Detailed study of the K{sub L}{yields}{pi}{sup 0}{pi}{sup 0}{pi}{sup 0} Dalitz plot

Journal Article · Fri Aug 01 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.032009· OSTI ID:21250583

Abouzaid, E; Blucher, E; Glazov, A; Kessler, R; Monnier, E; Solomey, N; Wah, Y W; Winstein, B; Winston, R; Worcester, E T ^[1]; Arenton, M; Cox, B; Golossanov, A; Ledovskoy, A; Phillips, II, D G; Ronquest, M; Smith, D ^[2]; Barker, A R; Niclasen, R; Toale, P A ^[3]

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1. The Enrico Fermi Institute, The University of Chicago, Chicago, Illinois 60637 (United States)
2. The Department of Physics and Institute of Nuclear and Particle Physics, University of Virginia, Charlottesville, Virginia 22901 (United States)
3. University of Colorado, Boulder, Colorado 80309 (United States)

Using a sample of 68.3x10{sup 6} K{sub L}{yields}{pi}{sup 0}{pi}{sup 0}{pi}{sup 0} decays collected in 1996-1999 by the KTeV (E832) experiment at Fermilab, we present a detailed study of the K{sub L}{yields}{pi}{sup 0}{pi}{sup 0}{pi}{sup 0} Dalitz plot density. We report the first observation of interference from K{sub L}{yields}{pi}{sup +}{pi}{sup -}{pi}{sup 0} decays in which {pi}{sup +}{pi}{sup -} rescatters to {pi}{sup 0}{pi}{sup 0} in a final-state interaction. This rescattering effect is described by the Cabibbo-Isidori model, and it depends on the difference in pion scattering lengths between the isospin I=0 and I=2 states, a{sub 0}-a{sub 2}. Using the Cabibbo-Isidori model, and fixing (a{sub 0}-a{sub 2})m{sub {pi}{sup +}}=0.268{+-}0.017 as measured by the CERN-NA48 collaboration, we present the first measurement of the K{sub L}{yields}{pi}{sup 0}{pi}{sup 0}{pi}{sup 0} quadratic slope parameter that accounts for the rescattering effect: h{sub 000}=(+0.59{+-}0.20{sub stat}{+-}0.48{sub syst}{+-}1.06{sub ext})x10{sup -3}, where the uncertainties are from data statistics, KTeV systematic errors, and external systematic errors. Fitting for both h{sub 000} and a{sub 0}-a{sub 2}, we find h{sub 000}=(-2.09{+-}0.62{sub stat}{+-}0.72{sub syst}{+-}0.28{sub ext})x10{sup -3}, and m{sub {pi}{sup +}}(a{sub 0}-a{sub 2})=0.215{+-}0.014{sub stat}{+-}0.025{sub syst}{+-}0.006{sub ext}; our value for a{sub 0}-a{sub 2} is consistent with that from NA48.

• OSTI ID: 21250583
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 3; Other Information: DOI: 10.1103/PhysRevD.78.032009; (c) 2008 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
CERN
DALITZ PLOT
DENSITY
FERMILAB
FINAL-STATE INTERACTIONS
HADRONIC PARTICLE DECAY
INTERFERENCE
ISOSPIN
KAONS
PIONS MINUS
PIONS NEUTRAL
PIONS PLUS
RESCATTERING
SCATTERING LENGTHS
SPIN