Faddeev-type calculation of (d,n) transfer reactions in three-body nuclear systems

TL;DR

This paper applies Faddeev-type three-body equations to accurately calculate (d,n) transfer reactions in nuclear systems, including Coulomb interactions, and compares results with (d,p) reactions, highlighting successes and limitations.

Contribution

It introduces a Faddeev-type three-body calculation framework for (d,n) reactions that includes Coulomb effects and compares results with (d,p) reactions, providing new insights into reaction modeling.

Findings

Successfully computed differential cross sections for several (d,n) reactions.

Found good agreement with experimental data for reactions on $^{16}$O.

Identified limitations in reproducing angular distributions for reactions on $^{12}$C.

Abstract

Exact Faddeev-type three-body equations are applied to the study of the proton transfer reactions $(d,n)$ in the system consisting of a nuclear core and two nucleons. The integral equations for the three-body transition operators are solved in the momentum-space framework including the Coulomb interaction via the screening and renormalization method. For a weakly bound final nucleus the calculation of the $(d,n)$ reaction is more demanding in terms of the screening radius as compared to the $(d,p)$ reaction. Well converged differential cross section results are obtained for $^{7}{Be}(d,n)^{8}{B}$, $^{12}{C}(d,n)^{13}{N}$, and $^{16}{O}(d,n)^{17}{F}$ reactions. A comparison with the corresponding $(d,p)$ reactions is made. The calculations fail to reproduce the shape of the angular distribution for reactions on $^{12}{C}$ but provide quite successful description for reactions on $^{16}{O}$, especially for the transfer to the $^{17}{F}$ excited state $1/2^+$ when using a nonlocal optical potential.