Form Factors and Wave Functions of Vector Mesons in Holographic QCD

Journal Article · Sun Jul 01 00:00:00 EDT 2007 · Phys.Lett.B

DOI:https://doi.org/10.1016/j.physletb.2007.05.044· OSTI ID:901592

Grigoryan, Hovhannes R; Radyushkin, Anatoly V

Within the framework of a holographic dual model of QCD, we develop a formalism for calculating form factors of vector mesons. We show that the holographic bound states can be described not only in terms of eigenfunctions of the equation of motion, but also in terms of conjugate wave functions that are close analogues of quantum-mechanical bound state wave functions. We derive a generalized VMD representation for form factors, and find a very specific VMD pattern, in which form factors are essentially given by contributions due to the first two bound states in the Q^2-channel. We calculate electric radius of the \rho-meson, finding the value < r_\rho^2>_C = 0.53 fm^2.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE - Office of Energy Research (ER)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 901592
• Report Number(s): JLAB-THY-07-624; DOE/OR/23177-0033; hep-ph/0703069; TRN: US0702603
• Journal Information: Phys.Lett.B, Vol. 650, Issue 5-6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
EIGENFUNCTIONS
FORM FACTORS
QUANTUM CHROMODYNAMICS
VECTOR MESONS
WAVE FUNCTIONS