Chinese Physics C > 2017, Vol. 41 > Issue(8): 083105 DOI: 10.1088/1674-1137/41/8/083105

S-wave resonance contributions to B_(s)⁰→η_c(2S)π⁺π^-in the perturbative QCD factorization approach

Ai-Jun Ma^1,,,
Ya Li^1,,,
Wen-Fei Wang^2,,,
Zhen-Jun Xiao^1,3,,

1.
Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing 210023, China
2.
Institute of Theoretical Physics, Shanxi University, Taiyuan, Shanxi 030006, China
3.
Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing 210023, China
4.
Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing 210023, China

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Abstract：
By employing the perturbative QCD (PQCD) factorization approach, we study the quasi-two-body B _(s) ⁰→ η _c(2 S)π ⁺π ^-decays, where the pion pair comes from the S-wave resonance f ₀( X). The Breit-Wigner formula for the f ₀(500) and f ₀(1500) resonances and the Flatté model for the f ₀(980) resonance are adopted to parameterize the time-like scalar form factors in the two-pion distribution amplitudes. As a comparison, Bugg's model is also used for the wide f ₀(500) in this work. For decay rates, we found the following PQCD predictions:(a) B(B _s ⁰→η _c(2 S) f ₀( X)[π ⁺π ^-] _s)= ≤ ft (2.67 _-1.08 ^+1.78)×10 ^-5when the contributions from f ₀(980) and f ₀(1500) are all taken into account; (b) B(B ⁰→η _c(2 S) f ₀(500)[π ⁺π ^-] _s)= ≤ ft (1.40 _-0.56 ^+0.92)×10 ^-6in the Breit-Wigner model and ≤ ft (1.53 ^+0.97 _-0.61ight)×10 ^-6in Bugg's model.
- PQCD factorization approach,
- two-pion distribution amplitudes,
- quasi-two-body decay

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Ai-Jun Ma, Ya Li, Wen-Fei Wang and Zhen-Jun Xiao. S-wave resonance contributions to B _(s) ⁰→η _c(2 S)π ⁺π ^-in the perturbative QCD factorization approach[J]. Chinese Physics C, 2017, 41(8): 083105. doi: 10.1088/1674-1137/41/8/083105

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沈阳化工大学材料科学与工程学院沈阳 110142

S-wave resonance contributions to B_(s)⁰→η_c(2S)π⁺π^-in the perturbative QCD factorization approach

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