Basis light-front quantization approach to $\Lambda$ and ${\Lambda }_c$ and their isospin triplet baryons

Abstract

We obtain the masses, the electromagnetic properties, and the parton distribution functions (PDFs) of $\Lambda$, ${\Lambda }_c$, and their isospin triplet baryons, i.e, ${\Sigma }^0$, ${\Sigma }^{+}$, ${\Sigma }^{-}$ and ${\Sigma }_c^0$, ${\Sigma }_c^{+}$, ${\Sigma }_c^{++}$ from a light-front effective Hamiltonian in the leading Fock sector in the basis light-front quantization framework. The light-front wave functions of these baryons are given by the eigenstates of the effective Hamiltonian consisting of a three-dimensional confinement potential and a one-gluon exchange interaction with fixed coupling. The masses of these baryons in our approach are in the experimental range while isospin-dependent mass differences are too small. Meanwhile, the electromagnetic properties are in agreement with the available experimental data, the lattice QCD simulations, and the other theoretical calculations. We also present the gluon and the sea quark PDFs, which we generate dynamically from the QCD evolution of the valence quark distributions.

arXiv comment19 pages, 16 figures

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