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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Main Authors: YingZhao Jiang, Zhan Sun
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
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.
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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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