Numerical values of $f^F$, $f^D$, $f^S$ coupling constants in $SU(3)$ invariant interaction Lagrangian of vector-meson nonet with $1/2^+$ octet baryons

TL;DR

This paper derives numerical values for specific coupling constants in an $SU(3)$ invariant Lagrangian by using experimental nucleon form factor data within a Unitary and Analytic model, aiding hyperon form factor predictions.

Contribution

It introduces a method to determine $f^F$, $f^D$, $f^S$ coupling constants from comprehensive nucleon form factor data using a Unitary and Analytic model.

Findings

Numerical values for $f^F$, $f^D$, $f^S$ coupling constants obtained.

Enhanced predictions for hyperon electromagnetic form factors.

Demonstrates the effectiveness of the U ext&V model in analyzing form factors.

Abstract

It is demonstrated how an utilization of all existing experimental information on electric and magnetic nucleon form factors, to be described by the Unitary and Analytic (U\&A) nucleon electromagnetic structure model in space-like and time-like regions simultaneously, can provide numerical values of $f^F$, $f^D$, $f^S$ coupling constants in $SU(3)$ invariant interaction Lagrangian of the vector-meson nonet with $1/2^+$ octet baryons. The latter, together with universal vector-meson coupling constants $f_V$, play an essential role in a prediction of $1/2^+$ octet hyperon electromagnetic form factors behaviors.