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

Autor: Dinmore, M. J., Timofeyuk, N. K., Al-Khalili, J. S., Johnson, R. C.
Rok vydání: 2019
Předmět:
Zdroj: Phys. Rev. C 99, 064612 (2019)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevC.99.064612
Popis: A widely accepted practice for treating deuteron breakup in $A(d,p)B$ reactions relies on solving a three-body $A+n+p$ Schr\"odinger equation with pairwise $A$-$n$, $A$-$p$ and $n$-$p$ interactions. However, it was shown in [Phys. Rev. C \textbf{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 $^{40}$Ca($d,p$)$^{41}$Ca transfer reactions at incident deuteron energies of 11.8, 20 and 56 MeV, using several parameterisations of nonlocal optical potentials.
Comment: 7 pages, 2 figures. Publication due in Phys. Rev. C
Databáze: arXiv