2006/01/31 by Stanley J. Brodsky, S. J. Brodsky, Susan Gardner +3
Physics and Astronomy · #Anomalous magnetic dipole moment #Dark Matter and Cosmic Phenomena #Dipole #Electric dipole moment #Magnetic dipole #Magnetic moment #Nucleon #Parity (physics) #Particle physics #Particle physics theoretical and experimental studies #Pauli exclusion principle #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Sum rule in quantum mechanics #hep-ph #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevd.73.036007
published as Phys.Rev.D73:036007,2006 · 25 pages, 1 figure. Published version. Ref. added
arxiv created 2006/02/27 · openalex publication_date 2006/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the electric dipole form factor, F3(q2), as well as the Dirac and Pauli form factors, F1(q2) and F2(q2), of the nucleon in the light-front formalism. We derive an exact formula for F3(q2) to complement those known for F1(q2) and F2(q2). We derive the light-front representation of the discrete symmetry transformations and show that time-reversal- and parity-odd effects are captured by phases in the light-front wave functions. We thus determine that the contributions to F2(q2) and F3(q2), Fock state by Fock state, are related, independent of the fundamental mechanism through which CP violation is generated. Our relation is not specific to the nucleon, but, rather, is true of spin-1/2 systems in general, be they lepton or baryon. The empirical values of the anomalous magnetic moments, in concert with empirical bounds on the associated electric dipole moments, can better constrain theories of CP violation. In particular, we find that the neutron and proton electric dipole moments echo the isospin structure of the anomalous magnetic moments, \ensuremathκn\ensuremath∼\ensuremath-\ensuremathκp.