Constituent Quark Model Study Of Heavy-baryon

Properties of light baryons (composed by u,d,s-quark) have been extensively studied by various models based on the constituent quark picture in 20-th century and great success has been achieved. A agreement between experimental values and the calculated results of constituent quark model is obtained for baryon spectra and strong, electromagnetic, weak decay of baryons. For heavy-mesons, the model also gives results consisted with experiments. The heavy-baryon is less touched due to the lack of experiments. Though its studying begins years ago,it attract more attention until the 1990s. with the advance of experimental techniques, the experimental data on heavy-baryon have accumulated recently. A large amount of work is devoted to heavy-baryon in the last decade. Heavy-baryon is a good place to verify our understanding of quantum chromodynamics (QCD). It also help us to study the changes of interaction between quarks from light-quark systems to heavy-quark systems. It is also useful to study the calculation method of three-body problem.The present work is to calculate the mass spectra of heavy-baryons in the framework of constituent quark model. The three-body Schrodinger equation was solved numerically by employing the Gaussian Expansion Method (GEM) with the Rayleigh-Ritz variational principle. The constituent quark model has been successfully applied to describe the properties of light baryons. The model should be more suitable for heavy-baryon system because the relativistic effect is reduced greatly due to the appearance of heavy-quark. The GEM was proposed 20 years ago to carry out non-adiabatic three-body calculations of muonic molecules and muon-atomic collisions. It has been a profuse theory by some years' development and has been successfully applied for bound and scattering states of few-body systems. A well chosen set of Gaussian basis functions could forms an approximate complete set in a finite coordinate space,so it can describe accurately short-range correlations and long-range asymptotic behavior as well as highly oscillatory character of wave functions in the bound and the scattering states of the systems. As a high precision method used in few-body systems,it get many successful applications. By combining the constituent quark model and GEM, a good description of heavy-baryon spectra is expected. The goal of present work to describe the experimental data by the constituent quark model and verify the flavor-independence of color confinement. On the other hand, the masses of new heavy-baryons are predicted and hope it can be useful for experiments. We have calculated the masses of all the single heavy baryons, consisting of two light quarks (u, d, s) and one heavy quark (c, b). The results show that the calculated masses agree with the available experimental data. So the heavy baryons can be described well in the constituent quark models. The predicted masses of heavy baryons are also consistent with the previous theoretical results, some discrepancies are also exist. Further experiments are needed to discriminate the predictions.