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Pion Structure Function in the Nambu and Jona-Lasinio model

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arxiv hep-ph/9402286 v1 pith:JVNVAVI2 submitted 1994-02-15 hep-ph

T. Shigetani , K. Suzuki , H. Toki This is my paper · ORCID
classification hep-ph
keywords piondistributionsfunctionmodelstructurecalculateexperimentjona-lasinio
verification ladder T0 review T1 audit T2 compute T3 formal
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The pion structure function is studied in the Nambu and Jona-Lasinio (NJL) model. We calculate the forward scattering amplitude of a virtual photon from a pion target in the Bjorken limit, and obtain valence quark distributions of the pion at the low energy hadronic scale, where the NJL model is supposed to work. The calculated distribution functions are evolved to the experimental momentum scale using the Altarelli-Parisi equation. The resulting distributions are in a reasonable agreement with experiment. We calculate also the kaon structure function and compare the ratio of kaon to pion valence u-quark distributions with experiment.

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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. Determination of Fragmentation Functions from Charge Asymmetries in Hadron Production

    hep-ph 2025-07 unverdicted novelty 7.0 of 10

    Non-singlet fragmentation functions of pions and kaons are determined at NNLO QCD from charge asymmetry measurements in e+e- annihilation and SIDIS, yielding a scaling index of 0.7 and strangeness suppression of 0.5.

  2. 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.

  3. 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.

  4. Small $x$ behavior in QCD from maximal entanglement and conformal invariance

    hep-ph 2025-08 conditional novelty 4.0 of 10

    Bethe Ansatz finite-size corrections to Lipatov's spin chain yield c=1, which fixes the small-x gluon scaling to x^{-1/3}.

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