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Elsevier Masson, Annals of Physics, 11(323), p. 2873-2880

DOI: 10.1016/j.aop.2008.02.005

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A Relativistic Wave Equation for the Skyrmion

Journal article published in 2008 by S. G. Rajeev
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We propose a relativistically invariant wave equation for the Skyrme soliton. It is a differential equation on the space $R^{1,3}\times S^3$ which is invariant under the Lorentz group and isospin. The internal variable valued in $SU(2)≈ S^3$ describes the orientation of the soliton. The mass of a particle of spin and isospin both equal to $j={1\over 2},{3\over 2}.$ is predicted to be $M=m\sqrt{1+K_2j(j+1)\over 1+K_1j(j+1)}$ which agrees with the known spectrum for low angular momentum. The iso-scalar magnetic moment is predicted to be $-{K_1\over 4m}{\mathbf Σ}$, where ${\mathbf Σ}$ is the spin.