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Observation of $D^+ → K^{+} η^{(\prime)}$ and Search for CP Violation in $D^+ → π^+ η^{(\prime)}$ Decays

Journal article published in 2011 by B. D. Yabsley, Y. Yamashita, M. Yamauchi, Z. P. Zhang, Zhilich, Zhulanov, A. Zupanc, O. Zyukova, I. Adachi, H. Aihara, K. Arinstein, D. M. Asner, T. Aushev, A. M. Bakich, E. Barberio and other authors.
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We report the first observation of the doubly Cabibbo-suppressed decays $D^+ → K^+ η^{(\prime)}$ using a 791 fb$^{-1}$ data sample collected with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ collider. The ratio of the branching fractions of doubly Cabibbo-suppressed relative to singly Cabibbo-suppressed $D^+ → π^+ η^{(\prime)}$ decays are $\mathcal{B}(D^+ → K^+ η)/\mathcal{B}(D^+ → π^+ η)$ = (3.06 $±$ 0.43 $±$ 0.14)% and $\mathcal{B}(D^+ → K^+ η')/\mathcal{B}(D^+ → π^+ η')$ = (3.77 $±$ 0.39 $±$ 0.10)%. From these, we find that the relative final-state phase difference between the tree and annihilation amplitudes in $D^+$ decays, $δ_{TA}$, is (72 $±$ 9)$^∘$ or (288 $±$ 9)$^∘$. We also report the most precise measurements of CP asymmetries to date: $A_{CP}^{D^+ → π^+ η}$ = (+1.74 $±$ 1.13 $±$ 0.19)% and $A_{CP}^{D^+ → π^+ η'}$ = ($-$0.12 $±$ 1.12 $±$ 0.17)%. ; Comment: 6 pages, 2 figures, 3 tables. Published in PRL