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Mass-dependence of pseudoscalar meson elastic form factors
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abstract
A continuum approach to quark-antiquark bound-states is used to determine the electromagnetic form factors of pion-like mesons with masses $m_{0^-}/{\rm GeV}=0.14$, $0.47$, $0.69$, $0.83$ on a spacelike domain that extends to $Q^2 \lesssim 10\,$GeV$^2$. The results enable direct comparisons with contemporary lattice-QCD calculations of heavy-pion form factors at large values of momentum transfer and aid in understanding them. They also reveal, inter alia, that the form factor of the physical pion provides the best opportunity for verification of the factorised hard-scattering formula relevant to this class of exclusive processes and that this capacity diminishes steadily as the meson mass increases.
Forward citations
Cited by 2 Pith papers
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Unified Description of Pseudoscalar Meson Structure from Light to Heavy Quarks
An algebraic light-front model supplies unified leading-twist PDAs, LFWFs, GPDs, PDFs, EFFs, charge radii and IPS-GPDs for light, heavy-light and heavy-heavy pseudoscalar mesons from the same Bethe-Salpeter amplitudes.
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Imaging the charge distributions of flavor-symmetric and -asymmetric mesons
Using a maximum-entropy inversion of DSE/BSE form factors, the authors map meson charge profiles and find quark-antiquark distances that shrink with quark mass and grow by 5-15% for spin-aligned mesons.
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