We derive the nucleon-nucleon interaction from the Skyrme model using second order perturbation theory and the dipole approximation to skyrmion dynamics. Unlike previous derivations, our derivation accounts for the non-trivial kinetic and potential parts of the skyrmion-skyrmion interaction lagrangian and how they couple in the quantum calculation. We derive the eight low energy interaction potentials and compare them with the phenomenological Paris model, finding qualitative agreement in seven cases.

中文翻译：

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Skyrmion偶极子相互作用产生的核子-核子电势

我们使用二阶扰动理论和Skyrmion动力学的偶极近似从Skyrme模型推导出核子-核子相互作用。与以前的推导不同，我们的推导考虑了天体离子-天体离子相互作用拉格朗日的非平凡动力学和潜在部分，以及它们在量子计算中的耦合方式。我们推导了八种低能相互作用势，并将它们与现象学巴黎模型进行了比较，发现了七种情况下的定性一致性。