N to $\Delta$ transition amplitudes from QCD sum rules

TL;DR

This paper uses QCD sum rules to calculate the electromagnetic transition amplitudes from the nucleon to the delta baryon, analyzing various sum rules and comparing results with experimental data.

Contribution

It provides a comprehensive set of QCD sum rules for N to Δ transitions and evaluates their validity and predictions using Monte-Carlo analysis.

Findings

Valid sum rules identified and predictions obtained.

Results show consistency with experimental data.

Individual quark contributions analyzed.

Abstract

We present a calculation of the N to $\Delta$ electromagnetic transition amplitudes using the method of QCD sum rules. A complete set of QCD sum rules are derived for the entire family of transitions from the baryon octet to decuplet. They are analyzed in conjunction with the corresponding mass sum rules using a Monte-Carlo-based analysis procedure. The performance of each of the sum rules is examined using the criteria of OPE convergence and ground-state dominance, along with the role of the transitions in intermediate states. Individual contributions from the u, d and s quarks are isolated and their implications in the underlying dynamics are explored. Valid sum rules are identified and their predictions are obtained. The results are compared with experiment and other calculations.