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Pion and kaon parton distribution functions from basis light front quantization and QCD evolution
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abstract
We investigate the parton distribution functions (PDFs) of the pion and the kaon by combining quantum chromodynamics (QCD) evolution with the basis light front quantization. The initial PDFs result from the light front wave functions obtained by diagonalizing the effective Hamiltonian consisting of the holographic QCD confinement potential, a complementary longitudinal confinement potential, and the color-singlet Nambu--Jona-Lasinio interactions. The valence-quark PDF of the pion, after QCD evolution, is consistent with the result from the E-0615 experiment at Fermilab. Meanwhile, the pion structure function calculated from the PDFs agrees with the ZEUS and the H1 experiments at DESY-HERA for large $x$. Additionally, the ratio of the up quark PDF of the kaon to that of the pion is in agreement with the NA-003 experiment at CERN. We also present the cross section for the pion-nucleus induced Drell-Yan process with the obtained pion PDFs supplemented by the PDFs of the target nuclei.
Forward citations
Cited by 5 Pith papers
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Gradient flow for parton distribution functions: first application to the pion
Pion PDF moment ratios up to <x^5> were extracted from lattice QCD with gradient flow and agree with phenomenological fits.
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Efficient Quantum Simulation of QCD Jets on the Light Front
A direct second-quantized qubit encoding of the light-front QCD Hamiltonian is used to classically emulate in-medium jet evolution with up to three-particle Fock states.
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Exclusive $J/\psi$ photoproduction in photon-proton diffractive scattering: A light-front Hamiltonian approach
BLFQ proton and J/ψ light-front wave functions yield a slightly lower exclusive J/ψ photoproduction cross section than prior models, with matching exponential slope B≈3 GeV^{-2}, usable as BK initial conditions.
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Basis light-front quantization approach to deuteron
Using basis light-front quantization with a six-quark plus one-gluon Fock space, the authors report that hidden color states dominate the deuteron wave function at 55.5% probability.
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Strange mesons with one dynamical gluon: A light-front approach
A basis light-front QCD model with one dynamical gluon reproduces strange meson spectra and yields kaon form factors, PDFs, and Drell-Yan cross sections testable at COMPASS++/AMBER.
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