Prediction of Toponium Levels Using a Logarithmic Potential Modeel

Abstract: In this paper, the energy levels of the resonant states of toponium, composed of top quark and anti-top quark, are given on the basis of an empirical law. We predict that the mass of the n-th resonant state of toponium is given by Mass(n)=0.81ln}(n) + 347GeV from the empirical law on the resonance level of the bottomonium. The cross-section produced by electron-positron collisions is 3X10^{-9}mb and an electron-positron collider would need an energy of 270GeV X 270 GeV to find out the resonance state of toponium. This prediction is based on the empirical law that the energy levels of hadron resonance states are expressed in logarithms. An interpretation of the appearance of quark resonance states in logarithmic intervals is also given in the paper. An application of this model, we present that the Okubo-Zwig-lizuka law can be viewed as a creation 11and annihilation problem of the two-dimensional resonance planes.