论文标题
Instanton hulonomies的核子核子潜力
Nucleon-nucleon potential from instanton holonomies
论文作者
论文摘要
我们使用Instanton和Skyrmion动力学的产物近似来从Skyrme模型中得出核子核子的相互作用。在此过程中,我们还计算了每个近似值中的Skyrmion动力学的经典电位和度量。这是第一次进行详细比较,结果显示了近似值之间的主要分歧。我们得出了八个低能核子核子相互作用电位,并将其与巴黎模型进行比较。对于Instanton近似,我们发现强烈的负相位和等异位自旋轨道电位,匹配的现象学模型和我们的几何直觉。其他电势的结果混合在一起,部分是由于此近似值中使用的零pion质量极限。
We derive the nucleon-nucleon interaction from the Skyrme model using the instanton and product approximations to skyrmion dynamics. In doing so, we also calculate the classical potential and metric for skyrmion dynamics in each of the approximations. This is the first time they have been compared in detail and the results show major disagreements between the approximations. We derive the eight low energy nucleon-nucleon interaction potentials and compare them with the Paris model. For the instanton approximation we find strong negative isoscalar and isovector spin-orbit potentials, matching phenomenological models and our geometric intuition. Results for the other potentials are mixed, in part due to the zero pion mass limit used in this approximation.