Representation Mixing and Exotic Baryons in the Skyrme Model

Abstract

We study the effect of representation mixing in the SU(3) Skyme model by diagonalizing exactly the representation-dependent part. It is observed that even without the next-to-leading order symmetry breaking terms the low-lying baryon masses as well as the recently discovered $\Theta +$ and $\Cascade_{\bar{10}}$ can be fairly well reproduced within 3% accuracy. It is also demonstrated that the mixing effect is not negligible in decay processes of $\{\overline{10}\}$. In particular the effect of mixing with $\{27\}$ is found to be quite large. These results are compatible with the second-order perturbation scheme. The decay widths are found to be sensitive to the mass values. The decay widths of $\{\overline{10}\}$ are estimated to be smaller than those of $\{10\}$ by an order of magnitude due to the destuctive interference between operators although the kinematic factors are comparable.

tables changed, discussions and references added, version to appear in PRD

References in corpus (8)

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