Relativistic Collective Coordinate System of Solitons and Spinning Skyrmion

TL;DR

This paper develops a relativistic collective coordinate framework for solitons, specifically applying it to spinning Skyrmions, and demonstrates that relativistic effects cause measurable corrections to nucleon properties.

Contribution

It introduces a principle-based method for constructing relativistic collective coordinates and applies it to improve the quantization of spinning Skyrmions with relativistic corrections.

Findings

Relativistic corrections to nucleon properties are 5% to 20%.

The method accurately incorporates relativistic effects into soliton quantization.

Spinning motion causes observable deformation in baryons.

Abstract

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.