2003/12/20 by Hans–Christian Pauli, Hans-Christian Pauli, Pauli, Hans-Christian
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Applications #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0312298
LaTeX2e, 10 pages, 12 references. Paper 3 of 5
arxiv created 2003/12/20 · openalex publication_date 2003/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The formalism for the spin interactions in the front form (light-cone) is re-phrased in terms of an instant form formalism. It is shown how to unitarily transform the Brodsky-Lepage spinors to Bjørken-Drell spinors and to re-phrase the so called spinor matrix in terms of the interactions one is familiar with from atomic and Dirac theory. -- One retrieves the (relativistic) kinetic correction, the hyperfine and the Darwin term which acts even when wave function is spherically symmetric. One also retrieves angular momentum dependent terms like the spin-orbit interaction in a relativistically correct way; and one obtains additional terms which thus far have not been reported particularly various L2-dependent terms. Since the approach includes the full retardation, one gets additional, thus far unknown terms. The differ from atomic and Dirac theory, since there only that part of the vector potential is usually included which is generated by the atomic nucleus. Quite on purpose, the paper is kept formal.