Pion-Pion Scattering and K + /- --> 3pi Decay
Aug 1, 19606 pages
Published in:
- Phys.Rev. 119 (1960) 1115-1121
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Abstract: (APS)
The effects of final state pion-pion interactions on the spectrum of K±→3π decay is studied by dispersion relation methods. In the approximations adopted we are led to a set of linear integral equations for the amplitudes of the K±→3π decay. The kernels in these equations depend on the pion-pion S-wave scattering amplitudes. An approximate solution for these equations is obtained by iteration and the departures from a purely statistical spectrum for the decay are related to pion-pion S-wave scattering. The latter in turn is assumed to be well represented with a scattering length structure. The K±→3π spectrum then is parametrized by two quantities, the T=0 and T=2 pion-pion S-wave scattering lengths, a0 and a2. Such experimental results as presently exist indicate that a2−a0 is positive and that roughly a2−a0≈0.7, in units of the pion Compton wavelength.References(9)
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