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Study of the Dispersive Contribution Effect for Neutrons Scattering by 60Cu Nucleus Using Variational Moment Approach

Received: 18 November 2020     Accepted: 23 December 2020     Published: 31 December 2020
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Abstract

The variational moment approach for the neutrons scattering analysis by 60Cu nucleus within the energy range (60-80) MeV is applied to the construction of the complex single-particle mean field felt by neutrons in 60Cu, starting from negative energy values to the positive energy values. The experimental data of the scattering neutron has been analysis by using one of the methods for optical dispersion model which depending on the afferent between the real and imaginary parts and this led to a derivation decrease in determining the optical parameters from the experimental data. Also on the stripe expending of the real potential parameters from high energy to low energy to the close area of the Coulomb barrier which characterized the lack of information about the experimental data for each, using the program SPI-GINOA in order to determine the value of the volume integral for the real and imaginary parts (surface and volume). The Value of the volume integral for the real part and integrals oh "Hartree – Fock" was pointed and then determined the value of real part of the potential Hartree – fock potential. In addition we also has been determined the imaginary potential (two parts the surface and the volume) and studied on function of energy for all the specific pointed ingredients. The potential dispersion was determined (surface – volume) and studied their functional energy. Therefore, we determined the radius neutron optical model and also we found its energy way match close to what reveal the correctness of method of dispersive optical model at one hand, and the accuracy in the determination of optical model parameters at other hand.

Published in Nuclear Science (Volume 5, Issue 4)
DOI 10.11648/j.ns.20200504.11
Page(s) 44-49
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2020. Published by Science Publishing Group

Keywords

Variational Moment Approach (VMA), Dispersion Relations (DR), Total Cross Section, Neutrons Scattering, Optical Neutron Potential, Mean Field, Fermi Energy

References
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[2] Koning, A. J., & Delaroche, J. P. (2003). Nucl. Phys. A713, 231.
[3] Mahaux, C., & Sartor, R. (1991). Dispersion Relation Approach to the Mean Field and Spectral Functions of Nucleons in 40Ca, Nuclear Physics, A528, pp. 253-297, Elsevier Science Publishers B. V. (North-Holland).
[4] IAEA, (2006). Handbook for Calculations of Nuclear Reaction Data, RIPL-2, IAEA in Austria, (Final report of a coordinated research project, IAEA-TECDOC-1506), pp. 47-69.
[5] Melkanoff, M. A, Saxon, D. S, Jnodvik, J. S., & Cantor, D. G. (1961). A Fortran Program for Elastic Scattering Analyses with the Nuclear Optical Model, University of California Press Berkeley and Los Angeles, Retrieved August 24, 2009 [EBook #29784], online at www.gutenberg.org, p. 111.
[6] Al-Mustafa, H., & Belal. A. (2019). Program Design for Analyzing the Optical Model of the (Coulomb - Nuclear) Interference Potential, Journal of AL Baath University, Homs- Syria, 41 (18), 71-102.
[7] Al-Mustafa, H., & Belal. A. (2019). A Dispersive Optical Model Analysis of the Protons Scattering by Titanium Element Nucleus and Its Natural Isotopes, Nuclear Science, Science PG, 4 (4): 44-51, DOI:10.11648/j.ns.20190404.12.
[8] Al-Mustafa, H., & Belal. A. (2020). A Dispersive Optical Model Analysis of the Neutrons Scattering by Titanium Element Nucleus and Its Natural Isotopes, Nuclear Science, Science PG, 5 (1): 1-7, DOI:10.11648/j.ns.20200501.11.
[9] ROMANOVSKY, E. A., & BELAL, A., & MORZENA, L. R, (1993), News. RAS, Phys, Vol. 57, No. 10, P. 179.
[10] ROMANOVSKY, E. A., & BOTROS, S., & SBASKIA, T., E, (1995), News. RAS, Phys, Vol. 57, No. 10, P. 179.
[11] MADLAND, D. G. (1997). “Progress in the Development of Global Medium-Energy Nucleon-Nucleus Optical-Model Potential”, Proc. OECD/NEA Specialists Meeting on Nucleon-Nucleus Optical Model to 200 MeV, Bruy`eres-le-Chˆatel, France, 129.
[12] Perey. F, (1975)- (“SPI-GENOA: An Optical Model Code”), unpublished.
[13] Wapstra, A. H, & Gove, N. B. (1971). “Nuclear-reaction and separation energies”, Oak Ridge National Laboratory, Oak Ridge, Tenn. 37830.
[14] Audi, G., & Wapstra, A. H. (1995). The Isotopic Mass Data. Nucl. Phys A. 595, 409-480.
[15] Young, P, G., (1994), Los Alamos National Laboratory “EXPERIENCE AT LOS ALAMOS WITH USE OF THE OPTICAL MODEL FOR APPLIED NUCLEAR DATA CALCULATIONS”, (Report LA-UR-94-3104).
[16] Jeukenne, J. P, & Mahaux, C (1986), "Dependence upon mass number and neutron excess of the real part of the proton optical potential for mass numbers (44≤A≤72)". Phys.Rev.V.C34M P. P. 468-479.
[17] Taylor, A. E, & Wood, E. (1941), “Neutron total cross section between 30 and 153 MeV” The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Series 7.
[18] TENDL-2019 Nuclear Data Library- Neutron sub-Library for Cu (Z=29) and (A=60) Tabular production and total cross sections, Elastic angular distribution.
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  • APA Style

