Space-like pion off-shell form factors in the Bethe-Salpeter approach
S. Bondarenko (1,2), M. Slautin (1,2) ((1) Joint Institute for Nuclear Research, Dubna, Russia, (2) Dubna State University, Dubna, Russia)
TL;DR
This paper calculates off-shell electromagnetic pion form factors using the Bethe-Salpeter formalism with a separable kernel, providing analytical solutions and comparing results with existing studies.
Contribution
It introduces an analytical approach to compute semi-off-shell pion form factors within the Bethe-Salpeter framework using a first-rank separable kernel.
Findings
Calculated semi-off-shell form factors F1 and F2
Validated form factors against existing results
Provided static properties of the pion
Abstract
In the paper, the off-shell electromagnetic pion form factors in the Bethe-Salpeter formalism are considered. The separable kernel of the first rank quark-antiquark interaction is used to solve the equation analytically. The semi-off-shell pion form factors \( F_1 \) and \( F_2 \), which are related to each other by the Ward-Takahashi identity, are calculated. The obtained off-shell form factors as well as static properties of the pion are compared with the results of other authors.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · Black Holes and Theoretical Physics