Light-Cone Quark Model Analysis of Radially Excited Pseudoscalar and Vector Mesons

Abstract

We present a relativistic constituent quark model to analyze the mass spectrum and hadronic properties of radially excited u and d quark sector mesons. Using a simple Gaussian function as a trial wave function for the variational principle of a QCD motivated Hamiltonian, we obtain the mass spectrum consistent with the experimental data. To do the same for several observables such as decay constants and form factors, it seems necessary to include both Dirac and Pauli form factors on the level of constituent quarks. Taking into account the quark form factors, we thus present the generalized formulas for the rho meson decay constant and form factors as well as the $\pi \gamma$ transition form factor. We also predict several hadronic properties for the radially excited states.

18 pages, 7 figures; submitted to Phys. Rev. D

References in corpus (3)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Mixing angles and electromagnetic properties of ground state pseudoscalar and vector meson nonets in the light-cone quark model
• Optimal Renormalization Scale and Scheme for Exclusive Processes

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• Excited Scalar and Pseudoscalar Mesons in the Extended Linear Sigma Model
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• Relevance of various Dirac covariants in hadronic Bethe-Salpeter wave functions in electromagnetic decays of ground state vector mesons
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• Deuteron binding energies and form factors from light front field theory
• Quasi-two-body decays $B_c\to D_{(s)}[\rho (770),\rho (1450),\rho (1700)\to ]\pi \pi$ in the perturbative QCD factorization approach
• Study of the in-medium nucleon electromagnetic form factors using a light-front nucleon wave function combined with the quark-meson coupling model
• Spectroscopy of excited quarkonium states in the light-front quark model
• Branching ratios and CP asymmetries in charmless nonleptonic B decays to radially excited mesons