Scattering Lengths and Medium and High Energy $ππ$ Scattering

Details Scattering Lengths and Medium and High Energy $ππ$ Scattering Scattering Lengths and Medium and High Energy $ππ$ Scattering

1996-04-02

arxiv.org/abs/hep-ph/9604217v1

Phys.Rev. D54 (1996) 5501-5508

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages plain latex to be run twice with 3 embedded figures using epsf

Scientific paper

10.1103/PhysRevD.54.5501

Medium and high energy absorptive parts contribute to dispersive expressions for D- wave scattering lengths, $a^0_2$ and $a^2_2$. For the model employed by Basdevant, Frogatt and Peterson we find the D- wave driving term contributions to the D- wave scattering lengths are $1.8\cdot 10^{-4}$ to $a^0_2$ and $0.4\cdot 10^{-4}$ to $a^2_2$, roughly $10\%$ and $30\%$ of their respective central experimental values. Inequivalent sets of sum rules are used as a compelling test of the consistency of the model for which crossing symmetry is not guaranteed. Results for the F- wave scattering length $a^1_3$ are presented, completing the recent Roy equation analysis of \pipi scattering in the range for $a^0_0$ favored by standard chiral perturbation theory.

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