Pion electromagnetic formfactor in the space-like region and $P$-phase $δ^1_1(s)$ of $ππ$ scattering from the value of the modulus of formfactor in the time-like region.

Details Pion electromagnetic formfactor in the space-like region and $P$-phase $δ^1_1(s)$ of $ππ$ scattering from the value of the modulus of formfactor in the time-like region. Pion electromagnetic formfactor in the space-like region and $P$-phase $δ^1_1(s)$ of $ππ$ scattering from the value of the modulus of formfactor in the time-like region.

1998-06-19

arxiv.org/abs/hep-ph/9806418v1

Phys.Rev. D61 (2000) 033009

Physics

High Energy Physics

High Energy Physics - Phenomenology

in Latex format, figure 1, pages 14

Scientific paper

10.1103/PhysRevD.61.033009

The problem of determining the pion electromagnetic formfactor $F(q^2)$ in the space-like region from the value of its modulus in the time-like region is solved by the formfactor analyticity. If $F(q^2)$has no zeroes in the complex plane then the formfactor in the space-like region is determined uniquely. If $F(q^2)$has zeroes in the complex plane $q^2$ it can be obtained in the space-like region within narrow limits using experimental data from the time-like region. The formfactor phase $\phi(s)$ which coincides with the $P$-wave phase $\delta^1_1(s)$ of the $\pi\pi$ scattering is calculated. The value of the pion radius has been improved.

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