Spinning skyrmions and the Skyrme parameters
Spinning skyrmions and the Skyrme parameters
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旋转斯格明子和 Skyrme 参数
DOI：
10.1016/j.physletb.2005.08.097
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发表时间：
2005
影响因子：
4.4
通讯作者：
P. Sutcliffe
中科院分区：
文献类型：
--
作者：
R. Battye;S. Krusch;P. Sutcliffe
固定斯格明子模型参数的传统方法需要旋转斯格明子的能量来再现核子和δ质量。几乎专门使用的标准 Skyrme 参数将π介子质量固定为其实验值，并通过将旋转的斯格明子近似为刚体来拟合其余两个 Skyrme 参数。在这封信中，我们删除了刚体近似并进行数值计算，允许旋转的斯格明子变形并打破球对称性。结果表明，如果将π介子质量设置为其实验值，则对于任何 Skyrme 参数值都无法重现核子和δ质量；常用的 Skyrme 参数只是刚体近似的产物。然而，如果π介子质量远大于其实验值，则可以再现核子和δ质量。该结果对多斯格明子的结构具有显着影响。
The traditional approach to fixing the parameters of the Skyrme model requires the energy of a spinning skyrmion to reproduce the nucleon and delta masses. The standard Skyrme parameters, which are used almost exclusively, fix the pion mass to its experimental value and fit the two remaining Skyrme parameters by approximating the spinning skyrmion as a rigid body. In this Letter we remove the rigid body approximation and perform numerical calculations which allow the spinning skyrmion to deform and break spherical symmetry. The results show that if the pion mass is set to its experimental value then the nucleon and delta masses cannot be reproduced for any values of the Skyrme parameters; the commonly used Skyrme parameters are simply an artifact of the rigid body approximation. However, if the pion mass is taken to be substantially larger than its experimental value then the nucleon and delta masses can be reproduced. This result has a significant effect on the structure of multi-skyrmions.