Hadronic structure on the light front. VII. Pions and kaons and their partonic distributions

We use the QCD instanton vacuum model to discuss the emergence of the light scalar and vector mesons on the light front. We take into account both the instanton and anti-instanton single and molecular interactions on the light quarks, in the form of non-local effective interactions. Although the mol...

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Bibliographic Details
Published in:Physical review. D 2023-05, Vol.107 (9), Article 094024
Main Authors: Liu, Wei-Yang, Shuryak, Edward, Zahed, Ismail
Format: Article
Language:English
Subjects:
Bound states
effective field theory
hadrons
instantons
light quarks
mesons
NUCLEAR PHYSICS AND RADIATION PHYSICS
nuclear structure & decays
parton distribution functions
quantum chromodynamics
strong interaction
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Summary:We use the QCD instanton vacuum model to discuss the emergence of the light scalar and vector mesons on the light front. We take into account both the instanton and anti-instanton single and molecular interactions on the light quarks, in the form of non-local effective interactions. Although the molecular induced interactions are suppressed by a power of the packing fraction, they are still sufficient to bind the vector mesons, while keeping most of the scalar spectrum relatively unchanged. We explicitly derive the light front distribution amplitudes (DAs) and partonic functions (PDFs) for the scalar and vector mesons, and compare them after pertinent QCD evolution, to the available empirical and lattice measured counterparts. The Dirac electric form factors for both the pion and rho meson are derived, and shown to compare well with current data.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.107.094024