  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.
