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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 · ORCID
classification hep-ph
keywords equationpiondistributionfactorformholographichooftlight-front
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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 4 Pith papers

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

  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. Structure of lightest nuclei in the visible Universe

    hep-ph 2025-07 reject novelty 5.0 of 10

    A two-cluster light-front model with three fitted parameters reproduces several deuteron observables, while the hidden-color mixture used to explain them is not explicitly computed.

  3. A holographic analysis of the pion

    hep-ph 2024-12 conditional novelty 5.0 of 10

    The pion's measured mass, decay constant, and charge radius fix two longitudinal-potential models that then reproduce its measured electromagnetic and transition form factors at low Q^2.

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

    hep-ph 2025-01 conditional novelty 4.0 of 10

    A two-equation light-front model reproduces the phi meson mass spectrum and HERA diffractive production cross sections, but underpredicts its decay constant.

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