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
Θ+
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
{
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
{
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.