SOME ANALYTIC PROPERTIES OF A DECAY AMPLITUDE WITH FINAL STATE INTERACTIONS. THE SINGLE-LOOP FOUR-POINT DIGRAMS IN K[yields]3[pi] DECAY

Author: Barton, G.
Published: United States : [publisher not identified], 1961.
[Oak Ridge, Tennessee] : [U.S. Atomic Energy Commission], 1961.
Physical Description: microopaque : positive ; 8 x 13 cm
Additional Creators: Kacser, C.

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Summary

The analytic properties of the simplest single loop Feynman diagrams whose contributions to K yields 3 pi decay depend on both of the independent energy variables are investigated. This is done by replacing the two internal double pion lines by fictitious single lines of discrete rest masses, lambda / sub 1/ and lambda /sub 2/, and integrating over lambda /sub 1/ and lambda /sub 2/ at the end of the calculation. The analytic properties of the actual amplitude are those of the fictitious amplitude in the limit as lambda /sub 1/ and lambda /sub 2/ independently tend to a value of two pion masses from above. The amplitude has complex singularities and does not satisfy a Mandelstam-type representation. However, a one dimensional dispersion representation with only real cuts does hold in one variable when the other variable is fixed at any real value. Comment is included on the change in the properties of the amplitude as the K meson mass increases past the instability point. (auth)

Report Numbers

BNL-5528

Other Subject(s)

Collection

U.S. Atomic Energy Commission depository collection.

Note

DOE contract number: AT-30-2-GEN-16
NSA number: NSA-17-006944
OSTI Identifier 4760538
Research organization: Brookhaven National Lab., Upton, N.Y.
Research organization: Princeton Univ., N.J. Palmer Physical Lab.

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