2007/06/30 by H. R. Grigoryan, Hovhannes R. Grigoryan, Anatoly Radyushkin +1 · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.76.095007
published as Phys.Rev.D76:095007,2007 · 8 pages, RevTex4, references, comments and a figure added. Some terminoloy changes
arxiv created 2007/10/11 · openalex publication_date 2007/11/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
Wave functions and form factors of vector mesons are investigated in the holographic dual model of quantum chromodynamics with oscillator-like infrared cutoff. We introduce wave functions conjugate to solutions of the 5D equation of motion and develop a formalism based on these wave functions, which are very similar to those of a quantum-mechanical oscillator. For the lowest bound state (\ensuremathρ-meson), we show that, in this model, the basic elastic form factor exhibits the perfect vector meson dominance, i.e., it is given by the \ensuremathρ-pole contribution alone. The electric radius of the \ensuremathρ-meson is calculated, ⟨r_\ensuremathρ2⟩C=0.655 fm2, which is larger than in the case of the hard-wall cutoff. The squared radii of higher excited states are found to increase logarithmically rather than linearly with the radial excitation number. We calculate the coupling constant f_\ensuremathρ and find that the experimental value is closer to that calculated in the hard-wall model.