PION-PION SCATTERING AND K$sup +-$ $Yields$ 3$pi$ DECAY

Journal Article · Mon Aug 01 04:00:00 EDT 1960 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.119.1115· OSTI ID:4171010

Khuri, N N; Treiman, S B

The effects of final state pi - pi interactions on the spectrum of K/ sup plus or minus / plus or minus 3 pi decay were studied by dispersion relation methods. In the approximations adopted a set of linear integral equations were used for finding the amplitudes of the K/sup plus or minus / yields 3 pi decay. The kernels in these equations depend on on the pi - pi S- wave scattering amplitudes. An approximate solution for these equations was obtained by iteration and the departures from a purely statistical spectrum for the decay are related to pi - pi S-wave scattering. The latter in turn was assumed to be well represented with a scattering length structure. The K/sup plus or minus / yields 3 pi spectrum then was parametrized by two quantities, the T = 0 and T = 2 pi - pi S-wave scattering lengths, a/sub 0/ and a/sub 2/. Such experimental results as presently exist indicate that a/sub 2/--a/sub 0/ is positive and that roughly a/sub 2/--a/sub 0/ approx equal 0.7, in units of the pi Compton wavelength. (auth)

• Research Organization: Inst. for Advanced Study, Princeton, N.J.
• NSA Number: NSA-14-022330
• OSTI ID: 4171010
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 119; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DECAY
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ELEMENTARY PARTICLES
FIELD THEORY
INTERACTIONS
KAONS
KAONS-MINUS
KAONS-PLUS
PHYSICS
PIONS
SCATTERING
SPECTRA
STATISTICS