Axial amplitudes for Delta excitation in chiral quark models

Abstract

We study the axial amplitudes for the N-Delta transition in models with quarks and chiral mesons. A set of constraints on the pion field is imposed which enforces PCAC and the off-diagonal Goldberger-Treiman relation. The quark contribution to the amplitudes in general strongly underestimates the C^A_5 amplitude as well as the piNDelta strong coupling constant. We show that the results are considerably improved in models that, in addition to the pion cloud, incorporate a fluctuating sigma field inside the baryon.

arXiv comment13 pages LaTeX2e, 4 EPS figures within the text; Requires elsart.cls (Submitted for publication in Phys. Lett. B). Section 4 revised

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Cited by in corpus (10)

• Watson's theorem and the $N\Delta (1232)$ axial transition
• Hyperon Semileptonic decay constants with flavor SU(3) symmetry breaking
• Quark-Hadron Duality and Parity Violating Asymmetry of Electroweak Reactions in the Delta Region
• Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory
• Axial $N\to \Delta (1232)$ and $N\to N^{\star }(1440)$ transition form factors
• Weak pion production off the nucleon in covariant chiral perturbation theory
• Contribution of the $a_1$ meson to the axial nucleon-to-$\Delta$ transition form factors
• Axial-vector transition form factors of the baryon octet to the baryon decuplet with flavor SU(3) symmetry breaking
• Axial-vector nucleon-to-delta transition form factors using the complex-mass renormalization scheme
• R Parity Violating Decays of the Gluino