2002/12/05 by S. Dalley, Brett van de Sande, B. van de Sande · 4 citations
Physics and Astronomy · #Bound state #Distribution function #Hamiltonian (control theory) #High-Energy Particle Collisions Research #Lattice QCD #Lattice field theory #Light cone #Meson #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Wave function #hep-ph
paper · pdf · doi:10.1103/physrevd.67.114507
published as Phys.Rev. D67 (2003) 114507 · 27 pages, 9 figures
arxiv created 2002/12/05 · openalex publication_date 2003/06/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the light-cone wave functions of mesons by solving their bound state problem in a coarse transverse lattice gauge theory using discrete light cone quantization. A large-Nc approximation is made and the light-cone Hamiltonian expanded in massive dynamical fields at fixed lattice spacing. In contrast with earlier calculations, we include contributions from states containing many gluonic link fields between the quarks. The Hamiltonian is renormalized by a combination of covariance conditions on bound states and fitting the physical masses M_\ensuremathρ and M_\ensuremathπ, decay constant f_\ensuremathπ, and the string tension √\ensuremathσ. Good covariance is obtained for the lightest 0^\ensuremath-+ state, which we compare with the pion. Many observables can be deduced from its light-cone wave functions. After perturbative evolution, the quark valence structure function is found to be consistent with the experimental pion structure function deduced from Drell-Yan pi-nucleon data in the valence region x>0.5. In addition, the distribution amplitude is consistent with the experimental pion distribution deduced from the \ensuremathπ\ensuremathγ*\ensuremathγ transition form factor and diffractive dissociation. A new observable we calculate is the probability for quark helicity correlation. We predict a 45% probability that the valence-quark helicities are aligned in the pion.