α3αs) -order terms that represent the tree-level interference are comparable with the usual NLO QCD corrections, especially for the $$\chi _{c1}$$ χc1 and $$\chi _{c2}$$ χc2 cases. To explore the effect of the higher-order terms, namely $${\mathcal {O}} (\alpha ^3\alpha _s^2)$$ O(α3αs2) , we perform the QCD corrections to these $${\mathcal {O}} (\alpha ^3\alpha _s)$$ O(α3αs) -order terms for the first time, which are found to be able to significantly influence the $${\mathcal {O}} (\alpha ^3\alpha _s)$$ O(α3αs) -order results. In particular, in the case of $$\chi _{c1}$$ χc1 and $$\chi _{c2}$$ χc2 , the newly calculated $${\mathcal {O}} (\alpha ^3\alpha _s^2)$$ O(α3αs2) -order terms can to a large extent counteract the $${\mathcal {O}} (\alpha ^3\alpha _s)$$ O(α3αs) contributions, evidently indicating the indispensability of the corrections. In addition, we find that, as the collision energy rises, the percentage of the interference effect in the total cross section will increase rapidly, especially for the $$\chi _{c1}$$ χc1 case.http://link.springer.com/article/10.1140/epjc/s10052-018-6392-x |
spellingShingle | YingZhao Jiang Zhan Sun Further studies on the exclusive productions of $$J/\psi +\chi _{cJ}$$ J/ψ+χcJ ($$J=0,1,2$$ J=0,1,2 ) via $$e^+e^-$$ e+e- annihilation at the B factories European Physical Journal C: Particles and Fields |
title | Further studies on the exclusive productions of $$J/\psi +\chi _{cJ}$$ J/ψ+χcJ ($$J=0,1,2$$ J=0,1,2 ) via $$e^+e^-$$ e+e- annihilation at the B factories |
title_full | Further studies on the exclusive productions of $$J/\psi +\chi _{cJ}$$ J/ψ+χcJ ($$J=0,1,2$$ J=0,1,2 ) via $$e^+e^-$$ e+e- annihilation at the B factories |
title_fullStr | Further studies on the exclusive productions of $$J/\psi +\chi _{cJ}$$ J/ψ+χcJ ($$J=0,1,2$$ J=0,1,2 ) via $$e^+e^-$$ e+e- annihilation at the B factories |
title_full_unstemmed | Further studies on the exclusive productions of $$J/\psi +\chi _{cJ}$$ J/ψ+χcJ ($$J=0,1,2$$ J=0,1,2 ) via $$e^+e^-$$ e+e- annihilation at the B factories |
title_short | Further studies on the exclusive productions of $$J/\psi +\chi _{cJ}$$ J/ψ+χcJ ($$J=0,1,2$$ J=0,1,2 ) via $$e^+e^-$$ e+e- annihilation at the B factories |
title_sort | further studies on the exclusive productions of j psi chi cj j ψ χcj j 0 1 2 j 0 1 2 via e e e e annihilation at the b factories |
url | http://link.springer.com/article/10.1140/epjc/s10052-018-6392-x |
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