English

Counting Rule for Hadronic Light-Cone Wave Functions

High Energy Physics - Phenomenology 2009-11-10 v1

Abstract

We introduce a systematic way to write down the Fock components of a hadronic light-cone wave function with nn partons and orbital angular momentum projection lzl_z. We show that the wave function amplitude ψn(xi,ki,lzi)\psi_n(x_i,k_{i\perp},l_{zi}) has a leading behavior 1/(k2)[n+lz+min(n+lz)]/211/(k^2_\perp)^{[n+|l_z|+{\rm min}(n'+|l_z'|)]/2-1} when all parton transverse momenta are uniformly large, where nn' and lzl_z' are the number of partons and orbital angular momentum projection, respectively, of an amplitude that mixes under renormalization. The result can be used as a constraint in modeling the hadronic light-cone wave functions. We also derive a generalized counting rule for hard exclusive processes involving parton orbital angular momentum and hadron helicity flip.

Cite

@article{arxiv.hep-ph/0301141,
  title  = {Counting Rule for Hadronic Light-Cone Wave Functions},
  author = {Xiangdong Ji and Jian-Ping Ma and Feng Yuan},
  journal= {arXiv preprint arXiv:hep-ph/0301141},
  year   = {2009}
}

Comments

7 pages, no figure

R2 v1 2026-07-22T13:46:05.953Z