2005Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Searches for CP violation and ππ S wave in the Dalitz-plot analysis of D0→π+π−π0

D. Cronin-Hennessy, K. Y. Gao, D. T. Gong, J. Hietala, Y. Kubota, T. Klein, B. W. Lang, S. Z. Li, R. Poling, A. W. Scott, A. Smith, S. Dobbs, Z. Metreveli, K. K. Seth, A. Tomaradze, P. Zweber, J. Ernst, A. H. Mahmood, K. Arms, K. K. Gan, H. Severini, D. M. Asner, S. Dytman, W. A. Love, S. Mehrabyan, J. Mueller, V. Savinov, Z. Li, A. Lopez, H. Méndez, J. Ramirez, G. S. Huang, D. H. Miller, V. Pavlunin, B. Sanghi, I. P. J. Shipsey, G. S. Adams, M. Chasse, M. Cravey, J. P. Cummings, I. Danko, J. Napolitano, Q. He, H. Muramatsu, C. S. Park, W. Park, E. H. Thorndike, T. E. Coan, Y. S. Gao, F. Liu, R. Stroynowski, M. Artuso, C. Boulahouache, S. Blusk, J. Butt, E. Dambasuren, O. Dorjkhaidav, J. Li, N. Menaa, R. Mountain, R. Nandakumar, K. Randrianarivony, R. Redjimi, R. Sia, T. Skwarnicki, S. Stone, J. C. Wang, K. Zhang, S. E. Csorna, G. Bonvicini, D. Cinabro, M. Dubrovin, A. Bornheim, S. P. Pappas, A. J. Weinstein, R. A. Briere, G. P. Chen, J. Chen, T. Ferguson, G. Tatishvili, H. Vogel, M. E. Watkins, J. L. Rosner, N. E. Adam, J. Alexander, K. Berkelman, D. G. Cassel, V. Credé, J. E. Duboscq, K. M. Ecklund, R. Ehrlich, L. Fields, R. S. Galik, L. Gibbons, B. Gittelman, R. Gray, S. W. Gray, D. L. Hartill, B. K. Heltsley, D. Hertz, L. Hsu, C. D. Jones, J. Kandaswamy, D. L. Kreinick, В. Е. Кузнецов, H. Mahlke-Krüger, T. O. Meyer, P. U. E. Onyisi, J. R. Patterson, D. Peterson, J. Pivarski, D. Riley, A. Rýd, A. J. Sadoff, H. Schwarthoff, X. Shi, M. R. Shepherd, S. Stroiney, W. Sun, D. Urner, T. Wilksen, M. Weinberger, S. B. Athar, P. Avery, L. Breva-Newell, R. Patel, V. Potlia, H. Stoeck, J. Yelton, P. Rubin, C. Cawlfield, B. I. Eisenstein, G. D. Gollin, I. Karliner, D. Kim, N. Lowrey, P. Naik, C. Plager, C. Sedlack, M. Selen, J. S. Williams, J. Wiss, K. W. Edwards, D. Besson, T. K. Pedlar

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Abstract

In ${e}^{+}{e}^{\ensuremath{-}}$ collisions recorded using the CLEO II.V detector we have studied the Cabibbo suppressed decay of ${D}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$ with the initial flavor of the ${D}^{0}$ tagged by the decay ${D}^{*+}\ensuremath{\rightarrow}{D}^{0}{\ensuremath{\pi}}^{+}$. We use the Dalitz-plot analysis technique to measure the resonant substructure in this final state and observe $\ensuremath{\rho}\ensuremath{\pi}$ and nonresonant contributions by fitting for their amplitudes and relative phases. We describe the $\ensuremath{\pi}\ensuremath{\pi}$ $S$ wave with a $K$-matrix formalism and limit this contribution to the rate to be $<2.5%@95%$ confidence level, in contrast to the large rate observed in ${D}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ decay. Using the amplitudes and phases from this analysis, we calculate an integrated $CP$ asymmetry of ${0.01}_{\ensuremath{-}0.07}^{+0.09}\ifmmode\pm\else\textpm\fi{}0.05$.

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In ${e}^{+}{e}^{\ensuremath{-}}$ collisions recorded using the CLEO II.V detector we have studied the Cabibbo suppressed decay of ${D}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$ with the initial flavor of the ${D}^{0}$ tagged by the decay ${D}^{*+}\ensuremath{\rightarrow}{D}^{0}{\ensuremath{\pi}}^{+}$. We use the Dalitz-plot analysis technique to measure the resonant substructure in this final state and observe $\ensuremath{\rho}\ensuremath{\pi}$ and nonresonant contributions by fitting for their amplitudes and relative phases. We describe the $\ensuremath{\pi}\ensuremath{\pi}$ $S$ wave with a $K$-matrix formalism and limit this contribution to the rate to be $<2.5%@95%$ confidence level, in contrast to the large rate observed in ${D}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ decay. Using the amplitudes and phases from this analysis, we calculate an integrated $CP$ asymmetry of ${0.01}_{\ensuremath{-}0.07}^{+0.09}\ifmmode\pm\else\textpm\fi{}0.05$.

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Available abstract

In ${e}^{+}{e}^{\ensuremath{-}}$ collisions recorded using the CLEO II.V detector we have studied the Cabibbo suppressed decay of ${D}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$ with the initial flavor of the ${D}^{0}$ tagged by the decay ${D}^{*+}\ensuremath{\rightarrow}{D}^{0}{\ensuremath{\pi}}^{+}$. We use the Dalitz-plot analysis technique to measure the resonant substructure in this final state and observe $\ensuremath{\rho}\ensuremath{\pi}$ and nonresonant contributions by fitting for their amplitudes and relative phases. We describe the $\ensuremath{\pi}\ensuremath{\pi}$ $S$ wave with a $K$-matrix formalism and limit this contribution to the rate to be $<2.5%@95%$ confidence level, in contrast to the large rate observed in ${D}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ decay. Using the amplitudes and phases from this analysis, we calculate an integrated $CP$ asymmetry of ${0.01}_{\ensuremath{-}0.07}^{+0.09}\ifmmode\pm\else\textpm\fi{}0.05$.

Key concepts: Physics, Dalitz plot, Particle physics, Amplitude, Pi, Formalism (music), Nuclear physics, Meson

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