Abstract
The () and (, ) reactions have been used to locate three previously unknown isobaric analog states in , , and , in addition to significantly improving the precision on the energies of the state in and the states in and . These multiplets all lie within the "() shell" in that they have fewer than nucleons outside , and . Including these data, twenty-eight displacement energies are now known throughout this shell for all possible multiplets with (except , mass-22). The experimental displacement energies were compared in detail with calculations which used Hecht's Coulomb-energy equations; the excellent agreement obtained appeared to be relatively insensitive to the assumed nuclear wave functions since both the low-seniority coupling limit and the Wigner supermultiplet scheme produced similar results. Four parameters related to the two-body Coulomb-energy matrix elements were treated as adjustable in fitting the data but their final values are in reasonable agreement with matrix elements calculated using harmonic-oscillator wave functions. A fifth adjustable parameter took account of the and dependence of the charge radius. Using the experimental parameters, the unmeasured masses of , , , , , , and are predicted, together with the excitation energies of unobserved analog states in the shell.
- Received 31 January 1969
DOI:https://doi.org/10.1103/PhysRev.183.854
©1969 American Physical Society