Time-like electromagnetic form factors of $\Lambda,~\Sigma$ and $\Xi^{+}$ in a light-front quark model

TL;DR

This paper employs a light-front quark model to analyze the electromagnetic form factors of hyperons in electron-positron collisions, achieving results that align well with experimental data from BESIII.

Contribution

It introduces a Bethe-Salpeter formalism with non-valence contributions to accurately calculate hyperon form factors in a light-front quark model.

Findings

Form factors closely match BESIII data.

Calculated effective form factors and ratios for hyperons at specific q^2 values.

Demonstrates the model's effectiveness in describing hyperon electromagnetic properties.

Abstract

We use the light front quark model to investigate the form factors in the $e^{+}e^{-} \to B\bar{B}$ collision proceses with $B=\Lambda,~\Sigma$ and $\Xi$. These form factor behaviors are calculated based on the Bethe-Salpeter formalism with $q^{+} > 0$ to effectively account for non-valence contributions. We show that our results of the $q^2$-dependent form factors closely match the BESIII data. In particalar, we obtain that $|G_{eff}| = (0.921,~0.098,~0.189$) and $R =|$$G_E\over G_M$$|= (0.97,~0.89$,~$0.936$) for $e^{+} e^{-}\to \Lambda \bar{\Lambda}$,~$\Sigma^{+} \Sigma^{-},~\Xi^{+} \Xi^{+})$ which $q^2 = (5.74,~6.0,~7.0)$ GeV$^2$.