CALCULATION OF QUADRUPOLE MOMENTS AND B(E2) VALUES OF 17O AND 17F WITH SUSSEX MATRIX ELEMENTS

The ground state quadrupole moments and 1s 1 2 → 0d 5 2 B(E2) values of 17O and 17F are calculated To obtain A = 17 wave functions the 1p-1h energy matrix for 16O is first diagonalized yielding 2+ vibrations of 16O These are then coupled to the single-particle states of the 1s-0d oscillator shell yielding 2p-1h states Diagonalization is then performed of the A = 17 matrix which includes single-particle and these 2p-1h states. Two alternatives to diagonalizing the A = 17 energy matrix are also considered One involves obtaining the 17O and 17F wave functions by using perturbation theory to couple the 2+ vibrations to the 1s-0d single-particle states and the other, simpler still, consists in coupling non-interacting 1p-1h excitations via perturbation theory to the 1s-0d single-particle states Both these are shown to give smaller results than the diagonalization procedure. The potential matrix derived at Sussex is used as the interaction and single-particle energies are calculated rather than taken from experiment Thus the only free parameter used is the oscillator length b which is taken to be 1 7 fm. In the principal part of the calculation only the 0p holes are excited and these only through two oscillator shells The effect of 0s holes is estimated Comparisons are made with calculations involving the Kuo-Brown G-matrix and the G-matrix derived from the Tabakin interaction. © 1969.