Constituent Quark Model Study Of The Bottomonium-like Resonance

The bottomonium–like resonances observed in position-electron collision have been largely accumulated in recent years,and the observed resonances provide the opportunity to theoretically identify their structures.The quantum chromodynamics(QCD)is in present regard to the foundational theory of strong interaction,and its basic features are asymptotic freedom in short-range region,chiral symmetry breaking in intermediate range region and quark confinement at long-range region.Hence the perturbative QCD(pQCD)can be used to treat the high energy process,and however,for the low energy process,the pQCD fails due to QCD is highly nonperturbative,the nonperturbative theory has to be developed,and is much more complex than the pQCD and so far is hardly treated by a more mature approach.In present,various quark models with QCD-spirit have been developed to treat low energy processes,and hadron becomes of course natural laboratory,so within the framework of the constituent quark model,the detailed study on hadron spectrum is meaning.The constituent quark model adopted in this thesis embodies characteristics of asymptotic freedom and the confinement of QCD.The basic integrant is the one-gluon exchange potential in the short-range region,and the linear potential in the long-range region with the assumption of the scalar and vector mixing confinement.Given the form of potential,including the color magnetic term,spinorbital coupling term,and spin tensor term,by numerically solving coupled channel Schrodinger equation as performed by FESSDE program,we can obtain the energy level of the ground and excited states and the corresponding wave functions.Based on numerical results,we analysis the mixing effect of partial waves induced by the spin tensor term on mass spectra of bottomonium.The thesis is arranged as follows:In the first part,a briefly review on the development of hadron physics is given and the recently used non-perturbation methods are briefly introduced.In the second part,the constituent quark model is introduced in detail,giving the potential of non-relativistic quark model used in the thesis.In the third part,numerical results are given by solving coupled-channel Schrodinger and compared with the available experimental data.Finally,in the appendix,the computational principle of the FESSDE program is given.