Burkhardt-Cottingham sum rule and forward spin polarizabilities in heavy baryon chiral perturbation theory

2002/09/21 by Chung Wen Kao, Thomas Spitzenberg, Marc Vanderhaeghen · 4 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.67.016001

published as Phys.Rev. D67 (2003) 016001 · 16 pages,4 figs

arxiv created 2002/09/21 · openalex publication_date 2003/01/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study spin-dependent sum rules for forward virtual Compton scattering (VVCS) off the nucleon in heavy baryon chiral perturbation theory (HBChPT) at order O(p⁴). We show how these sum rules can be evaluated from low energy expansions (in the virtual photon energy) of the forward VVCS amplitude. We study in particular the Burkhardt-Cottingham sum rule in HBChPT and the higher terms in the low energy expansion, which can be related to the generalized forward spin polarizabilities of the nucleon. The dependence of these observables on the photon virtuality Q² can be accessed, at small and intermediate Q² values, from existing and forthcoming data at Jefferson Lab.

Citations

• Complete One-Loop Analysis of the Nucleon's Spin Polarizabilities
• Polarizability of nucleons
• Chiral Dynamics in Nucleons and Nuclei

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• ELECTROMAGNETIC FORM FACTORS OF THE NUCLEON AND COMPTON SCATTERING