Abstract
The isovector axial vector form factors of N→Δ transition are calculated by employing Light-cone QCD sum rules. The analytical results are analyzed 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.
Highlights
Form factors are important properties of hadrons that contain information about their dynamics and internal structure
Isovector axial form factors for the N → ∆ transition are studied. These form factors are important in the pion production off the nucleon, where the ∆ baryon appears as an intermediate resonance, and can strongly influence the production rates
The explicit forms of the functions that appear in the above sum rules in terms of the distribution amplitudes (DAs) of the nucleon are given in appendix A
Summary
Form factors are important properties of hadrons that contain information about their dynamics and internal structure. Isovector axial form factors for the N → ∆ transition are studied. These form factors are important in the pion production off the nucleon, where the ∆ baryon appears as an intermediate resonance, and can strongly influence the production rates The light cone QCD sum rules (LCSR) is one of these non-perturbative methods that has been successfully applied to study non-perturbative hadronic. LCSR will be used to study the N → ∆ transition and the Monte Carlo based method will be applied to estimate the errors in the form factors by extending the method proposed in [13] to the study of form factors. We conclude our work with a discussion of our results
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