Published April 29, 2024 | Version v1
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Hadronic structure on the light front. VIII. Light scalar and vector mesons

  • 1. Center for Nuclear Theory, Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794–3800, USA

Description

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 nonlocal 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 and partonic functions 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 ρ meson are derived, and shown to compare well with current data.

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10.1103_PhysRevD.109.074029.pdf

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Additional details

Identifiers

DOI
10.1103/PhysRevD.109.074029;
arXiv
arXiv:2307.16302;
Crossref Funder ID
10.13039/100006132; 10.13039/100000015;

Publishing Information

Journal Title
Physical Review D
Journal Volume
109
Journal Issue
7
Journal Page Range
37 pgs.
ISSN
1089-4918

Optional Information

Contract/Grant/Project number
DE-FG-88ER40388
Notes
Contact Email: wei-yang.liu@stonybrook.edu; Contact Email: edward.shuryak@stonybrook.edu; Contact Email: ismail.zahed@stonybrook.edu; Record automatically processed
Funding organization
Office of Science; U.S. Department of Energy