Determination of the optimal parameters for meson spectra analysis using the hybrid Genetic Algorithm and Newton Method

A computer program has been developed using a hybrid method of the Genetic Algorithm and Newton Method to determine the optimal parameter sets that are essential to the analysis of meson spectra. Using the developed program, the effective quark masses and the corresponding strong coupling constants were recalculated to best fit, in the least squares sense, the observed masses of four different systems, <u(u)over bar>, <s(s)over bar>, <c(c)over bar>, and <b(b)over bar>, in the 1994 Particle Data. Through comparison with previous work, it was found that the developed program runs very fast and efficiently and that its results are much more accurate than previous results. It can be used as a fast and accurate computational tool to verify a newly proposed theory or to analyze a model. Using this program, we found that the Upsilon(11019) state must be assigned to the 6(3)S(1) <b(b)over bar> state.