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

Journal Article · Wed Feb 01 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.032004· OSTI ID:20776633

Aitala, E M; Cremaldi, L M; Gounder, K; Quinn, B; Rafatian, A; Reidy, J J; Sanders, D A; Summers, D J; Yi, D ^[1]; 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. ^[2]

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1. University of Mississippi-Oxford, University, Mississippi 38677 (United States)
2. Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro (Brazil)

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.

• OSTI ID: 20776633
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 3; Other Information: DOI: 10.1103/PhysRevD.73.032004; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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