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

TL;DR

This paper applies Basis Light-Front Quantization to a chiral nucleon-pion model, computing the proton's mass, wave function, and form factors, demonstrating a novel relativistic bound state approach.

Contribution

It is the first application of Basis Light-Front Quantization to a chiral nucleon-pion system, providing a new method for relativistic bound state calculations.

Findings

Computed the proton's mass and wave function using a truncated basis.

Calculated the pion's momentum distribution within the proton.

Determined the proton's Dirac form factor from the wave function.

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.