Three-nucleon force contribution to the deuteron channel in \((d,p)\) reactions

The contribution of a three-nucleon (3N) force, acting between the neutron and proton in the incoming deuteron with a target nucleon, to the deuteron-target potential in the entrance channel of the \(A(d,p)B\) reaction has been calculated within the adiabatic distorted wave approximation (ADWA). Four different 3N interaction sets from local chiral effective field theory (\(\chi\)EFT) at next-to-next-to-leading order (N2LO) were used. Strong sensitivity of the adiabatic deuteron-target potential to the choice of the 3N force format has been found, which originates from the enhanced sensitivity to the short-range physics of nucleon-nucleon (NN) and 3N interactions in the ADWA. Such a sensitivity is reduced when a Watanabe folding model is used to generate \(d\)-\(A\) potential instead of ADWA. The impact of the 3N force contribution on \((d,p)\) cross sections depends on assumptions made about the \(p\)-\(A\) and \(n\)-\(A\) optical potentials used to calculate the distorted \(d\)-\(A\) potential in the entrance channel. It is different for local and nonlocal optical potentials and depends on whether the induced three-body force arising due to neglect of target excitations is included or not.