Properties of $B_c$ Mesons and Variational Constraints on Their Masses

Spectrum, radii, radial wave functions at origin, decay constants, and momentum widths for radial and orbital excited $B_c$ mesons are derived within non-relativistic quark model framework through finding numerical solution of the Schrödinger equation by shooting method. Masses of orbitally excited states are derived with a much simpler method that is developed by combining the uncertainty and variational principles. Masses of $B_c$ mesons are also calculated by using Momentum widths. Besides calculations, theoretical results are compared with the experimental observations which have implications for scalar form factors and leptonic decays of $B_c$ mesons.