Baryon Resonances Spectrum In The Large N Expansion

In this thesis we studied resonance spectrum and baryon masses under in the large NC QCD and Diakonov’s large N collective excitation theory, including the phenomenological physics by soliton’s collective quantization. We present an interpretation of the meson tensor potential of the Diakonov’s baryon spectrum theory, and using numerical optimization of the parameters in the baryon resonance spectrum formula, we improved the large NC mean-field approximation baryon resonance spectrum. Finally, the comparisons of the calculated results with the large NC QCD mass relations and the data of baryon masses are given.The first chapter: First of all, this paper reviewed the elementary particles and four forces in nature. Secondly, the status of quarks and QCD are reviewed, including the physics of the large N expansion of QCD. Finally, we introduces the basic status of baryon spectra.The second chapter: We first retrospect the large N method and consistency condition.Then, regarding the 1/N expansion of QCD and the SU(2NF) symmetry breaking we studied SU(3) baryon mass formula, the error analysis. The comparison with the experimental data are presented.The third chapter: this chapter mainly studied the baryon resonance of the large collective excitation theory. First of all, we explained the implication of meson tensor potential. Secondly, the numerical optimization of parameters for baryon resonance spectrum formula is given. Finally, we compare the results with the large N QCD mass relations. A test via the Gell-Mann-Okubo formula is given for the baryon spectra that is obtained from our results, nonrelativistic quark model, lattice QCD and data is given.The fourth chapter:We summarized the main work of this thesis and give an outlook of the future in this field.