학술논문
Dalitz analysis of $D^{0}\to K^{-}\pi^{+}\eta$ decays at Belle
Document Type
Working Paper
Author
Belle Collaboration; Chen, Y. Q.; Li, L. K.; Yan, W. B.; Adachi, I.; Aihara, H.; Said, S. Al; Asner, D. M.; Atmacan, H.; Aulchenko, V.; Aushev, T.; Ayad, R.; Babu, V.; Badhrees, I.; Bahinipati, S.; Behera, P.; Bennett, J.; Bhardwaj, V.; Bilka, T.; Biswal, J.; Bozek, A.; Bračko, M.; Browder, T. E.; Campajola, M.; Cao, L.; Červenkov, D.; Chang, M. -C.; Chekelian, V.; Chen, A.; Cheon, B. G.; Chilikin, K.; Cho, H. E.; Cho, K.; Choi, S. -K.; Choi, Y.; Choudhury, S.; Cinabro, D.; Cunliffe, S.; Dash, N.; De Nardo, G.; Di Capua, F.; Doležal, Z.; Dong, T. V.; Eidelman, S.; Epifanov, D.; Fast, J. E.; Ferber, T.; Ferlewicz, D.; Fulsom, B. G.; Garg, R.; Gaur, V.; Gabyshev, N.; Garmash, A.; Giri, A.; Goldenzweig, P.; Golob, B.; Hartbrich, O.; Hayasaka, K.; Hayashii, H.; Hou, W. -S.; Hsu, C. -L.; Inami, K.; Inguglia, G.; Ishikawa, A.; Itoh, R.; Iwasaki, M.; Iwasaki, Y.; Jacobs, W. W.; Jang, E. -J.; Jeon, H. B.; Jia, S.; Jin, Y.; Joo, K. K.; Kang, K. H.; Karyan, G.; Kawasaki, T.; Kim, D. Y.; Kim, S. H.; Kimmel, T. D.; Kinoshita, K.; Kodyš, P.; Korpar, S.; Križan, P.; Kroeger, R.; Krokovny, P.; Kuhr, T.; Kulasiri, R.; Kumar, R.; Kuzmin, A.; Kwon, Y. -J.; Lalwani, K.; Lange, J. S.; Lee, I. S.; Lee, S. C.; Li, Y. B.; Gioi, L. Li; Libby, J.; Lieret, K.; Liventsev, D.; MacNaughton, J.; MacQueen, C.; Masuda, M.; Matvienko, D.; Merola, M.; Miyabayashi, K.; Mizuk, R.; Mohanty, S.; Mussa, R.; Nakao, M.; Natkaniec, Z.; Nayak, M.; Nishida, S.; Ogawa, S.; Ono, H.; Oskin, P.; Pakhlov, P.; Pakhlova, G.; Pardi, S.; Park, H.; Patra, S.; Paul, S.; Pedlar, T. K.; Pestotnik, R.; Piilonen, L. E.; Podobnik, T.; Popov, V.; Prencipe, E.; Prim, M. T.; Rabusov, A.; Ritter, M.; Röhrken, M.; Rout, N.; Russo, G.; Sahoo, D.; Sanuki, T.; Savinov, V.; Schneider, O.; Schnell, G.; Schueler, J.; Schwanda, C.; Schwartz, A. J.; Seino, Y.; Senyo, K.; Sevior, M. E.; Shapkin, M.; Shebalin, V.; Shiu, J. -G.; Sokolov, A.; Solovieva, E.; Starič, M.; Stottler, Z. S.; Sumihama, M.; Sumiyoshi, T.; Sutcliffe, W.; Takizawa, M.; Tanida, K.; Tenchini, F.; Trabelsi, K.; Uchida, M.; Uglov, T.; Uno, S.; Urquijo, P.; Varner, G.; Vorobyev, V.; Wang, C. H.; Wang, E.; Wang, M. -Z.; Wang, P.; Watanabe, M.; Won, E.; Xu, X.; Yang, S. B.; Ye, H.; Yin, J. H.; Yuan, C. Z.; Yusa, Y.; Zhang, Z. P.; Zhilich, V.; Zhukova, V.; Zhulanov, V.
Source
Phys. Rev. D 102, 012002 (2020)
Subject
Language
Abstract
We present the results of the first Dalitz plot analysis of the decay $D^{0}\to K^{-}\pi^{+}\eta$. The analysis is performed on a data set corresponding to an integrated luminosity of 953 $\rm{fb}^{-1}$ collected by the Belle detector at the asymmetric-energy $e^{+}e^{-}$ KEKB collider. The Dalitz plot is well described by a combination of the six resonant decay channels $\bar{K}^{*}(892)^0\eta$, $K^{-}a_0(980)^+$, $K^{-}a_2(1320)^+$, $\bar{K}^{*}(1410)^0\eta$, $K^{*}(1680)^-\pi^{+}$ and $K_2^{*}(1980)^-\pi^{+}$, together with $K\pi$ and $K\eta$ S-wave components. The decays $K^{*}(1680)^{-}\to K^{-}\eta$ and $K_{2}^{*}(1980)^{-}\to K^{-}\eta$ are observed for the first time. We measure ratio of the branching fractions, $\frac{\mathcal{B}(D^{0}\to K^{-}\pi^{+}\eta)}{\mathcal{B}(D^{0}\to K^{-}\pi^{+})}=0.500\pm0.002{\rm(stat)}\pm0.020{\rm(syst)}\pm0.003{\rm (\mathcal{B}_{PDG})}$. Using the Dalitz fit result, the ratio $\frac{\mathcal{B}(K^{*}(1680)\to K\eta)}{\mathcal{B}(K^{*}(1680)\to K\pi)}$ is measured to be $0.11\pm0.02{\rm(stat)}^{+0.06}_{-0.04}{\rm(syst)}\pm0.04{\rm(\mathcal{B}_{\text{PDG}})}$; this is much lower than the theoretical expectations ($\approx1$) made under the assumption that $K^{*}(1680)$ is a pure $1^{3}D_1$ state. The product branching fraction $\mathcal{B}(D^0\to [K_2^{*}(1980)^-\to K^{-}\eta]\pi^{+})=(2.2^{+1.7}_{-1.9})\times10^{-4}$ is determined. In addition, the $\pi\eta^{\prime}$ contribution to the $a_0(980)^{\pm}$ resonance shape is confirmed with 10.1$\sigma$ statistical significance using the three-channel Flatt\'{e} model. We also measure $\mathcal{B}(D^0\to\bar{K}^{*}(892)^0\eta)=(1.41^{+0.13}_{-0.12})\%$. This is consistent with, and more precise than, the current world average $(1.02\pm0.30)\%$, deviates with a significance of more than $3\sigma$ from the theoretical predictions of (0.51-0.92)%.
Comment: 11 pages, 2 figures
Comment: 11 pages, 2 figures