Effects of an induced three-body force in the incident channel of (d,p) reactions

M. J. Dinmore, N. K. Timofeyuk, J. S. Al-Khalili, and R. C. Johnson
Phys. Rev. C 99, 064612 – Published 18 June 2019

Abstract

A widely accepted practice for treating deuteron breakup in A(d,p)B reactions relies on solving a three-body A+n+p Schrödinger equation with pairwise An, Ap and np interactions. However, it was shown in Phys. Rev. C 89, 024605 (2014) that projection of the many-body A+2 wave function into the three-body A+n+p channel results in a complicated three-body operator that cannot be reduced to a sum of pairwise potentials. It contains explicit contributions from terms that include interactions between the neutron and proton via excitation of the target A. Such terms are normally neglected. We estimate the first-order contribution of these induced three-body terms and show that applying the adiabatic approximation to solving the A+n+p model results in a simple modification of the two-body nucleon optical potentials. We illustrate the role of these terms for the case of Ca40(d,p)Ca41 transfer reactions at incident deuteron energies of 11.8, 20, and 56 MeV, using several parametrizations of nonlocal optical potentials.

  • Figure
  • Figure
  • Received 27 February 2019

DOI:https://doi.org/10.1103/PhysRevC.99.064612

©2019 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

M. J. Dinmore, N. K. Timofeyuk, J. S. Al-Khalili, and R. C. Johnson

  • Department of Physics, Faculty of Engineering and Physical Sciences, University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom

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Issue

Vol. 99, Iss. 6 — June 2019

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