APS » Phys. Rev. D » Volume 73 » Issue 3

E. M. Aitala,⁹ S. Amato,¹ J. C. Anjos,¹ J. A. Appel,⁵ D. Ashery,¹⁴ S. Banerjee,⁵ I. Bediaga,¹ G. Blaylock,⁸ S. B. Bracker,¹⁵ P. R. Burchat,¹³ R. A. Burnstein,⁶ T. Carter,⁵ H. S. Carvalho,¹ N. K. Copty,¹² L. M. Cremaldi,⁹ C. Darling,¹⁸ K. Denisenko,⁵ S. Devmal,³ A. Fernandez,¹¹ G. F. Fox,¹² P. Gagnon,² C. Gobel,¹ K. Gounder,⁹ A. M. Halling,⁵ G. Herrera,⁴ G. Hurvits,¹⁴ C. James,⁵ P. A. Kasper,⁶ S. Kwan,⁵ D. C. Langs,¹² J. Leslie,² B. Lundberg,⁵ J. Magnin,¹ A. Massafferri,¹ S. MayTal-Beck,¹⁴ B. Meadows,³ J. R. T. de Mello Neto,¹ D. Mihalcea,⁷ R. H. Milburn,¹⁶ J. M. de Miranda,¹ A. Napier,¹⁶ A. Nguyen,⁷ A. B. d'Oliveira,^3,11 K. O'Shaughnessy,² K. C. Peng,⁶ L. P. Perera,³ M. V. Purohit,¹² B. Quinn,⁹ S. Radeztsky,¹⁷ A. Rafatian,⁹ N. W. Reay,⁷ J. J. Reidy,⁹ A. C. dos Reis,¹ H. A. Rubin,⁶ D. A. Sanders,⁹ A. K. S. Santha,³ A. F. S. Santoro,¹ A. J. Schwartz,³ M. Sheaff,¹⁷ R. A. Sidwell,⁷ A. J. Slaughter,¹⁸ M. D. Sokoloff,³ J. Solano,¹ N. R. Stanton,⁷ R. J. Stefanski,⁵ K. Stenson,¹⁷ D. J. Summers,⁹ S. Takach,¹⁸ K. Thorne,⁵ A. K. Tripathi,⁷ S. Watanabe,¹⁷ R. Weiss-Babai,¹⁴ J. Wiener,¹⁰ N. Witchey,⁷ E. Wolin,¹⁸ S. M. Yang,⁷ D. Yi,⁹ S. Yoshida,⁷ R. Zaliznyak,¹³ and C. Zhang⁷

(Fermilab E791 Collaboration)

¹Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Brazil
²University of California, Santa Cruz, California 95064, USA
³University of Cincinnati, Cincinnati, Ohio 45221, USA
⁴CINVESTAV, Mexico City, Mexico
⁵Fermilab, Batavia, Illinois 60510, USA
⁶Illinois Institute of Technology, Chicago, Illinois 60616, USA
⁷Kansas State University, Manhattan, Kansas 66506, USA
⁸University of Massachusetts, Amherst, Massachusetts 01003, USA
⁹University of Mississippi-Oxford, University, Mississippi 38677, USA
¹⁰Princeton University, Princeton, New Jersey 08544, USA
¹¹Universidad Autonoma de Puebla, Puebla, Mexico
¹²University of South Carolina, Columbia, South Carolina 29208, USA
¹³Stanford University, Stanford, California 94305, USA
¹⁴Tel Aviv University, Tel Aviv, Israel
¹⁵Box 1290, Enderby, British Columbia, V0E 1V0, Canada
¹⁶Tufts University, Medford, Massachusetts 02155, USA
¹⁷University of Wisconsin, Madison, Wisconsin 53706, USA
¹⁸Yale University, New Haven, Connecticut 06511, USA

W. M. Dunwoodie
Stanford Linear Accelerator, Stanford, California 94305, USA

A model-independent partial-wave analysis of the S-wave component of the Kpi system from decays of D⁺ mesons to the three-body K^-pi⁺pi⁺ final state is described. Data come from the Fermilab E791 experiment. Amplitude measurements are made independently for ranges of K^-pi⁺ invariant mass, and results are obtained below 825 MeV/c², where previous measurements exist only in two mass bins. This method of parametrizing a three-body decay amplitude represents a new approach to analyzing such decays. Though no model is required for the S-wave, a parametrization of the relatively well-known reference P- and D-waves, optimized to describe the data used, is required. In this paper, a Breit-Wigner model is adopted to describe the resonances in these waves. The observed phase variation for the S-, P-, and D-waves do not match existing measurements of I=(1/2) K^-pi⁺ scattering in the invariant mass range in which scattering is predominantly elastic. If the data are mostly I=(1/2), this observation indicates that the Watson theorem, which requires these phases to have the same dependence on invariant mass, may not apply to these decays without allowing for some interaction with the other pion. The production rate of K^-pi⁺ from these decays, if assumed to be predominantly I=(1/2), is also found to have a significant dependence on invariant mass in the region above 1.25 GeV/c². These measurements can provide a relatively model-free basis for future attempts to determine which strange scalar amplitudes contribute to the decays.

©2006 The American Physical Society

See Also

Publisher's Note: Model-independent measurement of S-wave K^-pi⁺ systems using D⁺-->Kpipi decays from Fermilab E791 [Phys. Rev. D 73, 032004 (2006)]
E. M. Aitala, S. Amato, J. C. Anjos et al.
Phys. Rev. D 74, 059901 (E) (2006)

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