The properties of a hadron

Using the analogy of a well-known mathematical formalism, an analytical for m of the probability density of a hadron as a quarkonium system has been su ggested which corresponds to that obtained from the statistical model. The aforesaid prescription also offers the necessary framework to incorporate d ifferent orders of approximations in it. Unlike all existing theoretical ap proaches, the model reveals the fractal characteristics of a hadron, like t he fractal dimension D-F, correlation dimension D-C and the anomalous dimen sion D-A. The direct physical bearings of these dimensional quantities on t he physical parameters related to the recent experimental data have also be en discussed.