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Pion spectroscopy and dynamics using the holographic light-front Schr\"odinger equation and the 't Hooft equation

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arxiv 2208.08405 v1 pith:MZUB3AQX submitted 2022-08-17 hep-ph

Mohammad Ahmady , Satvir Kaur , Chandan Mondal , Ruben Sandapen This is my paper
classification hep-ph
keywords equationpiondistributionfactorformholographichooftlight-front
verification ladder T0 review T1 audit T2 compute T3 formal
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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 pion spectroscopy as well as the pion decay constant, charge radius, electromagnetic form factor, photon-to-pion transition form factor, Parton Distribution Function (PDF) and Distribution Amplitude (DA). Furthermore, the chiral-limit constraints, as encoded in the Gell-Mann-Oakes-Renner (GMOR) relation, are satisfied.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Gradient flow for parton distribution functions: first application to the pion

    hep-lat 2025-09 conditional novelty 6.0 of 10

    Pion PDF moment ratios up to <x^5> were extracted from lattice QCD with gradient flow and agree with phenomenological fits.

  2. Pion parton distribution functions and pion-nucleus induced $J/\psi$ production in extended light-front holographic QCD

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    Pion PDFs from holographic light-front QCD are consistent with global analyses and produce J/ψ cross sections matching experimental data across energies and targets.

  3. Pion parton distribution functions and pion-nucleus induced $J/\psi$ production in extended light-front holographic QCD

    hep-ph 2026-05 unverdicted novelty 4.0 of 10

    Pion PDFs derived from holographic light-front wave functions yield NLO J/ψ production cross sections in pion-nucleus collisions that agree with data.

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