Hadronic properties of the ground state pseudoscalar and vector B mesons in the light front quark model

Abstract

We present a relativistic light-front quark model to study the hadronic properties of the newlinepseudoscalar and vector B mesons. B mesons are the only mesons containing quarks newlineof the third generation and thus their decays provide a unique opportunity to measure newlinethe CKM matrix elements and to test CP violation in the Standard Model. The theoretical newlineanalysis of CP violating effects in rare B decays requires knowledge of the transition newlineform factors. Also, the quark distribution amplitudes of heavy mesons provide an understanding newlineof the decay constants that are considered as the direct source of information newlineon the CKM matrix elements. newlineWe investigate the mass spectra, decay constants and the twist-2 DAs of pseudoscalar newlineand vector light (and#960;, K) and heavy (D, Ds, B, Bs) mesons within the framework of LFQM. newlineWe constraint our LFQM by the variational principle to the QCD-motivated effective newlineHamiltonian with the exponential-type confining potential plus the Coulomb potential newlineand the hyperfine interaction. We use a Gaussian smearing function to weaken the singularity newlineof the Dirac and#948; function in the hyperfine interaction so as to avoid the issue of newlinenegative infinity. We calculate the mass spectra of the ground state pseudoscalar and vector newlinelight and heavy mesons as well as their corresponding decay constants by fixing the newlinemodel parameters in the exponential-type confining potential. The fixation of the model newlineparameters is achieved by utilizing the mixed wave function and#934; of 1S, 2S and 3S HO newlinestates. We also compare our results with the available experimental data and the other newlinetheoretical model predictions. We note that our LFQM predictions are comparable to each newlineother regardless of the confining potential type as far as the efficacy of model prediction newlineis achieved by allowing the sufficient number of HO basis functions for the t