Charmonia in a Contact Interaction

Abstract

For the flavour-singlet heavy quark system of charmonia, we compute the masses of the ground state mesons in four different channels: pseudo-scalar (${\eta }_c(1S)$), vector ($J/\Psi (1S)$), scalar (${\chi }_{c_0}(1P)$) and axial vector (${\chi }_{c_1}(1P)$), as well as the weak decay constants of the ${\eta }_c(1S)$ and $J/\Psi (1S)$ and the charge radius of ${\eta }_c(1S)$. The framework for this analysis is provided by a symmetry-preserving Schwinger-Dyson equation (SDEs) treatment of a vector$\times$vector contact interaction (CI). The results found for the meson masses and the weak decay constants, for the spin-spin combinations studied, are in fairly good agreement with experimental data and earlier model calculations based upon Schwinger-Dyson and Bethe-Salpeter equations (BSEs) involving sophisticated interaction kernels. The charge radius of ${\eta }_c(1S)$ is consistent with the results from refined SDE studies and lattice Quantum Chromodynamics (QCD).

11 pages, 2 figures. arXiv admin note: text overlap with arXiv:1101.4244 by other authors

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• ${\eta }_c$ Elastic and Transition Form Factors: Contact Interaction and Algebraic Model
• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors
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• Aspects of open-flavour mesons in a comprehensive DSBSE study
• Form Factors and Generalized Parton Distributions of Heavy Quarkonia in Basis Light Front Quantization
• Electromagnetic Form Factors and Charge Radii of Pseudoscalar and Scalar Mesons: A Comprehensive Contact Interaction Analysis
• A symmetry preserving contact interaction treatment of the kaon
• The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking
• Heavy + heavy and heavy + light pseudoscalar to vector semileptonic transitions
• Contact interaction analysis of octet baryon axialvector and pseudoscalar form factors
• An approach to calculation of mass spectra and two-photon decays of $c\overline{c}$ mesons in the framework of Bethe-Salpeter Equation
• Heavy+light pseudoscalar meson semileptonic transitions
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• Charming quasi-exotic open-flavor mesons
• Mass Spectra of One or Two Heavy Quark Mesons and Diquarks within a Nonrelativistic Potential Model
• A contact interaction model for the $\eta$ and ${\eta }^{\prime }$ mesons in a SDE-BSE approach to QCD: masses, decay widths and transition form factors
• Heavy-light mesons spectra in a contact interaction
• Structure of the orbital excited $N^{\ast }$ from the Schwinger-Dyson equations
• The Charm and Beauty of Strong Interactions
• Unified analysis of screening masses for vector and axial-vector mesons and their diquark partners in the Contact Interaction model
• Mesons and Baryons: Parity Partners
• Prospects for observing the ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ decay at the HL-LHC