Details

Autor(en) / Beteiligte

• Rui, Zhou
• Li, Ya
• Wang, Wen-Fei

Titel

The S-wave resonance contributions in the $$B^{0}_{s}$$ B s 0 decays into $$\psi (2S,3S)$$ ψ ( 2 S , 3 S ) plus pion pair

Ist Teil von

• The European physical journal. C, Particles and fields, 2017-03, Vol.77 (3), p.1-6, Article 199

Ort / Verlag

SpringerOpen

Erscheinungsjahr

2017

Link zum Volltext

Quelle

Electronic Journals Library

Beschreibungen/Notizen

• Abstract The three-body decays $$B^0_s \rightarrow \psi (2S,3S) \pi ^+ \pi ^-$$ B s 0 → ψ ( 2 S , 3 S ) π + π - are studied based on the perturbative QCD approach. With the help of the nonperturbative two-pion distribution amplitudes, the analysis is simplified into the quasi-two-body processes. Besides the traditional factorizable and nonfactorizable diagrams at the leading order, the next-to-leading order vertex corrections are also included to cancel the scale dependence. The $$f_0(980)$$ f 0 ( 980 ) , $$f_0(1500)$$ f 0 ( 1500 ) resonance contributions as well as the nonresonant contributions are taken into account using the presently known $$\pi \pi $$ π π time-like scalar form factor for the $$s\bar{s}$$ s s ¯ component. It is found that the predicted $$B^0_s \rightarrow \psi (2S) \pi ^+ \pi ^-$$ B s 0 → ψ ( 2 S ) π + π - decay spectra in the pion pair invariant mass shows a similar behavior as the experiment. The calculated S-wave contributions to the branching ratio of $$B^0_s \rightarrow \psi (2S) \pi ^+ \pi ^-$$ B s 0 → ψ ( 2 S ) π + π - is $$6.0\times 10^{-5}$$ 6.0 × 10 - 5 , which is in agreement with the LHCb data $$\mathcal {B}(B^0_s \rightarrow \psi (2S) \pi ^+ \pi ^-)=(7.2\pm 1.2)\times 10^{-5} $$ B ( B s 0 → ψ ( 2 S ) π + π - ) = ( 7.2 ± 1.2 ) × 10 - 5 within errors. The estimate of $$\mathcal {B}(B^0_s \rightarrow \psi (3S) \pi ^+ \pi ^-)$$ B ( B s 0 → ψ ( 3 S ) π + π - ) can reach the order of $$10^{-5}$$ 10 - 5 , pending the corresponding measurements.