2003/01/17 by Xiangdong Ji, Jian-Ping Ma, Feng Yuan · 1 citation
Mathematics · Physics and Astronomy · #Amplitude #Angular momentum #Hadron #Helicity #High-Energy Particle Collisions Research #Light cone #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Projection (relational algebra) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Sum rule in quantum mechanics #Total angular momentum quantum number #Wave function #hep-ph
paper · pdf · doi:10.1103/physrevlett.90.241601
published as Phys.Rev.Lett. 90 (2003) 241601 · 7 pages, no figure
arxiv created 2003/01/17 · openalex publication_date 2003/06/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive a generalized counting rule for hard exclusive processes involving parton orbital angular momentum and hadron helicity flip. We start with a systematic way to enumerate the Fock components of a hadronic light-cone wave function with n partons and orbital angular momentum projection lz. We show that the wave-function amplitude \ensuremathψn(xi,k_i\ensuremath⊥,lzi) has a leading behavior 1/(k_\ensuremath⊥2)^[n+|lz|+min(n^\ensuremath'+|lz^\ensuremath'|)]/2\ensuremath-1 when all parton transverse momenta are uniformly large, where n^\ensuremath' and lz^\ensuremath' are the number of partons and orbital angular momentum projection, respectively, of an amplitude that mixes under renormalization. Besides the generalized counting rule, the result can be used as a constraint in modeling the hadronic light-cone wave functions.