Group Theoretic Classification of Pentaquarks and Numerical Predictions of Their Masses

Abstract: In this report we investigate the exotic hadrons known as pentaquarks. A brief overview of relevant concepts and theory is initially presented in order to aid the reader. Thereafter, the history of this field with regards to theory and experiments is discussed. In particular, a group theoretic classification of these states is studied. A simple mass formula for pentaquark states is examined and predictions are subsequently made about the composition and mass of possible pentaquark states. Furthermore, this mass formula is modified to examine and predict additional pentaquark states. A number of numerical fits concerning the masses of pentaquarks are performed and studied. Future research is explored with regards to the information presented in this thesis.