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arXiv · 1911.10762

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

Weijie Du·Yang Li·Xingbo Zhao·Gerald A. Miller·James P. Vary
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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.

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Weijie Du, Yang Li, Xingbo Zhao, Gerald A. Miller, James P. Vary. 2019-11-25. Basis Light-Front Quantization for a Chiral Nucleon-Pion Lagrangian. https://doi.org/10.1103/physrevc.101.035202

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