Abstract
We present a toy model of baryons using singular solutions of the SU(2) Yang-Mill-Higgs (YMH) field equations, which bears some similarity to the Schwarzschild solution of general relativity. The SU (2) solutions are used as a background field into which a scalar, SU (2) test particle is placed. This can be compared to placing an electrically charged particle in a Coulomb background field, except the SU (2) YMH solutions are singular on a spherical membrane thus trapping (confining) the test particle inside the sphere in a manner similar to certain bag models of baryons. An interesting consequence of this model is that the composite system is a fermion even though the original Lagrangian contains only bosonic fields.
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Singleton, D., Yoshida, A. A Schwarzschild-like model for baryons. Found Phys Lett 15, 263–275 (2002). https://doi.org/10.1023/A:1021083604459
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DOI: https://doi.org/10.1023/A:1021083604459