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

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.

18 pages, 8 figures, 7 tables. Updated references and Fig. 7 and Fig. 8

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• A model for the Delta(1600) resonance and gamma N -> Delta(1600) transition
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• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• What is the role of the meson cloud in the ${\Sigma }^{\ast 0}\to \gamma \Lambda$ and ${\Sigma }^{\ast }\to \gamma \Sigma$ decays?
• A covariant model for the decuplet to octet Dalitz decays
• Low-$Q^2$ empirical parametrizations of the $N^{\ast }$ helicity amplitudes
• Axial vector transition form factors of $N\to \Delta$ in QCD
• Electromagnetic transition form factors, $E2/M1$ and $C2/M1$ ratios of the baryon decuplet
• Electromagnetic transitions among octet and decuplet baryons in QCD
• Transition magnetic moment of $\Lambda$ $\to$ ${\Sigma }^0$ in QCD sum rules
• Meson cloud contributions to the Dalitz decays of decuplet to octet baryons