Skyrme模型的求解和核子靜態(tài)性質(zhì)的計(jì)算.pdf

1、西北師范大學(xué)碩士學(xué)位論文Skyrme模型的求解和核子靜態(tài)性質(zhì)的計(jì)算姓名：吉永林申請學(xué)位級別：碩士專業(yè)：理論物理指導(dǎo)教師：賈多杰2009-05AbstractQuantum Chromodynamics(QCD) was believed to be the fundamental theory of thestrong interaction with its successful applications in high energy

2、 region due to the asymp-totically freedom of QCD. In low energy it remains challenge to calculate the hadronicproperties from QCD due to the infrared confinement and the strong-conping fearture ofQCD. recently, the Skyr

3、me model has played an important role in physics,in particular innuclear physics as a successful effective field theory of low energy strong interaction. Thisis based on the fact that the theory can be viewed as a non-li

4、near sigma model whichdescribes the pion physics.In this model the baryon is identified as a topological solitonmade of pions and baryon number is identified as roll number of topological soliton. Thisdissertation is div

5、ided into two parts: in the first part, we studied SU(2) Skyrme modelwith mass and massless; in the second part, we studied movement equation of Faddeevmodel with Hopf charge is 1 and 2, and computed the numerical soluti

6、ons of the equa-tion. A new approximate analytical solution of profle function was obtained by utilizingtentative function method.In chapter one, the basic concepts of gauge field theory was introduced in brief and thest

7、udy of nonperturbative field theory was reviewed.In chapter two, the nonlinear sigma model get long with Skyrme model was reviewed. wecomputed the numerical solutions of the field equation that SU(2) Skyrme model withmas

8、s and massless with bayron number B=1. A approximate analytical solutions wellagrees with numerical solution was obtained by using tentative function method. wecomputed nucleon static state physics quantity in virtue of

9、approximate analytical so-lutions, it accord with the experiment value. finally, we computed the solutions of theSkyrme model with high baryon number base on rational maps.In chapter three, the field equation of the Skyr

10、me-Faddeev model with Hopf charge Q=1,2was obtained in virtue of rational maps, and computed solutions of the equation by usingnumerical and tentative function methods.Key words? nonperturbative field theory, Skyrme mode