$\phi$-meson spectroscopy and diffractive production using two Schr\"odinger like equations on the light-front

TL;DR

This paper combines holographic and 't Hooft equations on the light-front to accurately model $\

Contribution

It introduces a novel approach using two Schr"odinger-like equations to describe $\

Findings

Accurately reproduces $\

Predicts diffractive cross sections consistent with HERA data

Describes $\

Abstract

We show that the holographic Schr\"odinger equation of light-front chiral QCD, together with the 't Hooft equation of (1+1)-dimensional QCD in the large $N_c$ limit, can simultaneously describe the $\phi$-meson mass spectroscopy as well as diffractive cross-section. We compute the $\phi$-meson diffractive cross-section by utilizing its resulting light-front wave functions (LFWFs), in conjunction with the color glass condensate (CGC) dipole scattering amplitude. Our predictions for the diffractive cross sections show good agreement with the existing experimental data from HERA at various energies from H1 and ZEUS collaborations. Additionally, we show that the obtained $\phi$-meson LFWFs effectively describe its various properties, including the decay constant, distribution amplitudes, electromagnetic form factors, charge radius, and magnetic and quadrupole moments.