Study Of The Ground Binding Energy Of _Λ～3H, _Λ～4H, _Λ～4He Based On Chiral SU(3)Quark Model With Few-body Theory Method

In the first place, this paper briefly summarizes development process of the hypernuclei physics and current research achievement, secondly followed by respectively illustrating the chiral SU(3) quark model,the Resonating Group Method (RGM) and how to extract the Y-N interactions'nonlocal potential . Based on these, the following is my main study: on the base of harmonic oscillator function, to study the ground energy ofΛ3 H ,Λ4H,Λ4Hewith few-body theory method and Y-N interactions'nonlocal potential.People often take the phenomenological interaction as a general method in the study of Y-n interaction. But so many free parameters make it inadequate in describling the nonpertubative QCD behavior in the short and medium range of interaction. Although the calculations succeed in explaining some properties of some hypernucleis, it is impossible to agree with all the experimental data. To find a general model is always one of the goals of stude of hypernuclei.Now, the study in the hypernuclei physics goes deep into the quark level from the baryon level with the development of particle physics. It is generally considered that the basic theory of strong interaction is based on the Quantum Chromdynamics of free degree of quark and gluon and norm field theory. This theory is successful in the high energy region , but how to apply it to the low energy region is far unsolved problem. We know that QCD at low energy regions deep non-pertubative. In the recent years ,using latticesite norm theory to calculate the non-pertubative effect has already obtained some grate progress, it can not resolve this problem and still need fall back on the model theory in the actual application. Among these models, the constituent quark model is quite successful. In principle, the constituent quark mass m q and quark-quark interaction are derived from the QCD Lagrangian. But as long as the quark carries constituent mass, which is about several hundred Mev, the chiral symmetry of Lagrangian is broken. It goes without saying that the chiral symmetry is a very important symmetry in the QCD theory. That is to say , it is necessary to find a Lagrangian that can give constituent quark mass and quark-chiral interaction and match request of QCD theory .In1960, GellMann and Levy gave the method to restore the chiral symmetry inσmodel on the nuclei level of structure . Nuclei field was changed into quark field ,the oldσmodel would be come out to beσmodel on quark level and it has been got to be origin for the chiral symmetry model. As a model with QCD'inspirit ,the constituent quark model has been turned out to be quite successful in studying N-N interaction. But in this model, there are still problems, such as, the constituent quark mass is not clear. Recentally, it is an aware that restoring the chiral symmetry in the Lagrangian ,which is an important symmetry of the quark-chiral interaction ,can resolve some these problems.Fernandez et. gave quark–chiral interaction based on the linear relation inσmodel and consequently improved the calculated N-N scattering result. Zhang et. Futher expanded this model to chiral SU(3) quark model. With an unified set of model parameters, they obtained results with reasonably explained the partial ground properties of single baryon and agreed with the experimental N-N scattering phase shift and Y-N scattering cross section. So a new situation has begun to appear since this model succeeded in explaining N-N interaction, N-Y interaction, Y-Y interaction in the same method.To check the reasonableness of the chiral SU(3) quark model futher, the nonlocal potential ofΛ?N interaction based on SU(3) quark model is calculated with RGM method in the paper. Then, I take nonlocal potential asΛ?N interaction potential and give numerical result for element of matrix; Gauss potential as N-N interaction potential and give analytic result for element of matrix with few-body theory method. Through diagonalization of H matrix, I study the ground binding energy ofΛ3 H ,Λ4H,Λ4He.The truth shows that the chiral SU(3) quark model is right with the comparison of experimental results.