4 research outputs found

    Study of γπ→ππ\gamma\pi \to \pi\pi below 1 GeV using Integral Equation Approach

    Full text link
    The scattering of γπ→ππ\gamma \pi \to \pi \pi is studied using the axial anomaly, elastic unitarity, analyticity and crossing symmetry. Using the technique to derive the Roy's equation, an integral equation for the P-wave amplitude is obtained in terms of the strong P-wave pion pion phase shifts. Its solution is obtained numerically by an iteration procedure using the starting point as the solution of the integral equation of the Muskelshsvilli-Omnes type. It is, however, ambiguous and depends sensitively on the second derivative of the P-wave amplitude at s=mπ2s=m_\pi^2 which cannot directly be measured.Comment: 26 pages, 10 figure
    corecore