arXiv 1104.49622011-04hep-ph

$D^0\to K^0 K^-π^+$ AND $D^0\to\ok K^+π^-$ Dalitz图中的相对相位

Relative Phases in $D^0\to K^0 K^-π^+$ AND $D^0\to\ok K^+π^-$ Dalitz Plots

Bhubanjyoti Bhattacharya, Jonathan L. Rosner

备注：: 7 pages, 1 figure; Submitted to Phys. Rev. D

摘要：

过程$D^0\to K^0 K^-π^+$和$D^0\to\ok K^+π^-$涉及中间矢量共振，其振幅和相位通过味SU（3）对称性彼此相关。仔细观察这两个过程的Dalitz图，有望使我们理解味SU（3）对称性在研究粲衰变中的有用性。在目前的工作中，我们使用的数据从BaBar协作的出版物在2002年。我们的目标是再现Dalitz图振幅和相位假设味SU（3）对称性，并将它们与实验进行比较。虽然SU（3）拟合能够解释衰变$D^0 \to K^{*-}K^+$和$D^0 \to K^{*+}K^-$振幅的相对大小，但目前的BaBar样本（基于仅22 fb $^{-1}$的积分光度）仅提供衰变$D^0\to K^{*0}\ok$和$D^0 \to \oks K^0$的1-$2 σ$证据，其大小和相位与预测不一致。CLEO的合作有可能利用具有更好统计数据的数据进行分析，而基于全部BaBar样本（2002年数值的20倍以上）的分析应能最终解决这一问题。

英文摘要：

The processes $D^0\to K^0 K^-π^+$ and $D^0\to\ok K^+π^-$ involve intermediate vector resonances whose amplitudes and phases are related to each other via flavor SU(3) symmetry. A closer look at Dalitz plots for these two processes is expected to shed light on our understanding of the usefulness of flavor SU(3) symmetry in studying charm decays. In the present work we use data from the BaBar Collaboration's publication in 2002. The goal is to reproduce Dalitz plot amplitudes and phases assuming flavor SU(3) symmetry and compare them with experiment. While an SU(3) fit is able to account for the relative magnitudes of the amplitudes for the decays $D^0 \to K^{*-}K^+$ and $D^0 \to K^{*+}K^-$, the current BaBar sample (based on an integrated luminosity of only 22 fb$^{-1}$) provides only 1--$2 σ$ evidence for the decays $D^0\to K^{*0}\ok$ and $D^0 \to \oks K^0$, with magnitudes and phases not in accord with predictions. The CLEO collaboration could potentially produce an analysis using data with better statistics, and an analysis based on the full BaBar sample (more than 20 times the 2002 value) should definitively settle the question.

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