MULTIQUARK BARYONS AND THE MIT BAG MODEL

The calculation of masses of q4q̄ and q5q̄2 baryons is carried out within the framework of Jaffe's approximation to the MIT bag model. A general method for calculating the necessary SU(6) SU(3) SU(2) coupling coefficients is outlined and tables of the coefficients necessary for q4q̄ and q5q̄2 calculations are given. An expression giving the decay amplitude of an arbitrary multiquark state to arbitrary two-body final states is given in terms of SU(3) Racah and 9-λμ recoupling coefficients. The decay probabilities for low-lying 12- q4q̄ baryons are given and compared with experiment. All low-lying 12- baryons are found to belong to the same SU(6) representation and all known 12- resonances below 1900 MeV may be accounted for without the necessity of introducing P-wave states. The masses of many exotic states are predicted including a 12- Z0* at 1650 MeV and 12- hypercharge -2 and +3 states at 2.25 and 2.80 GeV, respectively. The agreement with experiment for the 32- and 52- baryons is less good. The lowest q5q̄2 state is predicted to be a 12+ Λ* at 1900 MeV. © 1979 The American Physical Society.