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Three-body problem with velocity-dependent optical potentials: a case of (d, p) reactions

Timofeyuk, N K (2019) Three-body problem with velocity-dependent optical potentials: a case of (d, p) reactions Journal of Physics G: Nuclear and Particle Physics, 46 (6).

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The change in mass of a nucleon, arising from its interactions with other nucleons inside the target, results in velocity-dependent terms in the Schrödinger equation that describes nucleon scattering. It has recently been suggested in a number of publications that introducing and fitting velocity-dependent terms improves the quality of the description of nucleon scattering data for various nuclei. The present paper discusses velocity-dependent optical potentials in the context of a three-body problem used to account for deuteron breakup in the entrance channel of (d, p) reactions. Such potentials form a particular class of nonlocal optical potentials which are a popular object of modern studies. It is shown here that because of a particular structure of the velocity-dependent terms the three-body problem can be formulated in two different ways. Solving this problem within an adiabatic approximation results in a significant difference between the two approaches caused by contributions from the high n–p momenta in deuterons in one of them. Solving the three-body problem beyond the adiabatic approximation may remove such contributions, which is indirectly confirmed by replacing the adiabatic approximation by the folding Watanabe model where such contributions are suppressed. Discussion of numerical results is carried out for the 40Ca(d, p)41Ca reaction where experimental data both on elastic scattering in entrance and exit channels and on nucleon transfer are available.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Physics
Authors :
Timofeyuk, N
Date : 25 April 2019
Funders : Science and Technology Facilities Council (STFC)
DOI : 10.1088/1361-6471/ab0992
Copyright Disclaimer : © 2019 IOP Publishing Ltd. As the Version of Record of this article is going to be/has been published on a subscription basis, this Accepted Manuscript will be available for reuse under a CC BY-NC-ND 3.0 licence after a 12 month embargo period. Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permission may be required. All third party content is fully copyright protected, unless specifically stated otherwise in the figure caption of the Version of Record.
Depositing User : Clive Harris
Date Deposited : 30 Jul 2019 07:24
Last Modified : 13 Aug 2020 11:50

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