1995/10/27 by Wei-Min Zhang, Zhang, Wei-Min
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.hep-ph/9510428
openalex publication_date 1995/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we develop a weak-coupling treatment of nonperturbative QCD to heavy hadrons on the light-front. First, we present a derivation of quark confining interaction in light-front QCD for heavy quark systems, based on the recently developed light-front similarity renormalization group approach and the light-front heavy quark effective theory. The resulting effective light-front QCD Hamiltonian Hλ at a low-energy cutoff λ manifests the coexistence of a confining potential and a Coulomb potential. A clear light-front picture of quark confinement emerges. Using this low energy QCD Hamiltonian Hλ, we study heavy hadron bound state equations in the framework of a recently proposed possible weak-coupling treatment of non-perturbative QCD. Light-front heavy hadron bound states with definite spin and parity are constructed and the general structure of the corresponding wavefunctions is explored. A Gaussian-type wavefunction ansatz is used to solve the light-front quarkonium bound state equation. We find that the effective coupling constant determined from the quarkonium bound state equation can be arbitrarily small so that the weak-coupling treatment to heavy hadron bound states in light-front QCD is explicitly achieved. Finally, the scale dependence of the effective coupling constant is analytically calculated and the similarity renormalization group β function is determined, from which the running coupling constant in small momentum transfer is given qualitatively by α(Q2) ∼ ΛQCD2 \over Q2. Such a running coupling constant is the basic assumption in the successful Richardson QQ potential that ensures the existence of a linear confining potential at large distance, but now can be obtained from light-front QCD.