The electromagnetic pion form factor and its phase
P. Sanchez Puertas* and E. Ruiz Arriola
*: corresponding author
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Pre-published on: February 07, 2025
Published on: March 25, 2025
Abstract
In this work, we employ a dispersion relation that allows to recover the electromagnetic form factor of the pion from its modulus along the unitarity cut. Unlike the standard dispersive approach, this method extends in a straightforward manner above the inelastic region, allowing us to obtain the form factor's phase, as well as its real and imaginary parts. As applications, we extract the $P$-wave $\pi\pi$ phase shift, the octet form factor, derive bounds in the spacelike region, and offer insights into the onset of perturbative QCD.
DOI: https://doi.org/10.22323/1.465.0078
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