Faddeev approach to deuteron-induced nuclear reactions*

Deuteron-induced nuclear reactions are an essential tool for probing the structure of stable and rare isotopes as well as extracting quantities of astrophysical interest such as $(n,\gamma)$ cross sections on unstable targets. While Faddeev techniques enable the exact description of the dynamics within a three-body model, their application to deuteron-induced reactions on rare isotopes is complicated by the unavailability of nucleon scattering data needed to constrain the corresponding effective nucleon-target interactions. Moreover, the use of phenomenological potentials with ambiguous off-shell properties introduces further uncertainties. In order to understand and quantify the uncertainties, we apply the Faddeev theory to light deuteron-nucleus systems that are within the reach of state-of-the-art ab initio reaction theories. We present Alt-Grassberger-Sandhas (AGS) momentum space calculations of observables for deuteron-induced reactions on $^4$He using phenomenologically constrained effective 3-body Hamiltonians. In addition, we explore the use of microscopic interactions derived from the no-core shell model (NCSM) coupled with the resonating group method (RGM).