An Analysis of Some Neutron Transfer Reactions Using Microscopic Form Factors

Abstract

Form factors of one-neutron transfer reactions were calculated by the method developed by the authors for the transition between the two-neutron (or -neutron-hole) state of ¹⁸O, ⁵⁸Ni, ²¹⁰Pb, ¹⁴N and ²⁰⁶Pb and the single-neutron (or -neutron-hole) states of the neighbouring nuclei using the known shell-model wave functions and corresponding two-body interactions. For strong transitions the calculated form factor F is close to that given by the separation energy method F_SE, while for weak transitions they are considerably different. The shape of F is intermediate between F_SE and F_EFB given by the effective binding energy method. Strong correlation was found between the relative importance of the two-body interaction in F and the energy shift of the two-particle (or -hole) level from the zeroth-order shell-model energy. The angular distribution calculated either by DWBA or by adiabatic theory of Johnson and Soper (AD) was quite insensitive to the shape of the form factor inside the nucleus, although magnitude was sometimes different by a factor of 4 depending on whether F or F_SE was used. For ¹⁸O(p,d)¹⁷O and the weak transitons in ²¹⁰Pb(p,d)²⁰⁹Pb, no satisfactory agreement was obtained by either AD or DWBA. It is suggested that two-step mechanisms may be important in these processes.

Citing Article(s):

1. Progress of Theoretical Physics Vol. 69 No. 6 (1983) pp. 1704-1716

   Effects of the Proton-Neutron Hole Interaction to the Form Factor in (d,t) Reactions on N = 50 Target Nuclei Ryo-ichi Namai