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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We acknowledge valuable discussions with A. W. Thomas, M. Burkardt, P. Maris, K. Tuchin, T. Frederico, and L. Geng. This work was supported by the U.S. Department of Energy (DOE) under Grant No. DE-FG02-87ER40371. X.Z. is supported by new faculty startup funding by the Institute of Modern Physics, Chinese Academy of Sciences and by Key Research Program of Frontier Sciences, CAS, Grant No. ZDBS-LY-7020.
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