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Title: Measurement of the K-{pi}+ S-wave System in D+ {yields} K-{pi}+{pi}+ Decays from Fermilab E791

Abstract

A new approach to the analysis of three body decays is presented. Measurements of the S-wave K{pi} amplitude are made in independent ranges of invariant mass from threshold up to the upper kinematic limit in D+ {yields} K-{pi}+{pi}+ decays. These are compared with results obtained from a fit where the S-wave is assumed to have {kappa} and K{sub 0}*(1430) resonances. Results are also compared with measurements of K-{pi}+ elastic scattering. Contributions from I = (1/2) and I = (3/2) are not resolved in this study. If I = (1/2) dominates, however, the Watson theorem prediction, that the phase behaviour below K{eta}' threshold should match that in elastic scattering, is not well supported by these data. Production of K-{pi}+ from these D decays is also studied.

Authors:
 [1]
  1. University of Cincinnati, Cincinnati, OH, 45221 (United States)
Publication Date:
OSTI Identifier:
20798155
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 814; Journal Issue: 1; Conference: 11. international conference on hadron spectroscopy, Rio de Janeiro (Brazil), 21-26 Aug 2005; Other Information: DOI: 10.1063/1.2176563; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; D PLUS MESONS; ELASTIC SCATTERING; ETA PRIME-958 MESONS; FERMILAB; HADRONIC PARTICLE DECAY; K*-1410 MESONS; KAONS MINUS; PION-KAON INTERACTIONS; PION-PION INTERACTIONS; PIONS MINUS; PIONS PLUS; REST MASS; S WAVES; THREE-BODY PROBLEM

Citation Formats

Meadows, B. Measurement of the K-{pi}+ S-wave System in D+ {yields} K-{pi}+{pi}+ Decays from Fermilab E791. United States: N. p., 2006. Web. doi:10.1063/1.2176563.
Meadows, B. Measurement of the K-{pi}+ S-wave System in D+ {yields} K-{pi}+{pi}+ Decays from Fermilab E791. United States. doi:10.1063/1.2176563.
Meadows, B. Sat . "Measurement of the K-{pi}+ S-wave System in D+ {yields} K-{pi}+{pi}+ Decays from Fermilab E791". United States. doi:10.1063/1.2176563.
@article{osti_20798155,
title = {Measurement of the K-{pi}+ S-wave System in D+ {yields} K-{pi}+{pi}+ Decays from Fermilab E791},
author = {Meadows, B.},
abstractNote = {A new approach to the analysis of three body decays is presented. Measurements of the S-wave K{pi} amplitude are made in independent ranges of invariant mass from threshold up to the upper kinematic limit in D+ {yields} K-{pi}+{pi}+ decays. These are compared with results obtained from a fit where the S-wave is assumed to have {kappa} and K{sub 0}*(1430) resonances. Results are also compared with measurements of K-{pi}+ elastic scattering. Contributions from I = (1/2) and I = (3/2) are not resolved in this study. If I = (1/2) dominates, however, the Watson theorem prediction, that the phase behaviour below K{eta}' threshold should match that in elastic scattering, is not well supported by these data. Production of K-{pi}+ from these D decays is also studied.},
doi = {10.1063/1.2176563},
journal = {AIP Conference Proceedings},
number = 1,
volume = 814,
place = {United States},
year = {Sat Feb 11 00:00:00 EST 2006},
month = {Sat Feb 11 00:00:00 EST 2006}
}
  • 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,more » 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.« less
  • 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,more » optimized to describe the data used, is required. 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, does not apply to these decays. 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.« less
  • A new approach to the analysis of three body decays is presented. Measurements of the S-wave K{pi} amplitude are made in independent ranges of invariant mass from threshold up to the upper kinematic limit in D{sup +} {yields} K{sup -}{pi}{sup +}{pi}{sup +} decays. These are compared with results obtained from a fit where the S-wave is assumed to have {kappa} and K{sub 0}{sup +}(1430) resonances. Results are also compared with measurements of K{sup -} {pi}{sup +} elastic scattering. Contributions from I = 1/2 and I = 3/2 are not resolved in this study. If I = 1/2 dominates, however, themore » Watson theorem prediction, that the phase behavior below K{eta}' threshold should match that in elastic scattering, is not well supported by these data. Production of K{sup -} {pi}{sup +} from these D decays is also studied.« less
  • A new approach to the analysis of three body decays is presented. Model-independent results are obtained for the S-wave K{pi} amplitude as a function of K{pi} invariant mass. These are compared with results from K{sup -}{pi}{sup +} elastic scattering, and the prediction of the Watson theorem, that the phase behavior be the same below K{eta}' threshold, is tested. Contributions from I = 1/2 and I = 3/2 are not resolved in this study. If I = 1/2 dominates, however, the Watson theorem does not describe these data well.