Properties of Bc Mesons and Variational Constraints on their Masses

TL;DR

This paper investigates the properties of Bc mesons, including their spectrum, decay constants, and wave functions, using non-relativistic quark models and variational methods, and compares theoretical results with experimental data.

Contribution

It introduces a simplified variational approach combining uncertainty and variational principles to calculate Bc meson masses.

Findings

Calculated masses of orbitally excited Bc states.

Derived decay constants and wave functions at origin.

Compared theoretical results with experimental observations.

Abstract

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 Schrodinger equation by shooting method. Masses of orbitally excited states are derived with a more 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.