Relativistic Collective Coordinate System of Solitons and Spinning Skyrmion

Understand

We consider constructing the relativistic system of collective coordinates of a field theory soliton on the basis of a simple principle: The collective coordinates must be introduced into the static solution in such a way that the equation of motion of the collective coordinates ensures that of the original field theory.

• As an illustration, we apply this principle to the quantization of spinning motion of the Skyrmion by incorporating the leading relativistic correction to the rigid body approximation.
• We calculate the decay constant and various static properties of nucleons, and find that the relativistic corrections are in the range of 5% -- 20%.
• We also examine how the baryons deform due to the spinning motion.