A Study Of The Quarkonium From The Basis Light-Front Quantization Approach

Non-perturbative calculation of quantum chromodynamics(QCD)provides in-sights into the fundamental structure of hadrons.In recent years,Basis Light-front Quantization(BLFQ)has emerged as a non-perturbative approach for solving problems in the strong coupling regime.BLFQ is not only a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons,but also a novel method for simulating quantum field theory on a computer.We study the properties of the heavy quarkonium and B_cmeson as relativistic bound states in a light-front quantized Hamiltonian formalism.Our Hamiltonian contains the kinetic energy terms,a trans-verse confining potential motivated by holographic QCD,a complementary longitudinal confining potential,and the quark-gluon interactions based on QCD.Our basis space includes the lowest two Fock sectors,namely|q(?)> and |q(?)g>.Based on obtained the light-front wave function(LFWFs),we calulate the quarkonium mass spectrum,decay constant and electromagnetic radius,which are comparable to those from the particle data group(PDG).Next,we calculate the parton distribution function(PDF)of the quark and of the gluon in the heavy quarkonium based on the lowest-two-Fock-sector LFWF.Finally,the renormalization in BLFQ is discussed.