Nonlocal triton and helion folding potentials

Abstract Triton and helion nonlocal optical potentials are constructed from available global systematics of nonlocal nucleon optical potentials using a single-folding procedure. With nucleon optical potentials of the Perey-Buck type, used here, and simple gaussian triton/helion wave functions, the triton and helion nonlocal folding potentials are also of the Perey-Buck type with a nonlocality range being a third of that for a nucleon. The scattering problem with such potentials is solved exactly and the cross sections obtained are compared to those obtained in its local-equivalent model at the leading and next-to-leading orders. It was found that leading-order angular distributions are almost indistinguishable from those given by the exact solution. Constructing local triton/helion folding potentials from local equivalents of nonlocal nucleon potentials gives a different result, making this procedure unsuitable. A comparison with experimental data has been carried out for triton and helion scattering from $$^{40}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>40</mml:mn> </mml:mmultiscripts> </mml:math> Ca, $$^{89}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>89</mml:mn> </mml:mmultiscripts> </mml:math> Y and $$^{90}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>90</mml:mn> </mml:mmultiscripts> </mml:math> Zr targets at laboratory energies between 20 and 130 MeV. With no renormalization of the folding potential the forward angle scattering is reproduced reasonably well and thus is deemed suitable for rearrangement reactions studies at forward angles. At larger angles the predictions overestimate the scattering data and underestimate absorption cross sections. Recommendation to further improvement of the model to address the lack of absorption in that area is given.

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Publication Details

Journal
The European Physical Journal A
Published
2025-12-17
DOI
https://doi.org/10.1140/epja/s10050-025-01762-8
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
article
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article

Nonlocal triton and helion folding potentials

N. K. Timofeyuk
The European Physical Journal A
Quantum Mechanics and Non-Hermitian Physics
article

Nonlocal triton and helion folding potentials

N. K. Timofeyuk
article en

Abstract

Abstract Triton and helion nonlocal optical potentials are constructed from available global systematics of nonlocal nucleon optical potentials using a single-folding procedure. With nucleon optical potentials of the Perey-Buck type, used here, and simple gaussian triton/helion wave functions, the triton and helion nonlocal folding potentials are also of the Perey-Buck type with a nonlocality range being a third of that for a nucleon. The scattering problem with such potentials is solved exactly and the cross sections obtained are compared to those obtained in its local-equivalent model at the leading and next-to-leading orders. It was found that leading-order angular distributions are almost indistinguishable from those given by the exact solution. Constructing local triton/helion folding potentials from local equivalents of nonlocal nucleon potentials gives a different result, making this procedure unsuitable. A comparison with experimental data has been carried out for triton and helion scattering from $$^{40}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>40</mml:mn> </mml:mmultiscripts> </mml:math> Ca, $$^{89}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>89</mml:mn> </mml:mmultiscripts> </mml:math> Y and $$^{90}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mmultiscripts> <mml:mrow/> <mml:mrow/> <mml:mn>90</mml:mn> </mml:mmultiscripts> </mml:math> Zr targets at laboratory energies between 20 and 130 MeV. With no renormalization of the folding potential the forward angle scattering is reproduced reasonably well and thus is deemed suitable for rearrangement reactions studies at forward angles. At larger angles the predictions overestimate the scattering data and underestimate absorption cross sections. Recommendation to further improvement of the model to address the lack of absorption in that area is given.

The European Physical Journal AVol. 61(12)
University of Surrey (GB)
Openalex Percentile: Top 67%
Quantum Mechanics and Non-Hermitian Physics
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