Compton Scattering and the Spin Structure of the Nucleon at Low Energies

Abstract

We analyze polarized Compton scattering which provides information on the spin-structure of the nucleon. For scattering processes with photon energies up to 100 MeV the spin-structure dependence can be encoded into four independent parameters-the so-called spin-polarizabilities ${\gamma }_i,i=\mathrm{1...4}$ of the nucleon, which we calculate within the framework of the "small scale expansion" in SU(2) baryon chiral perturbation theory. Specific application is made to "forward" and "backward" spin- polarizabilities.

8 pages revtex file, separation between pion-pole and regular contributions detailed + minor wording changes, results and conclusions unchanged

References in corpus (2)

• Delta(1232) and the Polarizabilities of the Nucleon
• Structure analysis of the virtual Compton scattering amplitude at low energies

Cited by in corpus (76)

• Dispersion relations in real and virtual Compton scattering
• Effective theory of the Delta(1232) in Compton scattering off the nucleon
• Beta Decays and Non-Standard Interactions in the LHC Era
• First measurement of the Gerasimov-Drell-Hearn integral for Hydrogen from 200 to 800 MeV
• Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
• Low-Energy Compton Scattering of Polarized Photons on Polarized Nucleons
• Pion-nucleon scattering in an effective chiral field theory with explicit spin-3/2 fields
• Nucleon Polarizabilities: from Compton Scattering to Hydrogen Atom
• Polarizability of the Nucleon and Compton Scattering
• Compton scattering from the proton in an effective field theory with explicit Delta degrees of freedom
• Generalized Sum Rules for Spin-Dependent Structure Functions of the Nucleon
• Higher Order Polarizabilities of the Proton
• Fixed-t subtracted dispersion relations for Compton scattering off the nucleon
• Signatures of Chiral Dynamics in Low Energy Compton Scattering off the Nucleon
• Complete one-loop analysis of the nucleon's spin polarizabilities
• Electromagnetic and spin polarisabilities in lattice QCD
• Infrared regularization with spin-3/2 fields
• 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)
• Generalized Polarizabilities of the Nucleon in Chiral Effective Theories
• Deuteron Compton scattering below pion photoproduction threshold
• Spin polarisabilities of the nucleon at NLO in the chiral expansion
• Compton scattering on the nucleon at intermediate energies and polarizabilities in a microscopic model
• Chiral symmetry and the Delta-Nucleon transition form factors
• Proton spin polarizabilities from polarized Compton scattering
• Hadron structure at low Q^2
• The Gerasimov-Drell-Hearn Sum Rule and the Spin Structure of the Nucleon
• Compton Scattering from the Deuteron and Extracted Neutron Polarizabilities
• Hadron Polarizabilities
• Measurements of Double-Polarized Compton Scattering Asymmetries and Extraction of the Proton Spin Polarizabilities
• Predictions of covariant chiral perturbation theory for nucleon polarisabilities and polarised Compton scattering
• The Nucleon Spin Polarizability at Order $\mathcal{O}(p^4$) in Chiral Perturbation Theory
• Nucleon Compton scattering in the Dyson-Schwinger approach
• Compton Scattering on the Deuteron in Baryon Chiral Perturbation Theory
• Compton Scattering by the Proton
• Backward spin polarizability ${\gamma }_{\pi }$ of the proton
• Nucleon Polarisabilities at and Beyond Physical Pion Masses
• Sum rule for the backward spin polarizability of the nucleon from a backward dispersion relation
• Model-independent effects of Delta excitation in nucleon polarizabilities
• Nucleon resonances in Compton scattering
• Higher order forward spin polarizability
• Nucleon Polarisabilities from Compton Scattering on the Deuteron
• Parity Violation in gamma proton Compton Scattering
• Spin Polarizabilities of the Nucleon from Polarized Low Energy Compton Scattering
• Dispersion Effects in Nucleon Polarisabilities
• Radiative pion capture by a nucleon
• Explicit Delta(1232) Degrees of Freedom in Compton Scattering off the Deuteron
• Dark Matter Constraints from a Cosmic Index of Refraction
• Octet Baryons in Large Magnetic Fields
• Real and Virtual Compton Scattering off the Nucleon
• Analyzing the Effects of Neutron Polarizabilities in Elastic Compton Scattering off ${}^3$He
• Nucleon Polarizabilities from Deuteron Compton Scattering within a Green's-Function Hybrid Approach
• Spin-dependent sum rules connecting real and virtual Compton scattering verified
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• Predictions for Polarized-Beam/Vector-Polarized-Target Observables in Elastic Compton Scattering on the Deuteron
• Two-photon interactions with Majorana fermions
• Elastic Compton Scattering from 3He and the Role of the Delta
• Hyperon forward spin polarizability gamma0 in baryon chiral perturbation theory
• Real and Virtual Compton Scattering at Low Energies
• Dynamical Polarizabilities of SU(3) Octet of Baryons
• Hadron Structure in Chiral Perturbation Theory
• Generalized polarizabilities and electroexcitation of the nucleon
• Nucleon Polarizabilities: Theory
• Pion-nucleon amplitude near threshold: the sigma-term and scattering lengths beyond few loops
• One-loop calculations of hyperon polarizabilities under the large N_c consistency condition
• Topics in Effective Field Theory for Lattice QCD
• Hyperon forward spin polarizabilty gamma0
• Nucleon Spin-Polarisabilities from Polarisation Observables in Low-Energy Deuteron Compton Scattering
• Nothing anomalous about two-loop HBCPT: consistency with the LET for spin-dependent Compton scattering
• Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory
• Spin-Polarizabilities of the Nucleon in Chiral Soliton Model with Dispersion Relation
• Compton scattering and polarizabilities of the nucleon
• Aligning a Majorana fermion's anapole moment with an external current through photon emission mediated by the fermion's generalized polarizabilities
• Shedding Light on the Symmetries of Dark Matter
• Spin Polarisability of the Nucleon in the Heavy Baryon Effective Field Theory
• Pion-Nucleon Physics and the Polarizabilities of the Nucleon