Abstract
We obtain the light meson mass spectroscopy from the light-front quantum chromodynamics (QCD) Hamiltonian, determined for their constituent quark-antiquark and quark-antiquark-gluon Fock components, together with a three-dimensional confinement. The eigenvectors of the light-front effective Hamiltonian provide a good quality description of the pion electromagnetic form factor, decay constant, and the valence quark distribution functions following QCD scale evolution. We also show that the pion's gluon densities can be probed through the pion-nucleus induced J/ψ production data. Our pion parton distribution functions provide excellent agreement with J/ψ production data from widely different experimental conditions.
Highlights
Quantum chromodynamics (QCD) is the well established theory for the strong interactions [1], where hadrons are viewed as confined systems of partons
We evaluate the pion electromagnetic form factor (EMFF) and the parton distribution functions (PDFs) from our resulting light-front wave functions (LFWFs) obtained as eigenvectors of this Hamiltonian
Within the framework of the color evaporation model (CEM) [46,47,48], we study the sensitivity of J/ψ production to our pion PDFs and confirm that consistency with the data depends sensitively on the shape and magnitude of the pion’s gluon density
Summary
Quantum chromodynamics (QCD) is the well established theory for the strong interactions [1], where hadrons are viewed as confined systems of partons (quarks and gluons). With quarks and gluons being the explicit degrees of freedom for the strong interaction, our Hamiltonian incorporates LF QCD interactions [13] relevant to constituent quark-antiquark and quark-antiquark-gluon Fock components of the mesons with a complementary three-dimensional (3D) confinement [30] By solving this Hamiltonian in the leading two Fock sectors and fitting the constituent parton masses and coupling constants as the model parameters, we obtain a good quality description of light meson mass spectroscopy. We evaluate the pion electromagnetic form factor (EMFF) and the parton distribution functions (PDFs) from our resulting light-front wave functions (LFWFs) obtained as eigenvectors of this Hamiltonian. The former characterizes the spatial extent of a hadron, while the latter describe the longitudinal momentum distribution of partons within the hadron. The pion’s initial gluon distribution at the valence quark regime can contribute significantly to interpreting the J/ψ production data
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