Pion off-shell form factors

Fuente: arXiv
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Autores principales: Bondarenko, S. G., Slautin, M. K.
Formato: Preprint
Publicado: 2026
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author Bondarenko, S. G.
Slautin, M. K.
author_facet Bondarenko, S. G.
Slautin, M. K.
contents In the paper, the electromagnetic off-shell pion form factors in the Bethe-Salpeter formalism with a separable kernel are considered. Different types of vertex functions of a pion are investigated. The separable kernel of the quark-antiquark interaction is used to obtain an analytical solution of the equation. The pion constants and the form factors on both the on-shell and off-shell surfaces are calculated. The differential cross section of the reaction $^1H(e,e' π^ +) n$ is also calculated in the paper. All the obtained results are compared with experimental data. The fulfillment of the Ward-Takahashi identity for the off-shell form factors $F_1(Q^2,t)$ and $F_2(Q^2,t)$ of a pion is verified.
format Preprint
id arxiv_https___arxiv_org_abs_2605_28193
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Pion off-shell form factors
Bondarenko, S. G.
Slautin, M. K.
Nuclear Theory
In the paper, the electromagnetic off-shell pion form factors in the Bethe-Salpeter formalism with a separable kernel are considered. Different types of vertex functions of a pion are investigated. The separable kernel of the quark-antiquark interaction is used to obtain an analytical solution of the equation. The pion constants and the form factors on both the on-shell and off-shell surfaces are calculated. The differential cross section of the reaction $^1H(e,e' π^ +) n$ is also calculated in the paper. All the obtained results are compared with experimental data. The fulfillment of the Ward-Takahashi identity for the off-shell form factors $F_1(Q^2,t)$ and $F_2(Q^2,t)$ of a pion is verified.
title Pion off-shell form factors
topic Nuclear Theory
url https://arxiv.org/abs/2605.28193