Basis Light-Front Quantization for a Chiral Nucleon-Pion Lagrangian
Nuclear Theory
2020-03-18 v1
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.
Cite
@article{arxiv.1911.10762,
title = {Basis Light-Front Quantization for a Chiral Nucleon-Pion Lagrangian},
author = {Weijie Du and Yang Li and Xingbo Zhao and Gerald A. Miller and James P. Vary},
journal= {arXiv preprint arXiv:1911.10762},
year = {2020}
}
Comments
36 pages, 3 figures