Direct pion emission in D*+→D+π decays

  • The QCD multipole expansion (QCDME) is based on quantum field theory and has been extensively applied to study transitions among Υ and ψ family members. As it refers to non-perturbative QCD, however, it has only a certain application range. Even though it successfully explains the transition data among members of the Υ (ψ) family, as Eichten indicates, beyond the production threshold of mediate states it fails to match data by several orders of magnitude. In this work, by studying a simple decay mode D*→D+π0, where a pion may be emitted before D* transitions into D, we analyze the contribution of QCD multipole expansion. As the Dπ portal is open, the dominant contribution is an OZI-allowed process where a light quark-pair is excited out from vacuum, and its contribution can be evaluated by the 3P0 model. Since direct pion emission is OZI-suppressed and violates isospin conservation, its contribution must be much smaller than the dominant one. By a careful calculation, we estimate that the QCDME contribution should be 3-4 orders smaller than the dominant contribution and this result can offer a quantitative interpretation for Eichten's statement.
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Xing-Dao Guo, Xue-Wen Liu, Hong-Wei Ke and Xue-Qian Li. Direct pion emission in D*+→D+π decays[J]. Chinese Physics C, 2016, 40(7): 073103. doi: 10.1088/1674-1137/40/7/073103
Xing-Dao Guo, Xue-Wen Liu, Hong-Wei Ke and Xue-Qian Li. Direct pion emission in D*+→D+π decays[J]. Chinese Physics C, 2016, 40(7): 073103.  doi: 10.1088/1674-1137/40/7/073103 shu
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Received: 2015-11-17
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    Supported by National Natural Science Foundation of China (11375128)

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Direct pion emission in D*+→D+π decays

    Corresponding author: Xing-Dao Guo,
    Corresponding author: Xue-Wen Liu,
    Corresponding author: Hong-Wei Ke,
    Corresponding author: Xue-Qian Li,
Fund Project:  Supported by National Natural Science Foundation of China (11375128)

Abstract: The QCD multipole expansion (QCDME) is based on quantum field theory and has been extensively applied to study transitions among Υ and ψ family members. As it refers to non-perturbative QCD, however, it has only a certain application range. Even though it successfully explains the transition data among members of the Υ (ψ) family, as Eichten indicates, beyond the production threshold of mediate states it fails to match data by several orders of magnitude. In this work, by studying a simple decay mode D*→D+π0, where a pion may be emitted before D* transitions into D, we analyze the contribution of QCD multipole expansion. As the Dπ portal is open, the dominant contribution is an OZI-allowed process where a light quark-pair is excited out from vacuum, and its contribution can be evaluated by the 3P0 model. Since direct pion emission is OZI-suppressed and violates isospin conservation, its contribution must be much smaller than the dominant one. By a careful calculation, we estimate that the QCDME contribution should be 3-4 orders smaller than the dominant contribution and this result can offer a quantitative interpretation for Eichten's statement.

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