The Study Of Skyrme Model And Compute Of The Nucleon Static State Physics Quantity

Quantum Chromodynamics(QCD) was believed to be the fundamental theory of the strong interaction with its successful applications in high energy region due to the asymptotically freedom of QCD.In low energy it remains challenge to calculate the hadronic properties from QCD due to the infrared confinement and the strong-conping fearture of QCD.recently,the Skyrme model has played an important role in physics,in particular in nuclear physics as a successful effective field theory of low energy strong interaction.This is based on the fact that the theory can be viewed as a non-linear sigma model which describes the pion physics.In this model the baryon is identified as a topological soliton made of pions and baryon number is identified as roll number of topological soliton.This dissertation is divided into two parts:in the first part,we studied SU(2) Skyrme model with mass and massless;in the second part,we studied movement equation of Faddeev model with Hopf charge is 1 and 2,and computed the numerical solutions of the equation. A new approximate analytical solution of profle function was obtained by utilizing tentative function method.In chapter one,the basic concepts of gauge field theory was introduced in brief and the study of nonperturbative field theory was reviewed.In chapter two,the nonlinear sigma model get long with Skyrme model was reviewed,we computed the numerical solutions of the field equation that SU(2) Skyrme model with mass and massless with bayron number B=1.A approximate analytical solutions well agrees with numerical solution was obtained by using tentative function method,we computed nucleon static state physics quantity in virtue of approximate analytical solutions, it accord with the experiment value,finally,we computed the solutions of the Skyrme model with high baryon number base on rational maps.In chapter three,the field equation of the Skyrme-Faddeev model with Hopf charge Q=1,2 was obtained in virtue of rational maps,and computed solutions of the equation by using numerical and tentative function methods.