Abstract:
We study the properties of the pion through the light-front wave function (LFWF) obtained from the basis light-front quantization (BLFQ) approach. BLFQ is a nonperturbative approach to quantum field theory based on the Hamiltonian formalism. Our Hamiltonian contains the kinetic energy terms, a transverse confining potential motivated by holographic quantum chromodynamics (QCD), a complementary longitudinal confining potential, and the quark-gluon interactions based on QCD. Our basis space includes the lowest two Fock sectors, namelyand. The obtained pion decay constant and electromagnetic radius (at the leading order Fock sector) are comparable to those from the particle data group (PDG). Next, we calculate the parton distribution function (PDF) of the pion based on the leading Fock sector LFWF. After QCD evolution, the resulting PDF is similar to the previous result (Lan
et al., Phys Rev Lett, 2019, 122: 172001.), and agrees with the experimental data from the Fermi National Accelerator Laboratory (FNAL), as well as those from the European Organization for Nuclear Research (CERN).