Threebody problem with velocitydependent optical potentials: a case of (d, p) reactions
Abstract
The change in mass of a nucleon, arising from its interactions with other nucleons inside the target, results in velocitydependent terms in the Schrödinger equation that describes nucleon scattering. It has recently been suggested in a number of publications that introducing and fitting velocitydependent terms improves the quality of the description of nucleon scattering data for various nuclei. The present paper discusses velocitydependent optical potentials in the context of a threebody problem used to account for deuteron breakup in the entrance channel of (d, p) reactions. Such potentials form a particular class of nonlocal optical potentials which are a popular object of modern studies. It is shown here that because of a particular structure of the velocitydependent terms the threebody problem can be formulated in two different ways. Solving this problem within an adiabatic approximation results in a significant difference between the two approaches caused by contributions from the high np momenta in deuterons in one of them. Solving the threebody problem beyond the adiabatic approximation may remove such contributions, which is indirectly confirmed by replacing the adiabatic approximation by the folding Watanabe model where such contributions are suppressed. Discussion of numerical results is carried out for the {}(40}mathrm{Ca}{≤ft(d,pright)}({41}mathrm{Ca)) 40 Ca d , p 41 Ca reaction where experimental data both on elastic scattering in entrance and exit channels and on nucleon transfer are available.
 Publication:

Journal of Physics G Nuclear Physics
 Pub Date:
 June 2019
 DOI:
 10.1088/13616471/ab0992
 arXiv:
 arXiv:1903.04216
 Bibcode:
 2019JPhG...46f5103T
 Keywords:

 transfer reactions;
 optical potentials;
 threebody problem;
 Nuclear Theory;
 Nuclear Experiment
 EPrint:
 Accepted for publications in Journal of Physics G