Direct pion emission in D<sup>*+</sup>&rarr;D<sup>+</sup>&pi; decays

Xing-Dao Guo; Xue-Wen Liu; Hong-Wei Ke; Xue-Qian Li

doi:10.1088/1674-1137/40/7/073103

Chinese Physics C> 2016, Vol. 40> Issue(7) : 073103 DOI: 10.1088/1674-1137/40/7/073103

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

Xing-Dao Guo ^1,, ,
Xue-Wen Liu ^1,, ,
Hong-Wei Ke ^2,, ,
Xue-Qian Li ^1,,

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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.
- QCDME ,
- D* decay ,
- 3P0 model

References

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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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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,

Received Date: 2015-11-17

Available Online: 2016-07-05

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

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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,

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

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通讯作者: 陈斌, bchen63@163.com

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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,

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

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