A Relativistic Wave Equation for the Skyrmion
| dc.creator | Rajeev, S. G. | |
| dc.date | 2008-01-29 | |
| dc.date.accessioned | 2026-07-07T11:55:41Z | |
| dc.date.available | 2026-07-07T11:55:41Z | |
| dc.description | 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 $SU(2)\approx S^3$ 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. | |
| dc.identifier | https://arxiv.org/abs/0801.4538 | |
| dc.identifier | http://arxiv.org/abs/0801.4538 | |
| dc.identifier | AnnalsPhys.323:2873-2880,2008 | |
| dc.identifier | doi:10.1016/j.aop.2008.02.005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/205327 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Nuclear Theory | |
| dc.title | A Relativistic Wave Equation for the Skyrmion | |
| dc.type | text |