Perturbative correction to the adiabatic approximation for $(d,p)$ reactions

Abstract

The adiabatic distorted wave approximation (ADWA) is widely used by the nuclear community to analyse deuteron stripping ($d$,$p$) experiments. It provides a quick way to take into account an important property of the reaction mechanism: deuteron breakup. In this work we provide a numerical quantification of a perturbative correction to this theory, recently proposed in [R.C. Johnson, J. Phys. G: Nucl. Part. Phys. 41 (2014) 094005] for separable rank-one nucleon-proton potentials. The correction involves an additional, nonlocal, term in the effective deuteron-target ADWA potential in the entrance channel. We test the calculations with perturbative corrections against continuum-discretized coupled channel predictions which treat deuteron breakup exactly.

References in corpus (13)

• Testing the continuum discretized coupled channel method for deuteron induced reactions
• An R-matrix package for coupled-channel problems in nuclear physics
• Adiabatic versus Faddeev for (d,p) and (p,d) reactions
• Family of Hermitian Low-Momentum Nucleon Interactions with Phase Shift Equivalence
• Decoupling in the Similarity Renormalization Group for Nucleon-Nucleon Forces
• A simple and efficient numerical scheme to integrate non-local potentials
• Adiabatic model of $(d,p)$ reactions with explicitly energy-dependent non-local potentials
• Rapid convergence of the Weinberg expansion of the deuteron stripping amplitude
• Sensitivity of (d,p) reactions to high n-p momenta and the consequences for nuclear spectroscopy studies
• Reduced sensitivity of the $(d,p)$ cross sections to the deuteron model beyond adiabatic approximation
• Examination of the adiabatic approximation for $(d,p)$ reactions
• Effects of an induced three-body force in the incident channel of (d,p) reactions
• Weak sensitivity of three-body ($d,p$) reactions to $np$ force models

Cited by in corpus (1)

• Molecular 9Be+p Fusion Reaction