Low Energy Level Of Multi-quark Baryon Spectrum In The Chiral SU(3) Quark Model

In1996, ZHANG Zong-Ye Et and others who proposed the use of chiral SU(3) quark model constructed between the particles interaction potential, this model is widely used in the study of particle scattering and spectroscopy. Applying this model consisting of calculation of three quark baryon spectrum can be well explained most of the energy levels in low baryon states, but with the increase in energy levels, the theoretical calculations three quark baryon spectrum with the experimental value more and more different. The QCD suggests that highly excited state baryon states in addition to internal excitation of the three quarks may also be generated from the vacuum one pair or more pairs of positive and negative quark qq, If the excited states of three quarks only baryon states a nearly Like, into a five-quark system from the three quarks with the vacuum in the quark-antiquark structure excited state barycm state two approximation; And inelastic scattering experiments show that the baryon does not contain only three quark components, Pentaquark components may also exist; DORiska, Fang Wang, Jia-Lun Ping, and others use different models of five quark state baryon spectrum were studicd: ZHANG Zong-Yc and others used of chiral SU(3) quark model studied Minimum of five quarks uuuds. The application of chiral SU (3) quark model calculation has positive parity and negative parity of five quark state baryon spectrum related research is still relatively small.This article use the new group theory-eigenvalue function method,Calculated construct the five-quark baryon spectrum required the permutation group standard foundation, S4group CG coefficient,And procedural2-9particle configuration standard foundation of the permutation group,and3-5particles of permutation group CG Coefficients; Use of this new group theory to construct the qqqq—q structure of Pentaquark states.Procedures for com-puting the chiral SU (3) contained in the quark model of the interaction potential operator matrix element, and then have the L=0and L=1Pentaquark state baryon spectrum. This article argues that the baryon is only contains three quarks and consists of Pentaquark, and does not consider the quark-antiquark annihilation potential, in this condition are three quarks and Pentaquark energy spectrum of linear fitting.Fitting results show that taking into account the five-quark components of baryons,the use of chiral SU (3) quark model to calculate the results can better explain some of the baryon excited states.But there are some deviations, and needed model for further expansion to include the creation and annihilation potential contribution.