This analysis finds errors in the pion's elastic form factor calculations, suggesting improved model fitting using the Bethe-Salpeter approach.
In the paper, the static and dynamic properties of the pion in the Bethe-Salpeter approach are considered. The rank-one separable kernel of the quark-antiquark interaction is used to solve the equation analytically. Multidimensional integrals describing pion properties are calculated by several numerical methods and compared with previous papers. An error in the calculation of the interaction part of the elastic pion form factor is found. Using the corrected results, the kernel parameters are refitted. The calculated static properties as well as transition and elastic form factors are presented in comparison with the recent experimental data.
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Bondarenko et al. (2025) studied this question.
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