Basis Light-Front Quantization for a Chiral Nucleon-Pion Lagrangian

Abstract

We present the first application of the Basis Light-Front Quantization method to a simple chiral model of the nucleon-pion system as a relativistic bound state for the physical proton. The light-front mass-squared matrix of the nucleon-pion system is obtained within a truncated basis. The mass and the corresponding light-front wave function (LFWF) of the proton are computed by numerical diagonalization of the resulting mass-squared matrix. With the boost invariant LFWF, we calculate the probability density distribution of the pion's longitudinal momentum fraction and the Dirac form factor of the proton.

arXiv comment36 pages, 3 figures

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• Parton Distribution Functions of Heavy Mesons on the Light Front
• Ultrarelativistic quark-nucleus scattering in a light-front Hamiltonian approach
• Wavelet representation of light-front quantum field theory
• Scattering in strong electromagnetic fields: transverse size effects in tBLFQ
• Flavor asymmetry from the non-perturbative nucleon sea
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Three Dimensional Imaging of Proton in Basis Light-Front Quantization