Hard-Pion Calculation of $π - π$ Scattering

Publisher Website

26 February 1968

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 20 (9) , 475-478
https://doi.org/10.1103/physrevlett.20.475

Abstract

A mass-shell current-algebra calculation of

π - π

scattering is given. The Weinberg scattering lengths and effective ranges are shown to be valid within a few percent. At the

K

meson mass, we find the essentially model-independent result

δ^{0} - δ^{2} ≃ 35 °

. The existing data at higher energies (up to 1 GeV) can be fitted by adjusting a model-dependent parameter.

Keywords

This publication has 14 references indexed in Scilit:

Low-Energy Pion-Pion Phase Shifts
Physical Review Letters, 1967
Current Algebra and Vertex Functions
Physical Review Letters, 1967
Method for $π π$ or $K π$ Phase-Shift Analysis
Physical Review Letters, 1967
$A_{1} \to ρ π$ and $ρ \to 2 π$ Decays
Physical Review Letters, 1967
$π π$ Phase-Shift Analysis from 600 to 1000 MeV
Physical Review Letters, 1967
Low-Energy Constraints on Pion Production Amplitudes in $π N$ Scattering
Physical Review B, 1967
Current Algebras and Pole Dominance Applied to Three-Point Functions
Physical Review Letters, 1967
New Set of $π - π$ Phase Shifts
Physical Review Letters, 1967
Pion Scattering Lengths
Physical Review Letters, 1966
Current-Commutator Calculation of the $K_{l 4}$ Form Factors
Physical Review Letters, 1966