The data on the electromagnetic pion form factor and P-wave isovector ππ phase-shift are definitely consistent
- 1 May 1981
- journal article
- Published by IOP Publishing in Journal of Physics G: Nuclear Physics
- Vol. 7 (5), 605-612
- https://doi.org/10.1088/0305-4616/7/5/006
Abstract
The data for the absolute value of the pion form factor (free of the omega-meson contribution) are combined with the P-wave isovector pi pi phase-shift. The resultant real and imaginary parts of the pion form factor are described by means of a Pade-type approximation. All the data which involve pion form factor experimental points from the range of momenta -0.8432 GeV22, the pion charge radius and the P-wave isovector pi pi phase-shift in the elastic region (including also the generally accepted value of the scattering length a11) are mutually consistent. The data themselves reveal through a Pade-type approximation that the consistency can be achieved only if the pion form factor left-hand cut from the second Riemann sheet is taken into account. In almost all the Pade-type approximations considered one stable pion form factor zero is found in the space-like region; this might indicate the existence of a diffraction minimum in the differential cross section for elastic e- pi scattering as a consequence of the constituent structure of the pion, as in the case of electron elastic scattering on nuclei.Keywords
This publication has 17 references indexed in Scilit:
- Experimental behaviour of the P-wave isovector ππ phase shift and the pion form factor left hand cut contributionCzechoslovak Journal of Physics, 1979
- Pion form factor and its asymptotic behaviourCzechoslovak Journal of Physics, 1979
- Are the data on the electromagnetic pion form factor and P-wave isovector ππ phase-shift really inconsistent?Journal of Physics G: Nuclear Physics, 1978
- Pion charge radius and the pion form factorPhysical Review D, 1977
- ππ phase-shift analysis below the thresholdNuclear Physics B, 1974
- π+π− production by e+e− annihilation in the ϱ energy range with the Orsay storage ringPhysics Letters B, 1972
- The Padé Approximation and its Physical ApplicationsFortschritte der Physik, 1972
- Precise Determination ofInterference Parameters from Photoproduction of Vector Mesons Off Nucleon and NucleiPhysical Review Letters, 1971
- Determination of theω→π+π−Decay Amplitude from PhotoproductionPhysical Review Letters, 1971
- Measurement of the Magnitude and Phase ofρ−ωInterference inπ+ω−Photoproduction from CarbonPhysical Review Letters, 1970