2001/04/30 by Asmita Mukherjee · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1016/s0370-2693(01)00954-6
published as Phys.Lett. B517 (2001) 109-118 · 12 pages, revtex, more discussions added, results unchanged
arxiv created 2001/07/10 · openalex publication_date 2001/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02
To have an analytic understanding of the higher-twist structure functions, we calculate twist four longitudinal structure function for a positronium-like bound state in weak coupling light-front QED. We find that in the weakly coupled system, the fermionic part of FL is related to the kinetic energy of the fermions and not to the interaction. We verify a previously proposed sum rule in this limit, which in this case reduces to a relation connecting the kinetic and the potential energies to the binding energy of positronium. Using the analytic form of the wave function of positronium in this limit, we show that the constituent counting rule does not hold for x → 1. The twist four FL in this limit is similar in form to a widely used phenomenological ansatz.