The branching ratios of Ω- calculated from a gravitational model of baryons

The gravitational model of baryons introduced in previous papers is used to calculate the branching ratios of the strangeness - 3 baryon 0. In this model a strange quark is assumed to be a composite gravitational structure such as [u(u-bar d)] (called a gravitational bracket) consisting of an ordinary u- and d-quark (uniton) bound gravitationally to a pion such as (u-bar d) or (u-bar u). Since any triplet combination such as [d(u-bar u)][d(u-bar u)][d(d-bar d)] of the three distinct strange-quark states is a permissible state of Ω-, all such states are obtained as terms in the trinomial expansion [[d(d-bar d)] + [d(u-bar u)] + [u(u-bar d)]]3. By assigning amplitudes to the various ways a gravitational bracket can decay, a set of algebraic equations is obtained. The solutions of these equations give the observed branching ratios. (author)