# $N^*(1535) \rightarrow N $ transition form-factors due to the axial current

## TL;DR

This paper calculates the transition form-factors for the $N^*(1535) o N$ process induced by axial currents using light-cone QCD sum rules, revealing their $Q^2$ dependence and sensitivity to parameters.

## Contribution

It provides the first detailed calculation of $N^*(1535) o N$ transition form-factors within the light-cone QCD sum rules framework, including their parameter sensitivities.

## Key findings

- $G_A$ form-factor follows a dipole $Q^2$ dependence.
- $G_P^{(S)}$ form-factors are highly sensitive to the auxiliary parameter $\beta$.
- Numerical results depend on the chosen input parameters.

## Abstract

The form-factors for the transition $ N^*(1535)\to N $ induced by isovector and isoscalar axial currents within the framework of light-cone QCD sum rules by using the most general form of the interpolating current are calculated. In numerical calculations, we use two sets of values of input parameters. It is observed that the $ Q^2 $ dependence of the form-factor $ G_A $ can be described by the dipole form. Moreover, the form-factors $ G_P^{(S)} $ are found to be highly sensitive to the variations in the auxiliary parameter $ \beta $.