Dynamical Nucleon-Pion System via Basis Light-Front Quantization
arXiv:1908.02237
The paper applies Basis Light-Front Quantization to a chiral nucleon‑pion model, solving for the proton’s mass and light‑front wave function and using it to compute the proton’s parton distribution function.
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.
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