<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ϕ</mml:mi></mml:math>-meson spectroscopy and diffractive production using two Schrödinger-like equations on the light front

We show that the holographic Schrödinger equation of light-front chiral QCD, together with the ’t Hooft equation of (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mn>1</a:mn><a:mo>+</a:mo><a:mn>1</a:mn></a:mrow></a:math>)-dimensional QCD in the large <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msub><c:mi>N</c:mi><c:mi>c</c:mi></c:msub></c:math> limit, can simultaneously describe the <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>ϕ</e:mi></e:math>-meson mass spectroscopy as well as diffractive cross section. We compute the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>ϕ</g:mi></g:math>-meson diffractive cross section by utilizing its resulting light-front wave functions (LFWFs), in conjunction with the color glass condensate 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 <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>ϕ</i:mi></i:math>-meson LFWFs effectively describe its various properties, including the decay constant, distribution amplitudes, electromagnetic form factors, charge radius, and magnetic and quadrupole moments.