Fine Structure of the Ground States ofN15andO17

Abstract

An attempt has been made to fit the experimental values of the ground-state splittings for N 15 and O 17 by using the same nucleon-nucleon spin-orbit force for both cases. It is found that the spin-orbit force constants for the N 15 case must be made about twice as large as those for the O 17 case. The magnitudes of the spin-orbit force parameters required to account satisfactorily for the N 15 and O 17 ground-state splittings have been found to be from 5 to 10 times larger than those necessary to obtain agreement between the calculated and the experimental values of the ground state splitting in Li 7 .The exchange-integral contributions to the splittings have been found to be from J to J of the direct integral contributions; therefore, the concept of a one-body spin-orbit force is not accurately applicable in the cases of the N 15 and O 17 ground state splittings.Gaussian error potentials and wave functions have been used. The wave-function range parameters have been adjusted by means of experimental Coulomb energies and examined by means of binding energies. Effects of excited configurations have not been included and no claim of an exhaustive consideration of all possible adjustments of wave function and potential parameters is made.