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

Understand

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.