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arXiv · 1908.02237

Dynamical Nucleon-Pion System via Basis Light-Front Quantization

Weijie Du·Yang Li·Xingbo Zhao·James P. Vary
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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.

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Weijie Du, Yang Li, Xingbo Zhao, James P. Vary. 2019-08-06. Dynamical Nucleon-Pion System via Basis Light-Front Quantization. https://arxiv.org/abs/1908.02237

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