effects of hybrid confinement potential on predictable hadronic highly resonance states

Unlike light quarkonium bound states, the relativistic effects in highly massive quarkonium states, such as bottomia, in the large radial excitation states, cause bottomia to have a strong reaction and sensitivity to relativistic corrections. highly excited states have a larger separation distance between the constituent quark-antiquark pair in the bound state. therefore, they will have a relatively high velocity, which makes the relativistic kinetic energy and relativistic mass of quarks non-negligible. notably, in this study, one of the important behaviors of relativistic effects of predicted highly excited hadronic bound states of bottomia within the hybrid confinement potential is obtained. the high-energy refinement and relativistic effect modification of mass and kinematic energy are defined within the formalism of quantum oscillator principles and quantum field theory, utilizing the auxiliary variational method. relativistic corrections and effects on the shape of the potential due to relativistic mass are plotted and compared to the calculated non-relativistic plots. the values of the mass spectra of bottomia used in the potential plot are consistent with predictions from other theoretical approaches and explain the behavior of the results obtained by the used method.