Pion transverse charge density from $e^+$$e^-$ annihilation data and logarithmic dispersion relations

Le résumé fourni par la source

The transverse charge density of the pion is extracted from a dispersive analysis of the $e^+e^- \rightarrow π^+π^-$ exclusive annihilation data. A logarithmic dispersion relation is used to compute the unknown phase of the timelike pion form factor from the modulus obtained from the annihilation cross section. The method is model-independent and permits quantitative uncertainty estimates. The density is obtained with few-percent accuracy down to $b \sim 0.1$ fm; at smaller distances it depends qualitatively on the assumed high-energy behavior of the timelike form factor. Implications for pion structure and the relevance of pQCD asymptotics are discussed.

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