Spectroscopic Factors from Deuteron Stripping Reactions Leading to Ground and First Excited States of Even Spherical Nuclei

Abstract

Deuteron stripping reactions on odd-neutron targets from Cr to Sm leading to the ground and first excited states of the even system are analyzed with distorted-wave Born approximation calculations. Theoretical spectroscopic factors are computed for these reactions using wave functions derived from the pairing-plus-$P^{\mathrm{}\left(2\right)\mathrm{}}$ model. One such factor is calculated and measured for the ground-state transition, while for the first excited state the analysis is in terms of several spectroscopic factors corresponding to several $l$ values for the transferred neutron. For the ground state, the agreement between experiment and theory is excellent. For the excited state the agreement is not so good, but most of the spectroscopic factors are in agreement to about a factor of 2.