Axial $N\to \Delta (1232)$ and $N\to N^{\star }(1440)$ transition form factors

Abstract

We calculate the axial $N\to \Delta (1232)$ and $N\to N^{\star }(1440)$ transition form factors in a chiral constituent quark model. As required by the partial conservation of axial current ($PCAC$) condition, we include one- and two-body axial exchange currents. For the axial $N\to \Delta (1232)$ form factors we compare with previous quark model calculations that use only one-body axial currents, and with experimental analyses. The paper provides the first calculation of all weak axial $N\to N^{\star }(1440)$ form factors. Our main result is that exchange currents are very important for certain axial transition form factors. In addition to improving our understanding of nucleon structure, the present results are relevant for neutrino-nucleus scattering cross section predictions needed in the analysis of neutrino mixing experiments.

28 latex pages, 9 figures, 6 tables. In Fig. 8 the curve labelled "Total" has been corrected

References in corpus (4)

• The axial N to Delta transition form factors from Lattice QCD
• The role of $q\bar{q}$ components in the N(1440) resonance
• Axial exchange currents and nucleon spin
• The Rise and Fall of Pentaquarks in Experiments

Cited by in corpus (24)

• $C_5^A$ axial form factor from bubble chamber experiments
• N-Delta(1232) axial form factors from weak pion production
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1440)$ resonance in lattice QCD
• Form Factors in the Quark Resonance Model
• Theoretical study of neutrino-induced coherent pion production off nuclei at T2K and MiniBooNE energies
• Structure of the Roper Resonance from Lattice QCD Constraints
• Neutral current coherent pion production
• Watson's theorem and the $N\Delta (1232)$ axial transition
• Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory
• Weak pion production off the nucleon in covariant chiral perturbation theory
• Neutrino-induced pion production from nuclei at medium energies
• Axial-vector form factors for the low lying octet baryons in the chiral quark constituent model
• Chiral symmetry and the axial nucleon to Delta(1232) transition form factors
• Light Cone QCD Sum Rules Analysis of the Axial N -> Delta Transition Form Factors
• Axial vector transition form factors of $N\to \Delta$ in QCD
• JLab spectral functions of argon in NuWro and their implications for MicroBooNE
• Contribution of the $a_1$ meson to the axial nucleon-to-$\Delta$ transition form factors
• Model dependence of the polarization asymmetries in weak pion production off the nucleon
• Axial-vector transition form factors of the baryon octet to the baryon decuplet with flavor SU(3) symmetry breaking
• Electroweak Single Pion Production and Form Factors of the Δ(1232) Resonance
• Axial-vector charges of the spin ${\frac{1}{2}}^{+}$ and spin ${\frac{3}{2}}^{+}$ light and charmed baryons in the SU(4) chiral quark constituent model
• Isovector Axial Vector Form Factors of Octet-Decuplet Hyperon Transition in QCD
• Nuclear effects in neutrino induced reactions
• Axial-vector nucleon-to-delta transition form factors using the complex-mass renormalization scheme