The calibration of sub-coulomb heavy-ion transfer reactions

The single-neutron transfer reactions 13C( 16O, 17O) 12C, 13C( 18O, 19O) 12C and 18O( 17O, 16O) 19O have been studied at sub-Coulomb energies in order to provide absolute calibrations useful in further heavy-ion transfer experiments. With the neutron bound state wave functions calculated in a Woods-Saxon well with geometry parameters arbitrarily chosen as r = 1.20A c 1 3 fm and a = 0.60 fm, and with the well depth varied to reproduce the neutron binding energy, calibration factors for the ground states of 13C, 17O and 19O have been determined to be 1.03±0.07, 0.78±0.05 and 0.53±0.04 respectively, Assuming single-particle character for the ground states of 13C and 17O, and a (d 5 2) 3 configuration for 19O, the data have been used to determine the rms radii of the neutron excess distributions in these nuclei. The values obtained in 13C, 17O and 19O are 3.19±0.05 fm 3.30±0.05 fm and respectively. These values are compared with those determined from Coulomb energy differences. © 1976.