Study of $\gamma\pi \to \pi\pi$ below 1 GeV using Integral Equation Approach - Archive ouverte HAL
Article Dans Une Revue Physical Review D Année : 2002

Study of $\gamma\pi \to \pi\pi$ below 1 GeV using Integral Equation Approach

Résumé

The scattering of $\gamma \pi \to \pi \pi$ 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 $s=m_\pi^2$ which cannot directly be measured.

Dates et versions

hal-00104585 , version 1 (07-10-2006)

Identifiants

Citer

Tran N. Truong. Study of $\gamma\pi \to \pi\pi$ below 1 GeV using Integral Equation Approach. Physical Review D, 2002, 65, pp.056004. ⟨hal-00104585⟩
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