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

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

1997-11-24

arxiv.org/abs/hep-ph/9711450v5

Phys.Rev. D59 (1999) 074015

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 10 figures, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.59.074015

Both the mass spectra and the wave functions of the light pseudoscalar ($\pi,K,\eta,\eta'$) and vector($\rho,K^{*},\omega,\phi$) 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 $\rho-\pi$ splitting. For the confining potential, we use (1) harmonic oscillator potential and (2) linear potential and compare the numerical results for these two cases. The mixing angles of $\omega-\phi$ and $\eta-\eta'$ are predicted and various physical observables such as decay constants, charge radii, and radiative decay rates $etc.$ are calculated. Our numerical results in two cases (1) and (2) are overall not much different from each other and have a good agreement with the available experimental data. use (1) harmonic oscillator potential and (2) linear potential and compare the numerical results for these two cases. The mixing angles of $\omega-\phi$ and $\eta-\eta'$ are predicted and various physical observables such as decay constants, charge radii, and radiative decay rates $etc.$ are calculated. Our numerical results in two cases (1) and (2) are overall not much different from each other and have a good agreement with the available experimental data.

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