<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math>-meson spectroscopy and diffractive production using the holographic light-front Schrödinger equation and the ’t Hooft equation

Abstract

We determine the mass spectroscopy and light-front wave functions (LFWFs) of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>ρ</a:mi></a:math>-meson by solving the holographic Schrödinger equation of light-front chiral QCD along with the ’t Hooft equation of (<c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mrow><c:mn>1</c:mn><c:mo>+</c:mo><c:mn>1</c:mn></c:mrow></c:math>)-dimensional QCD in the large <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msub><e:mi>N</e:mi><e:mi>c</e:mi></e:msub></e:math> limit. Subsequently, we utilize the obtained LFWFs in conjunction with the color glass condensate dipole cross section to calculate the cross sections for the diffractive <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>ρ</g:mi></g:math>-meson electroproduction. Our spectroscopic results align well with the experimental data. Predictions for the diffractive cross sections demonstrate good consistency with the available experimental data at different energies from H1 and ZEUS collaborations. Additionally, we show that the resulting LFWFs for the <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>ρ</i:mi></i:math>-meson can effectively describe various properties, including its decay constant, distribution amplitudes, electromagnetic form factors, charge radius, magnetic and quadrupole moments. Comparative analyses are conducted with experimental measurements and the available theoretical predictions. Published by the American Physical Society 2024

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