Off-forward gluonic structure of vector mesons

Abstract

The spin-independent and transversity generalised form factors (GFFs) of the $\varphi$ meson are studied using lattice QCD calculations with light quark masses corresponding to a pion mass $m_{\pi }\sim 450(5)$ MeV. One transversity and three spin-independent GFFs related to the lowest moments of leading-twist spin-independent and transversity gluon distributions are obtained at six non-zero values of the momentum transfer up to 1.2 GeV${}^2$. These quantities are compared with the analogous spin-independent quark GFFs and the electromagnetic form factors determined on the same lattice ensemble. The results show quantitative distinction between the spatial distribution of transversely polarised gluons, unpolarised gluons, and quarks, and point the way towards further investigations of the gluon structure of nucleons and nuclei.

Corrections to Eqs. (7), (8) and the unnumbered equation in Appendix B

References in corpus (5)

• Novel quark smearing for hadrons with high momenta in lattice QCD
• Two Nucleon Systems at $m_{\pi }\sim 450\mathrm{MeV}$ from Lattice QCD
• Pseudoscalar and vector meson form factors from lattice QCD
• Light Meson Form Factors at near Physical Masses
• Gluonic Transversity from Lattice QCD

Cited by in corpus (8)

• Gluon gravitational form factors of the nucleon and the pion from lattice QCD
• Gluon gravitational structure of hadrons of different spin
• Hadrons and Nuclei
• Gravitational form factors of a spin one particle
• Form factors of two-hadron states from a covariant finite-volume formalism
• First lattice QCD study of the gluonic structure of light nuclei
• Low-energy Scattering and Effective Interactions of Two Baryons at $m_{\pi }\sim 450$ MeV from Lattice Quantum Chromodynamics
• Polynomiality sum rules for generalized parton distributions of spin-1 targets