Counting of generalized polarizabilities

2001/05/31 by Richard F. Lebed
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.64.094012

published as Phys.Rev. D64 (2001) 094012 · 10 pages, revtex4, no figures. Version to appear in Phys. Rev. D. Paper now divided into sections and clarifying comments added, but physics content unchanged

arxiv created 2001/08/02 · openalex publication_date 2001/10/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We demonstrate a concise method to enumerate the number of generalized polarizabilities---quantities characterizing the independent observables in singly virtual Compton scattering---for a target particle of arbitrary spin s. By using crossing symmetry and J^PC conservation, we show that this number is (10s+1+\ensuremathδ_s,0).

Citations

• Virtual compton scattering and generalized polarizabilities of the proton
• Generalized polarizabilities and the spin-averaged amplitude in virtual Compton scattering off the nucleon