Validity of local density prescriptions for microscopic calculations of proton nucleus elastic scattering

Crespo, R; Johnson, R C; Tostevin, J A

doi:10.1103/PhysRevC.50.2995

Title: Validity of local density prescriptions for microscopic calculations of proton nucleus elastic scattering

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Abstract

The validity of the local density approximation as applied to the construction of the nucleon-nucleus optical potential is studied. A Wentzel-Kramers-Brillouin (WKB) local equivalent potential to the second-order term of the Kerman, McManus, and Thaler (KMT) multiple scattering expansion of the nucleon nucleus optical potential is derived. Assuming that the nucleon-nucleon transition amplitude is on the energy shell, we compare the microscopic KMT optical potential with the approximate potential deduced from the nuclear matter limit by use of the local density approximation. Calculations are presented for the nucleon-[sup 16]O system at 135 and 200 MeV incident energies. It is shown that the use of the local density prescription leads to surface peaking of the optical potential. This effect is absent from the second-order term of the optical potential derived microscopically from the KMT approach.

Authors:

Crespo, R; Johnson, R C; Tostevin, J A ^[1]

Department of Physics, University of Surrey, Guildford, Surrey, GU25XH (United Kingdom)

Publication Date:: Thu Dec 01 00:00:00 EST 1994

OSTI Identifier:: 6881550

Resource Type:: Journal Article

Journal Name:: Physical Review, C (Nuclear Physics); (United States)

Additional Journal Information:: Journal Volume: 50:6; Journal ID: ISSN 0556-2813

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; OXYGEN 16 TARGET; PROTON REACTIONS; OPTICAL MODELS; DIRECT REACTIONS; ELASTIC SCATTERING; MEV RANGE 100-1000; POTENTIALS; THEORETICAL DATA; WKB APPROXIMATION; BARYON REACTIONS; CHARGED-PARTICLE REACTIONS; DATA; ENERGY RANGE; HADRON REACTIONS; INFORMATION; MEV RANGE; NUCLEAR REACTIONS; NUCLEON REACTIONS; NUMERICAL DATA; SCATTERING; TARGETS; 663300* - Nuclear Reactions & Scattering, General- (1992-); 663430 - Nucleon-Induced Reactions & Scattering- (1992-); 663530 - Nuclear Mass Ranges- A=20-38- (1992-)

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                    Crespo, R, Johnson, R C, and Tostevin, J A. Validity of local density prescriptions for microscopic calculations of proton nucleus elastic scattering.  United States: N. p., 1994. 
        Web.  doi:10.1103/PhysRevC.50.2995.

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                    Crespo, R, Johnson, R C, & Tostevin, J A. Validity of local density prescriptions for microscopic calculations of proton nucleus elastic scattering.  United States.  https://doi.org/10.1103/PhysRevC.50.2995

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                    Crespo, R, Johnson, R C, and Tostevin, J A. 1994.  
        "Validity of local density prescriptions for microscopic calculations of proton nucleus elastic scattering".  United States.  https://doi.org/10.1103/PhysRevC.50.2995.

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@article{osti_6881550,

  title        = {Validity of local density prescriptions for microscopic calculations of proton nucleus elastic scattering},

  author       = {Crespo, R and Johnson, R C and Tostevin, J A},

  abstractNote = {The validity of the local density approximation as applied to the construction of the nucleon-nucleus optical potential is studied. A Wentzel-Kramers-Brillouin (WKB) local equivalent potential to the second-order term of the Kerman, McManus, and Thaler (KMT) multiple scattering expansion of the nucleon nucleus optical potential is derived. Assuming that the nucleon-nucleon transition amplitude is on the energy shell, we compare the microscopic KMT optical potential with the approximate potential deduced from the nuclear matter limit by use of the local density approximation. Calculations are presented for the nucleon-[sup 16]O system at 135 and 200 MeV incident energies. It is shown that the use of the local density prescription leads to surface peaking of the optical potential. This effect is absent from the second-order term of the optical potential derived microscopically from the KMT approach.},

  doi          = {10.1103/PhysRevC.50.2995},

  url          = {https://www.osti.gov/biblio/6881550},
  journal      = {Physical Review, C (Nuclear Physics); (United States)},

  issn         = {0556-2813},

  number       = ,

  volume       = 50:6,

  place        = {United States},

  year         = {Thu Dec 01 00:00:00 EST 1994},

  month        = {Thu Dec 01 00:00:00 EST 1994}

}

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