Model-independent effects of Delta excitation in nucleon polarizabilities

Abstract

Model-independent effects of $\Delta$(1232) excitation on nucleon polarizabilities are computed in a Lorentz-invariant fashion. We find a large effect of relative order $(M_{\Delta }-M)/M$ in some of the spin polarizabilities, with the backward spin polarizability receiving the largest contribution. Similar subleading effects are found to be important in the fourth-order spin-independent polarizabilities ${\alpha }_{E\nu }$, $\al_{E2}$, $\be_{Mν}$, and $\be_{M 2}$. Combining our results with those for the model-independent effects of pion loops we obtain predictions for spin and fourth-order polarizabilities which compare favorably with the results of a recent dispersion-relation analysis of data.

14 pages, 3 figs, 4 tables; substantial revision, calculation of higher order polarizabilities included

References in corpus (5)

• Dispersion relations in real and virtual Compton scattering
• Effective theory of the Delta(1232) in Compton scattering off the nucleon
• Spin structure of the nucleon at low energies
• Delta --> N gamma in Large-Nc QCD
• Quasi-free Compton Scattering and the Polarizabilities of the Neutron

Cited by in corpus (25)

• Electromagnetic excitation of the Delta(1232)-resonance
• Nucleon Polarizabilities: from Compton Scattering to Hydrogen Atom
• Magnetic moment of the Delta(1232)-resonance in chiral effective field theory
• Electromagnetic Nucleon-to-Delta Transition in Chiral Effective-Field Theory
• Electromagnetic and spin polarisabilities in lattice QCD
• New insights into the spin structure of the nucleon
• Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4)
• Proton spin polarizabilities from polarized Compton scattering
• The Gerasimov-Drell-Hearn Sum Rule and the Spin Structure of the Nucleon
• Large-$N_c$ relations for the electromagnetic N to Delta(1232) transition
• Delta Effects in Pion-Nucleon Scattering and the Strength of the Two-Pion-Exchange Three-Nucleon Interaction
• Nucleon Polarisabilities at and Beyond Physical Pion Masses
• Pion photoproduction on nucleons in a covariant hadron-exchange model
• Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory
• Nucleon resonances in Compton scattering
• Electromagnetic Nucleon-to-Delta Transition in Holographic QCD
• Analyzing the Effects of Neutron Polarizabilities in Elastic Compton Scattering off ${}^3$He
• Predictions for Polarized-Beam/Vector-Polarized-Target Observables in Elastic Compton Scattering on the Deuteron
• Comprehensive Study of Observables in Compton Scattering on the Nucleon
• Some electromagnetic properties of the nucleon from Relativistic Chiral Effective Field Theory
• Nucleon Spin-Polarisabilities from Polarisation Observables in Low-Energy Deuteron Compton Scattering
• Chiral perturbation theory study of the axial $N\to \Delta (1232)$ transition
• Higher derivative terms in the πΔN interaction: some phenomenological consequences
• Enhancement of deltaful two-pion exchange nuclear forces
• Chiral effective field theory of Delta(1232) and Compton scattering