Axial vector transition form factors of $N \rightarrow \Delta$ in QCD

TL;DR

This paper calculates the isovector axial vector form factors for the N to Delta transition using Light-cone QCD sum rules, comparing conventional and Monte Carlo methods, and aligning with existing literature.

Contribution

It introduces a Monte Carlo approach to analyze form factors in QCD sum rules, providing a comprehensive uncertainty assessment.

Findings

Conventional analysis results agree with existing literature.

Monte Carlo analysis reveals large uncertainties in predictions.

Predicted form factors are consistent with previous studies.

Abstract

The isovector axial vector form factors of $N \rightarrow \Delta$ transition are calculated by employing Light-cone QCD sum rules. The analytical results are analysed by both the conventional method, and also by a Monte Carlo based approach which allows one to scan all of the parameter space. The predictions are also compared with the results in the literature, where available. Although the Monte Carlo analysis predicts large uncertainties in the predicted results, the predictions obtained by the conventional analysis are in good agreement with other results in the literature.