Abstract
We study the effect of representation mixing in the Skyrme 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 and can be fairly well reproduced within 3% accuracy. It is also demonstrated that the mixing effect is not negligible in decay processes of . In particular the effect of mixing with 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 are estimated to be smaller than those of by an order of magnitude due to the destructive interference between operators, although the kinematic factors are comparable.
- Received 9 June 2004
DOI:https://doi.org/10.1103/PhysRevD.70.074033
©2004 American Physical Society