Abstract
The calculation of masses of and 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 and 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 recoupling coefficients. The decay probabilities for low-lying baryons are given and compared with experiment. All low-lying baryons are found to belong to the same SU(6) representation and all known resonances below 1900 MeV may be accounted for without the necessity of introducing -wave states. The masses of many exotic states are predicted including a at 1650 MeV and hypercharge -2 and +3 states at 2.25 and 2.80 GeV, respectively. The agreement with experiment for the and baryons is less good. The lowest state is predicted to be a at 1900 MeV.
- Received 4 December 1978
DOI:https://doi.org/10.1103/PhysRevD.20.748
©1979 American Physical Society