English

Hadronic structure on the light-front VIII. Light scalar and vector mesons

High Energy Physics - Phenomenology 2024-09-17 v2 Nuclear Theory

Abstract

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.

Keywords

Cite

@article{arxiv.2307.16302,
  title  = {Hadronic structure on the light-front VIII. Light scalar and vector mesons},
  author = {Wei-Yang Liu and Edward Shuryak and Ismail Zahed},
  journal= {arXiv preprint arXiv:2307.16302},
  year   = {2024}
}

Comments

42 pages, 24 figures

R2 v1 2026-06-28T11:43:54.719Z