Hard-Pion Effective-Range Formula for the Pion Form Factor

22 September 1969

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 23 (12) , 666-670
https://doi.org/10.1103/physrevlett.23.666

Abstract

Using chiral SU(2) current algebra and partially conserved axial-vector current to generate a set of Ward identities we have derived a relation which can be interpreted as a dynamical equation for the off-shell pion form factor. We solve the equation on shell in an effective-range approximation for the pion form factor, and from unitarity we deduce the

p

-wave

π π

phase shift. Our results are in excellent agreement with all relevant data.

Keywords

This publication has 14 references indexed in Scilit:

Study of electron-positron annihilation into π+π− on the ϱo resonance
Physics Letters B, 1969
Finite-Width Corrections to the Vector-Meson-Dominance Prediction for $ρ \to e^{+} e^{-}$
Physical Review Letters, 1968
Pion-Pion Scattering, Current Algebra, Unitarity, and the Width of the Rho Meson
Physical Review Letters, 1968
Current-Algebra Calculation of Hard-Pion Processes: $A_{1} \to ρ + π$ and $ρ \to π + π$
Physical Review B, 1967
Measurement of the Pion Form Factor
Physical Review B, 1967
Investigation of the ϱ-meson resonance with electron-positron colliding beams
Physics Letters B, 1967
Current Algebras and Pole Dominance Applied to Three-Point Functions
Physical Review Letters, 1967
Why is $1 - \frac{2 {F_{π}}^{2} {γ_{ρ π π}}^{2}}{{m_{ρ}}^{2}} ≅ 0$ ?
Physical Review Letters, 1967
Algebra of Current Components and Decay Widths of $ρ$ and $K^{*}$ Mesons
Physical Review B, 1966
Partially Conserved Axial-Vector Current and the Decays of Vector Mesons
Physical Review Letters, 1966