Reevaluating the holographic light-front Meson wave function using longitudinal dynamics obtained from the 't Hooft equation

Abstract

The goal of this work is to investigate the effects of using a solution derived from the ’t Hooft equation as the longitudinal mode for the light-front meson wave function in holographic Quantum Chromodynamics (hQCD). We calculate observables such as the mass spectra, decay constants, and charge radii for several mesons. We attempt to incorporate dynamical spin effects into our results, as this has led to better agreement with observation for the decay constant and charge radius in previous works. We also compare the parton distribution functions obtained through this approach to results obtained by Brodsky and de Téramond, who use a different approach. Some differences between the methods employed to calculate Transition Form Factors (TFFs) using these new dynamics and Light Cone Sum Rules (LCSR) are noted, but the results obtained in this investigation are preliminary. Finally, we find that this approach produces a mass spectrum that agrees well with observation for numerous pseudoscalar mesons, but predicts nonphysical answers for certain observables upon inclusion of spin structure. i