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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

Authors :
YingZhao Jiang
Zhan Sun
Source :
European Physical Journal C: Particles and Fields, Vol 78, Iss 11, Pp 1-5 (2018)
Publication Year :
2018
Publisher :
SpringerOpen, 2018.

Abstract

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.

Details

Language :
English
ISSN :
14346044 and 14346052
Volume :
78
Issue :
11
Database :
Directory of Open Access Journals
Journal :
European Physical Journal C: Particles and Fields
Publication Type :
Academic Journal
Accession number :
edsdoj.0ebe6c79f88743f4a88d451a24b7b041
Document Type :
article
Full Text :
https://doi.org/10.1140/epjc/s10052-018-6392-x