Spin structure of the nucleon at low energies

Abstract

The spin structure of the nucleon is analyzed in the framework of a Lorentz-invariant formulation of baryon chiral perturbation theory. The structure functions of doubly virtual Compton scattering are calculated to one-loop accuracy (fourth order in the chiral expansion). We discuss the generalization of the Gerasimov-Drell-Hearn sum rule, the Burkhardt-Cottingham sum rule and moments of these. We give predictions for the forward and the longitudinal-transverse spin polarizabilities of the proton and the neutron at zero and finite photon virtuality. A detailed comparison to results obtained in heavy baryon chiral perturbation theory is also given.

arXiv comment29 pp, 14 figs

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Cited by in corpus (55)

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• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
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• Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
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• Q^2 Evolution of the Neutron Spin Structure Moments using a He-3 Target
• Experimental study of isovector spin sum rules
• Signatures of Chiral Dynamics in Low Energy Compton Scattering off the Nucleon
• Infrared regularization with spin-3/2 fields
• The Present and Future of QCD
• New insights into the spin structure of the nucleon
• Determination of the Proton Spin Structure Functions for 0.05 < Q^2 < 5 GeV^2 using CLAS
• Moments of the Spin Structure Functions g_1^p and g_1^d for 0.05 < Q^2 < 3.0 GeV^2
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• Gold-plated moments of nucleon structure functions in baryon chiral perturbation theory
• Measurement of the Generalized Forward Spin Polarizabilities of the Neutron
• The Gerasimov-Drell-Hearn Sum Rule and the Spin Structure of the Nucleon
• Hadron structure at low Q^2
• Predictions of covariant chiral perturbation theory for nucleon polarisabilities and polarised Compton scattering
• Sum Rules for Magnetic Moments and Polarizabilities in QED and Chiral Effective-Field Theory
• Sum Rules and Moments of the Nucleon Spin Structure Functions
• Measurement of the Q^2 Dependence of the Deuteron Spin Structure Function g_1 and its Moments at Low Q^2 with CLAS
• Model-independent effects of Delta excitation in nucleon polarizabilities
• Forward doubly-virtual Compton scattering off the nucleon in chiral perturbation theory: II. Spin polarizabilities and moments of polarized structure functions
• Measurement of the proton spin structure at long distances
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• Measurement of the 3He Spin-Structure Functions and of Neutron (3He) Spin-Dependent Sum Rules at 0.035<Q^2<0.24 GeV^2
• Moments of Spin Structure Functions: Sum Rules and Polarizabilities
• Model independent determination of the muonic hydrogen Lamb shift and proton radius
• Measurement of the generalized spin polarizabilities of the neutron in the low $Q^2$ region
• Higher moments of nucleon spin structure functions in heavy baryon chiral perturbation theory and in a resonance model
• Nucleon in a periodic magnetic field
• Bjorken sum rule in QCD with analytic coupling
• $\Delta (1232)$-Resonance in the Hydrogen Spectrum
• Two-photon interactions with Majorana fermions
• Measurement of the Q^2-evolution of the Bjorken integral and extraction of an effective strong coupling constant at low Q^2
• Nucleon form factors and parton distributions in nonlocal chiral effective theory
• Virtual Compton Scattering at Low Energy and the Generalized Polarizabilities of the Nucleon o
• Nucleon in a periodic magnetic field: Finite-volume aspects
• The g2p Experiment: A Measurement of the Proton's Spin Structure Functions
• Highlights and Perspectives of the JLab Spin Physics Program
• Hyperon forward spin polarizabilty gamma0
• Axial anomaly and the delta_{LT} puzzle
• Superconvergence Relations and Parity Violating analogue of GDH sum rule
• Measurement of the nucleon spin structure functions for 0.01<$Q^2$<1 GeV${}^2$ using CLAS
• Chiral perturbation theory
• Aligning a Majorana fermion's anapole moment with an external current through photon emission mediated by the fermion's generalized polarizabilities
• Spin Polarisability of the Nucleon in the Heavy Baryon Effective Field Theory
• Study of spin sum rules (and the strong coupling constant at large distances)
• Coupled-channel contributions to the GDH sum rule from the Jülich-Bonn approach