Mixing angles and electromagnetic properties of ground state pseudoscalar and vector meson nonets in the light-cone quark model

Abstract

Both the mass spectra and the wave functions of the light pseudoscalar $(\ensuremath{\pi},K,\ensuremath{\eta},{\ensuremath{\eta}}^{\ensuremath{'}})$ and vector$(\ensuremath{\rho}{,K}^{*},\ensuremath{\omega},\ensuremath{\varphi})$ mesons are analyzed within the framework of the light-cone constituent quark model. A Gaussian radial wave function is used as a trial function of the variational principle for a QCD-motivated Hamiltonian which includes not only the Coulomb plus confining potential but also the hyperfine interaction to obtain the correct $\ensuremath{\rho}$-$\ensuremath{\pi}$ splitting. For the confining potential, we use the (1) harmonic oscillator potential and (2) linear potential and compare the numerical results for these two cases. The mixing angles of $\ensuremath{\omega}$-$\ensuremath{\varphi}$ and $\ensuremath{\eta}$-${\ensuremath{\eta}}^{\ensuremath{'}}$ are predicted and various physical observables such as decay constants, charge radii, and radiative decay rates, etc., are calculated. Our numerical results in the two cases (1) and (2) are overall not much different from each other and are in good agreement with the available experimental data.