Basis light-front quantization for a chiral nucleon-pion Lagrangian
Weijie Du, Yang Li, Xingbo Zhao, Gerald A. Miller, James P. Vary
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.
Topics & Concepts
PhysicsNucleonPionWave functionQuantization (signal processing)Momentum (technical analysis)Invariant massInvariant (physics)Particle physicsQuantum electrodynamicsMathematical physicsQuantum mechanicsMathematicsEconomicsFinanceAlgorithmNuclear physics research studiesQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies