Ultraviolet suppression and nonlocality in optical model potentials for nucleon-nucleus scattering

We investigate the role of high momentum components of optical model potentials for nucleon-nucleus scattering and its incidence on their nonlocal structure in coordinate space. The study covers closed-shell nuclei with mass number in the range 4 ≤ A ≤ 208 , for nucleon energies from tens of MeV up...

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Published inThe European physical journal. A, Hadrons and nuclei Vol. 57; no. 1
Main Authors Arellano, H. F., Blanchon, G.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2021
Springer Nature B.V
EDP Sciences ; Springer [1998-....]
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Online AccessGet full text
ISSN1434-6001
1434-601X
DOI10.1140/epja/s10050-020-00328-0

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Abstract We investigate the role of high momentum components of optical model potentials for nucleon-nucleus scattering and its incidence on their nonlocal structure in coordinate space. The study covers closed-shell nuclei with mass number in the range 4 ≤ A ≤ 208 , for nucleon energies from tens of MeV up to 1 GeV. To this purpose microscopic optical potentials were calculated using density-dependent off-shell g matrices in Brueckner-Hartree-Fock approximation and based on Argonne v 18 as well as chiral 2 N force up to next-to-next-to-next-to-leading order. We confirm that the gradual suppression of high-momentum contributions of the optical potential results in quite different coordinate-space counterparts, all of them accounting for the same scattering observables. We infer a minimum cutoff momentum Q , a function of the target mass number and energy of the process, that filters out irrelevant ultraviolet components of the potential. We find that when ultraviolet suppression is applied to Perey-Buck nonlocal potential or local Woods-Saxon potentials, they result with similar nonlocal structure to those obtained from microscopic models in momentum space. We examine the transversal nonlocality, quantity that makes comparable the intrinsic nonlocality of any potential regardless of its representation. We conclude that meaningful comparisons of nonlocal features of alternative potential models require the suppression of their ultraviolet components.
AbstractList We investigate the role of high momentum components of optical model potentials for nucleon-nucleus scattering and its incidence on their nonlocal structure in coordinate space. The study covers closed-shell nuclei with mass number in the range 4≤A≤208, for nucleon energies from tens of MeV up to 1 GeV. To this purpose microscopic optical potentials were calculated using density-dependent off-shell g matrices in Brueckner-Hartree-Fock approximation and based on Argonne v18 as well as chiral 2N force up to next-to-next-to-next-to-leading order. We confirm that the gradual suppression of high-momentum contributions of the optical potential results in quite different coordinate-space counterparts, all of them accounting for the same scattering observables. We infer a minimum cutoff momentum Q, a function of the target mass number and energy of the process, that filters out irrelevant ultraviolet components of the potential. We find that when ultraviolet suppression is applied to Perey-Buck nonlocal potential or local Woods-Saxon potentials, they result with similar nonlocal structure to those obtained from microscopic models in momentum space. We examine the transversal nonlocality, quantity that makes comparable the intrinsic nonlocality of any potential regardless of its representation. We conclude that meaningful comparisons of nonlocal features of alternative potential models require the suppression of their ultraviolet components.
We investigate the role of high momentum components of optical model potentials for nucleon-nucleus scattering and its incidence on their nonlocal structure in coordinate space. The study covers closed-shell nuclei with mass number in the range $4 \le A \le 208$, for nucleon energies from tens of MeV up to 1 GeV. To this purpose microscopic optical potentials were calculated using density-dependent off-shell g matrices in Brueckner-Hartree-Fock approximation and based on Argonne $v_{18}$ as well as chiral 2N force up to next-to-next-to-next-to-leading order. We confirm that the gradual suppression of high-momentum contributions of the optical potential results in quite different coordinate-space counterparts, all of them accounting for the same scattering observables. We infer a minimum cutoff momentum Q, a function of the target mass number and energy of the process, that filters out irrelevant ultraviolet components of the potential. We find that when ultraviolet suppression is applied to Perey-Buck nonlocal potential or local Woods-Saxon potentials, they result with similar nonlocal structure to those obtained from microscopic models in momentum space. We examine the transversal nonlocality, quantity that makes comparable the intrinsic nonlocality of any potential regardless of its representation. We conclude that meaningful comparisons of nonlocal features of alternative potential models require the suppression of their ultraviolet components.
We investigate the role of high momentum components of optical model potentials for nucleon-nucleus scattering and its incidence on their nonlocal structure in coordinate space. The study covers closed-shell nuclei with mass number in the range 4 ≤ A ≤ 208 , for nucleon energies from tens of MeV up to 1 GeV. To this purpose microscopic optical potentials were calculated using density-dependent off-shell g matrices in Brueckner-Hartree-Fock approximation and based on Argonne v 18 as well as chiral 2 N force up to next-to-next-to-next-to-leading order. We confirm that the gradual suppression of high-momentum contributions of the optical potential results in quite different coordinate-space counterparts, all of them accounting for the same scattering observables. We infer a minimum cutoff momentum Q , a function of the target mass number and energy of the process, that filters out irrelevant ultraviolet components of the potential. We find that when ultraviolet suppression is applied to Perey-Buck nonlocal potential or local Woods-Saxon potentials, they result with similar nonlocal structure to those obtained from microscopic models in momentum space. We examine the transversal nonlocality, quantity that makes comparable the intrinsic nonlocality of any potential regardless of its representation. We conclude that meaningful comparisons of nonlocal features of alternative potential models require the suppression of their ultraviolet components.
ArticleNumber 27
Author Blanchon, G.
Arellano, H. F.
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Snippet We investigate the role of high momentum components of optical model potentials for nucleon-nucleus scattering and its incidence on their nonlocal structure in...
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SubjectTerms Atomic properties
Hadrons
Hartree approximation
Heavy Ions
Mathematical analysis
Momentum
Nuclear Fusion
Nuclear Physics
Nuclear Reaction Studies: a Tribute to Jacques Raynal
Nuclear Theory
Nucleons
Particle and Nuclear Physics
Physics
Physics and Astronomy
Regular Article – Theoretical Physics
Scattering
Ultraviolet
Title Ultraviolet suppression and nonlocality in optical model potentials for nucleon-nucleus scattering
URI https://link.springer.com/article/10.1140/epja/s10050-020-00328-0
https://www.proquest.com/docview/2478070988
https://hal.science/hal-03070681
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