Octupole resonance states in the nucleus oxygen 16
Three quanta excitations from a spherical core of oxygen 16 were studied. In particular the octupole vibrations, being a 14 dimensional manifold of vectors, transforming as the representation of the special unitary group SU3 with parameters (λμ) = (30) and permutation symmetry of the configuration's radial coordinates [f1f2 …] = [4444], were treated in detail.3− excited states of the nucleus oxygen 16 may be formed from a single excitation of a nucleon from the p shell to the sd shell, or from the triple excitations. The three quanta excitations may be states in which one, two, or three nucleons are excited from its spherical core. The resonance energy levels are calculated using the Sussex matrix elements, and the octupole strength to each of the seven physical (30) states are tabulated, together with their excitation energy for each of eight internucleon interactions. Most of the E3 strength was found to be lodged in the lowest two states at about 17 to 25 MeV, although an appreciable amount is shown to come from the highest state at about 50 MeV.