The effect of virtual B ¯B meson pairs on the Upsilon spectrum

Abstract

This work studies the impact of B ¯B meson pairs on the Upsilon Υ spectrum. First we solve the radial Schrodinger equation with a Cornell potential to compute the spectrum, reproducing known levels accurately. Then we analyze the effect of string breaking through both adiabatic and coupled channel approaches. The adiabatic approach uses diagonalization to obtain effective potentials, while the coupled-channel formalism solves the system of two coupled Schr¨odinger equations in order to model the mixing dynamically. Numerical solvers developed for each method reveal that virtual meson pairs alter the energy states. The obtained results provide theoretical predictions that are relevant for future experiments and lattice QCD simulations.