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 in | The European physical journal. A, Hadrons and nuclei Vol. 57; no. 1 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.01.2021
Springer Nature B.V EDP Sciences ; Springer [1998-....] |
Subjects | |
Online Access | Get full text |
ISSN | 1434-6001 1434-601X |
DOI | 10.1140/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. |
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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. |
Author_xml | – sequence: 1 givenname: H. F. orcidid: 0000-0003-2599-3275 surname: Arellano fullname: Arellano, H. F. email: arellano@dfi.uchile.cl organization: Department of Physics - FCFM, University of Chile – sequence: 2 givenname: G. surname: Blanchon fullname: Blanchon, G. organization: CEA, DAM, DIF, Université Paris-Saclay, CEA, Laboratoire Matière en Conditions Extrêmes |
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Cites_doi | 10.1016/0375-9474(77)90323-2 10.1016/j.ppnp.2010.03.001 10.1103/PhysRevC.95.024315 10.1103/PhysRevC.71.064606 10.1103/PhysRevC.3.1560 10.1103/PhysRevC.57.1378 10.1103/PhysRevC.94.034004 10.1103/PhysRevC.102.034601 10.1016/j.cpc.2020.107340 10.1016/j.physletb.2018.12.004 10.1103/PhysRevC.41.814 10.1103/PhysRevC.30.1861 10.1103/PhysRevC.41.2188 10.1103/PhysRevC.99.024308 10.1140/epja/i2016-16299-2 10.1103/PhysRevC.68.041001 10.1016/0370-1573(76)90017-X 10.1103/PhysRevC.97.064615 10.1103/PhysRevLett.3.96 10.1016/j.cpc.2020.107543 10.1016/0370-1573(92)90156-T 10.1103/PhysRevC.78.014608 10.1103/PhysRevC.52.301 10.1006/adnd.1996.0010 10.1103/PhysRev.99.857 10.1142/S0218301315500068 10.1103/PhysRevLett.63.605 10.1103/PhysRevC.41.2257 10.1103/PhysRevC.84.034606 10.1103/PhysRevC.51.38 10.1103/PhysRevC.102.044333 10.1103/PhysRevC.66.024602 10.1140/epja/i2015-15007-2 10.1103/PhysRevC.98.054616 10.1016/S0375-9474(02)01321-0 10.1016/0029-5582(62)90345-0 10.1103/PhysRevC.93.034619 |
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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 |
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