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Title: Model-independent measurement of S-wave K{sup -}{pi}{sup +} systems using D{sup +}{yields}K{pi}{pi} decays from Fermilab E791

Abstract

A model-independent partial-wave analysis of the S-wave component of the K{pi} system from decays of D{sup +} mesons to the three-body K{sup -}{pi}{sup +}{pi}{sup +} final state is described. Data come from the Fermilab E791 experiment. Amplitude measurements are made independently for ranges of K{sup -}{pi}{sup +} invariant mass, and results are obtained below 825 MeV/c{sup 2}, 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{sup -}{pi}{sup +} 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{supmore » -}{pi}{sup +} 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/c{sup 2}. These measurements can provide a relatively model-free basis for future attempts to determine which strange scalar amplitudes contribute to the decays.« less

Authors:
; ; ; ; ; ; ; ;  [1]; ; ; ; ; ; ; ; ; ; ;  [2]
  1. University of Mississippi-Oxford, University, Mississippi 38677 (United States)
  2. Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro (Brazil) (and others)
Publication Date:
OSTI Identifier:
20776633
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.73.032004; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BREIT-WIGNER FORMULA; D PLUS MESONS; D WAVES; DECAY AMPLITUDES; FERMILAB; GEV RANGE; HADRONIC PARTICLE DECAY; KAONS MINUS; MEV RANGE; PION-KAON INTERACTIONS; PIONS MINUS; PIONS PLUS; RELATIVISTIC RANGE; RESONANCE PARTICLES; REST MASS; S WAVES; SCALARS; SCATTERING; THREE-BODY PROBLEM; VARIATIONS

Citation Formats

Aitala, E.M., Cremaldi, L.M., Gounder, K., Quinn, B., Rafatian, A., Reidy, J.J., Sanders, D.A., Summers, D.J., Yi, D., Amato, S., Anjos, J.C., Bediaga, I., Carvalho, H.S., Gobel, C., Magnin, J., Massafferri, A., Mello de Neto, J.R.T., Miranda, J.M. de, Reis, A.C. dos, and Santoro, A.F.S. Model-independent measurement of S-wave K{sup -}{pi}{sup +} systems using D{sup +}{yields}K{pi}{pi} decays from Fermilab E791. United States: N. p., 2006. Web. doi:10.1103/PhysRevD.73.032004.
Aitala, E.M., Cremaldi, L.M., Gounder, K., Quinn, B., Rafatian, A., Reidy, J.J., Sanders, D.A., Summers, D.J., Yi, D., Amato, S., Anjos, J.C., Bediaga, I., Carvalho, H.S., Gobel, C., Magnin, J., Massafferri, A., Mello de Neto, J.R.T., Miranda, J.M. de, Reis, A.C. dos, & Santoro, A.F.S. Model-independent measurement of S-wave K{sup -}{pi}{sup +} systems using D{sup +}{yields}K{pi}{pi} decays from Fermilab E791. United States. doi:10.1103/PhysRevD.73.032004.
Aitala, E.M., Cremaldi, L.M., Gounder, K., Quinn, B., Rafatian, A., Reidy, J.J., Sanders, D.A., Summers, D.J., Yi, D., Amato, S., Anjos, J.C., Bediaga, I., Carvalho, H.S., Gobel, C., Magnin, J., Massafferri, A., Mello de Neto, J.R.T., Miranda, J.M. de, Reis, A.C. dos, and Santoro, A.F.S. Wed . "Model-independent measurement of S-wave K{sup -}{pi}{sup +} systems using D{sup +}{yields}K{pi}{pi} decays from Fermilab E791". United States. doi:10.1103/PhysRevD.73.032004.
@article{osti_20776633,
title = {Model-independent measurement of S-wave K{sup -}{pi}{sup +} systems using D{sup +}{yields}K{pi}{pi} decays from Fermilab E791},
author = {Aitala, E.M. and Cremaldi, L.M. and Gounder, K. and Quinn, B. and Rafatian, A. and Reidy, J.J. and Sanders, D.A. and Summers, D.J. and Yi, D. and Amato, S. and Anjos, J.C. and Bediaga, I. and Carvalho, H.S. and Gobel, C. and Magnin, J. and Massafferri, A. and Mello de Neto, J.R.T. and Miranda, J.M. de and Reis, A.C. dos and Santoro, A.F.S.},
abstractNote = {A model-independent partial-wave analysis of the S-wave component of the K{pi} system from decays of D{sup +} mesons to the three-body K{sup -}{pi}{sup +}{pi}{sup +} final state is described. Data come from the Fermilab E791 experiment. Amplitude measurements are made independently for ranges of K{sup -}{pi}{sup +} invariant mass, and results are obtained below 825 MeV/c{sup 2}, 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{sup -}{pi}{sup +} 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{sup -}{pi}{sup +} 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/c{sup 2}. These measurements can provide a relatively model-free basis for future attempts to determine which strange scalar amplitudes contribute to the decays.},
doi = {10.1103/PhysRevD.73.032004},
journal = {Physical Review. D, Particles Fields},
number = 3,
volume = 73,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2006},
month = {Wed Feb 01 00:00:00 EST 2006}
}