论文标题

调查$ b_s $三体衰减到扰动QCD方法的标量介子

Investigating $B_s$ three-body decays to scalar mesons in perturbative QCD approach

论文作者

Yang, Hong, Yu, Xian-Qiao

论文摘要

在这项工作中,我们研究B^{0} _ {s} \ rightArrow a_ {0}(980)[\ rightArrow k \ overline {k}的分支率π^{+}π^{ - },k^{+} k^{ - }] f_ {0}(980)和b^{0} _ {s} \ rightarrow f_ {0}(500)方法,其中标量介子a_ {0}(980),f_ {0}(980)和f_ {0}(500)被视为最低的lliesing q \ ediming {q}状态。在su(3)nonet中,存在标量f_ {0}(980)和f_ {0}(500)之间的混合,因此我们考虑了计算中的混合效应以获得更可靠的数据,以及在[15^{\ circs},82^{\ cipp},\ cource} {\ cimp}和[\ cipp}和[105]和[105^],[15^{\ circt},[15^{\ circt],[105^],[105^},[105^},[105^] 171^{\ circ}]。基于Isospin对称性,我们还估计了B^{0} _ {s} \ rightarrow f_ {0}(980)[\rightArrowπ^π^{0}π^{0}] f_ {0}] f_ {0}(500)[\rightarrowπ^{0}π^{0}] f_ {0}(500)衰减。 b^{0} _ {s} \ rightArrow a_ {0}(980)[\ rightArow k \ overline {k},πη] a_ {0}(980)衰减的分支比\rightArrowππ,k \ overline {k}] f_ {0}(980)和b^{0} _ {s} \ rightArrow f_ {0}(500)[\rightArrowπππ] f_ {0}(500)腐烂的顺序均可达到10^}}^ - 6}}^ - 6}}^ - 6}} LHCB和Belle II实验希望。

In this work, we study the branching ratios of B^{0}_{s}\rightarrow a_{0}(980)[ \rightarrow K\overline{K}, πη]a_{0}(980), B^{0}_{s} \rightarrow f_{0}(980)[ \rightarrow π^{+}π^{-}, K^{+}K^{-}]f_{0}(980) and B^{0}_{s} \rightarrow f_{0}(500)[ \rightarrow π^{+}π^{-}]f_{0}(500) decays in the pQCD approach, in which the scalar mesons a_{0}(980), f_{0}(980) and f_{0}(500) are regarded as the lowest-lying q\overline{q} state. In the SU(3) nonet, there exists a mixing between the scalars f_{0}(980) and f_{0}(500), so we have considered the mixing effect in our calculations to obtain more reliable data, and the mixing angle θis set at [15^{\circ}, 82^{\circ}] and [105^{\circ}, 171^{\circ}]. Based on the isospin symmetry, we also estimate the branching ratios of the B^{0}_{s} \rightarrow f_{0}(980)[ \rightarrow π^{0}π^{0}]f_{0}(980) and B^{0}_{s} \rightarrow f_{0}(500)[ \rightarrow π^{0}π^{0}]f_{0}(500) decays. The branching ratios of the B^{0}_{s}\rightarrow a_{0}(980)[ \rightarrow K\overline{K}, πη]a_{0}(980) decays are much small, while the results of the B^{0}_{s} \rightarrow f_{0}(980)[ \rightarrow ππ, K\overline{K}]f_{0}(980) and B^{0}_{s} \rightarrow f_{0}(500)[ \rightarrow ππ]f_{0}(500) decays are at the order of 10^{-6}\sim10^{-5}, which can be tested in the LHCb and Belle II experiments, hopefully.

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