Relativistic Collective Coordinate System of Solitons and Spinning Skyrmion

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.

arXiv comment46 pages, 7 figures

References in corpus (7)

• Baryons and the Chern-Simons term in holographic QCD with three flavors
• A zero-mode quantization of the Skyrmion
• Nucleon deformation in finite nuclei
• The quantization of the B=1 and B=2 Skyrmions
• The collective quantization of three-flavored Skyrmions revisited
• The deformation of the interacting nucleon in the Skyrme model
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Cited by in corpus (5)

• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Long-range interactions of kinks
• Scattering of Skyrmions
• Collective coordinate quantization and spin statistics of the solitons in the $\mathbb{C}{P}^N$ Skyrme-Faddeev model
• Relativistic baryons in the Skyrme model revisited