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In this article, the mass spectra of mesons with one or two heavy quarks andtheir diquarks partners are estimated within a non-relativistic framework bysolving Schr\"odinger equation with an effective potential inspired by asymmetry preserving Poincar\'e covariant vector-vector contact interactionmodel of quantum chromodynamics. Matrix Numerov method is implemented for thispurpose. In our survey of mesons with heavy quarks, we fix the model parameterto the masses of ground-states and then extend our calculations for radialexcitations and diquarks. The potential model used in this work gives resultswhich are in good agreement with experimental data and other theoreticalcalculations.

Mass Spectra of One or Two Heavy Quark Mesons and Diquarks within a Nonrelativistic Potential Model