Abstract
In this work, we calculate the branching ratios and CP violations of the B^{0}_{s}\rightarrow a_{0}(980)a_{0}(980) decay modes with both charged and neutral a_{0}(980) mesons and B^{0}_{s}\rightarrow f_{0}(980)(f_{0}(500))f_{0}(980)(f_{0}(500)) for the first time in the pQCD approach. Considering the recent observation of the BESIII collaboration that provide a direct information about the constituent two-quark components in the corresponding a_{0}(980) wave functions, we regard the scalar mesons a_{0}(980), f_{0}(980) and f_{0}(500) as the q\bar{q} quark component in our present work, and then make predictions of these decay modes. The branching ratios of our calculations are at the order of the 10^{-4}\sim10^{-6} when we consider the mixing scheme. We also calculate the CP violation parameters of these decay modes. The relatively large branching ratios make it easily to be tested by the running LHC-b experiments, and it can help us to understand both the inner properties and the QCD behavior of the scalar meson.
Highlights
Since the first scalar meson f0ð980Þ was observed by the Belle collaboration in the charged decay mode BÆ → KÆf0ð980Þ → KÆπ∓πÆ [1], and afterwards confirmed by BABAR [2], a lot of other scalar mesons have been discovered in the experiment successively
Motivated by the uncertain inner structure of the scalar mesons and very few works about the B → SS decays (S denote the scalar mesons) to be studied in these general factorization approaches, we explore the branching ratios and CP-violating asymmetries of decay modes B 0s → a0ð980Þa0ð980Þ and B 0s → f0ð980; 500Þf0ð980; 500Þ1 in perturbative QCD approach within the traditional twoquark model for the first time
Basing on the recently experimental results which provide a direct information about the constituent two-quark components in the corresponding a0 wave function and the theoretical presentations of the scalar meson in scenario 1, we calculate the branching ratios and CP violation parameters of the decay B 0s → a0a0 for both charged and neutral a0 states and the decay B 0s → f0ðσÞf0ðσÞ
Summary
Since the first scalar meson f0ð980Þ was observed by the Belle collaboration in the charged decay mode BÆ → KÆf0ð980Þ → KÆπ∓πÆ [1], and afterwards confirmed by BABAR [2], a lot of other scalar mesons have been discovered in the experiment successively. Dd Þ; f0ð980Þ 1⁄4 ss; f0ð500Þ p1ffiffi 2 ðuuþ dd Þ; ð1Þ (2) Scenario 2, the scalar mesons in the second nonet are regarded as the ground states (qq ), and scalar mesons with mass between 2.0–2.3 GeV are first excited states. This scenario indicates that the scalars below or near 1 GeV are four-quark bound states, while other scalars consist of qqin scenario 1. We treat the scalar mesons a0ð980Þ, f0ð980Þ as the component of qqin scenario 1, and make the theoretical calculations within the perturbative QCD approach. Some formulas what we used in our calculation are collected in the Appendix
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