Relativistic Calculation of Pentaquark Widths
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We calculate the widths of the various pentaquarks in a relativistic model in which the pentaquark is considered to be composed of a scalar diquark and a spin 1/2 triquark. We consider both positive and negative parity for the pentaquark. There is a single parameter in our model which we vary and which describes the size of the pentaquark. We obtain quite small widths for the decay Theta^(+) -> N+K^(+) and for Theta_c^0 -> P+D^{*-} consistent with the experimental situation. For the sum of the decay widths for Xi(bar)^(--) -> Xi^(-) + pi^(+) and Xi(bar)^(--) -> Sigma^(-) + K^(-) we find values of the order of 4-8 MeV for pentaquarks of the characteristic size considered in this work. (The experimental situation with respect to te observation of the Xi(bar)^(--) is somewhat uncertain at this time.) We also provide results for the decays N^(+) -> N + pi and N_s^(+) -> Lambda^(0) + K^(+). Our model of confinement plays an important role in our analysis and makes it possible to use Feynman diagrams to describe the decay of the pentaquark.
17 pages, 12 figures
17 pages, 12 figures