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 Johnson (2014 J. Phys. G: Nucl. Part. Phys. 41 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.
Highlights
Nuclear transfer reactions, and deuteron stripping – (d,p) – in particular, receive continuous interest by the nuclear community, since they provide an excellent framework to study spectroscopy of the nuclei involved in the reaction [1, 2, 3]
The entrance-channel deuteron-target wave function is often described by the three-body Watanabe Hamiltonian [5] and an approximate solution of the three-body problem is used within the adiabatic distorted wave approximation (ADWA) [6, 7]
The latter is based on the assumption that the deuteron breakup involves transitions to low energy scattering states described by wave functions strongly resembling the ground state within the small n-p separations that give the main contribution to the (d,p) amplitude
Summary
Deuteron stripping – (d,p) – in particular, receive continuous interest by the nuclear community, since they provide an excellent framework to study spectroscopy of the nuclei involved in the reaction [1, 2, 3]. The entrance-channel deuteron-target wave function is often described by the three-body Watanabe Hamiltonian [5] and an approximate solution of the three-body problem is used within the adiabatic distorted wave approximation (ADWA) [6, 7] The latter is based on the assumption that the deuteron breakup involves transitions to low energy scattering states described by wave functions strongly resembling the ground state within the small n-p separations that give the main contribution to the (d,p) amplitude. There are some cases where the ADWA and CDCC results differ significantly, as shown for instance in [12, 13] and more recently in a systematic study by Chazono, et al, [14] For this reason it would be desirable to have a simple and accurate way of correcting the three-body wave function at small n-p separations. First-order perturbation theory could be used to go beyond adiabatic approximation in treating explicit energy-dependence of optical potentials and induced three-body force as proposed in [15] and [16], respectively
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