The Breathing Modes of the $B=2$ Skyrmion and the Spin-Orbit Interaction

Abstract

The coupling of the breathing and rotational modes of the skyrmion-skyrmion system leads to a nucleon-nucleon spin-orbit interaction of short range, as well as to spin-orbit potentials for the transitions $NN\to N(1440)N$, $NN\to NN(1440)$ and $NN\to N(1440)N(1440)$. The longest range behaviour of these spin-orbit potentials is calculated in closed form.

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