Dynamical Nucleon-Pion System via Basis Light-Front Quantization
Abstract
We present the first application of the Basis Light-Front Quantization method to study a simple chiral model of the nucleon-pion system via an ab initio, non-perturbative, Hamiltonian approach. As a test problem, we consider the physical proton as the relativistic bound state of the nucleon-pion system. Based on the chiral model of the nucleon-pion system, we construct the mass-squared matrix of the system within our light-front basis representation. We obtain the proton's mass and the corresponding light-front wave function by solving the eigenvalue problem of the mass-squared matrix. With the resulting boost-invariant light-front wave function, we also compute the proton's parton distribution function.
Cite
@article{arxiv.1908.02237,
title = {Dynamical Nucleon-Pion System via Basis Light-Front Quantization},
author = {Weijie Du and Yang Li and Xingbo Zhao and James P. Vary},
journal= {arXiv preprint arXiv:1908.02237},
year = {2019}
}
Comments
15 pages, 2 figures, Weijie Du, Yang Li, Xingbo Zhao and James P. Vary, "Dynamical Nucleon-Pion System via Basis Light-Front Quantization", Proceedings of the International Conference `Nuclear Theory in the Supercomputing Era - 2018' (NTSE-2018), Daejeon, South Korea, October 29 - November 2, 2018, eds. A. M. Shirokov and A. I. Mazur. Pacific National University, Khabarovsk, Russia, 2019, p. 92