拓展的Skyrme模型中的Skyrmion与其量子化

考察了包含手征流非对易项的拓展Skyrme模型。 在推导出相应Skyrme模型运动方程的基础上对模型中的球对称Skyrmion孤子进行了数值模拟。 对模型进行零模(Zero-mode)量子化之后, 计算核子的若干静态性质, 并讨论了拓展Skyrme模型中手征流非对易项与QCD之间的联系。 This paper considers the extended Skyrme model with the anti commutator of the chiral current. By deducing the equations of motion of extended Skyrme model, the spherically symmetric Skyrmion was numerically simulated. After the Zero-mode quantization of the model, the static properties of nucleons were calculated and the connection of the anti commutator of the chiral current with QCD was discussed.     

Analytical Solution for the SU（2） Hedgehog Skyrmion and Static Properties of Nucleons

An analytical solution for symmetric Skyrmion is proposed for the SU（2） Skyrme model, which takes the form of the hybrid form of a kink-like solution, given by the instanton method. The static properties of nucleons is then computed within the framework of collective quantization of the Skyrme model, in a good agreement with that given by the exact numeric solution. The comparisons with the previous results as well as the experimental values are also presented.