Basis light-front quantization approach to $\Lambda$ and $\Lambda_c$ and their isospin triplet baryons

TL;DR

This paper uses a light-front Hamiltonian approach to calculate the masses, electromagnetic properties, and parton distribution functions of Lambda, Lambda_c, and their isospin triplet baryons, achieving results consistent with experimental and lattice data.

Contribution

It introduces a basis light-front quantization method to compute baryon properties, including mass spectra and PDFs, within a unified effective Hamiltonian framework.

Findings

Baryon masses match experimental ranges

Electromagnetic properties agree with data and lattice QCD

Generated gluon and sea quark PDFs from QCD evolution

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.