    Molhum Ussef, Anees Belal. (2020). Study of the Dispersive Contribution Effect for Neutrons Scattering by 60Cu Nucleus Using Variational Moment Approach. Nuclear Science, 5(4), 44-49. https://doi.org/10.11648/j.ns.20200504.11

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    ACS Style

    Molhum Ussef; Anees Belal. Study of the Dispersive Contribution Effect for Neutrons Scattering by 60Cu Nucleus Using Variational Moment Approach. Nucl. Sci. 2020, 5(4), 44-49. doi: 10.11648/j.ns.20200504.11

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    AMA Style

    Molhum Ussef, Anees Belal. Study of the Dispersive Contribution Effect for Neutrons Scattering by 60Cu Nucleus Using Variational Moment Approach. Nucl Sci. 2020;5(4):44-49. doi: 10.11648/j.ns.20200504.11

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  • @article{10.11648/j.ns.20200504.11,
      author = {Molhum Ussef and Anees Belal},
      title = {Study of the Dispersive Contribution Effect for Neutrons Scattering by 60Cu Nucleus Using Variational Moment Approach},
      journal = {Nuclear Science},
      volume = {5},
      number = {4},
      pages = {44-49},
      doi = {10.11648/j.ns.20200504.11},
      url = {https://doi.org/10.11648/j.ns.20200504.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ns.20200504.11},
      abstract = {The variational moment approach for the neutrons scattering analysis by 60Cu nucleus within the energy range (60-80) MeV is applied to the construction of the complex single-particle mean field felt by neutrons in 60Cu, starting from negative energy values to the positive energy values. The experimental data of the scattering neutron has been analysis by using one of the methods for optical dispersion model which depending on the afferent between the real and imaginary parts and this led to a derivation decrease in determining the optical parameters from the experimental data. Also on the stripe expending of the real potential parameters from high energy to low energy to the close area of the Coulomb barrier which characterized the lack of information about the experimental data for each, using the program SPI-GINOA in order to determine the value of the volume integral for the real and imaginary parts (surface and volume). The Value of the volume integral for the real part and integrals oh "Hartree – Fock" was pointed and then determined the value of real part of the potential Hartree – fock potential. In addition we also has been determined the imaginary potential (two parts the surface and the volume) and studied on function of energy for all the specific pointed ingredients. The potential dispersion was determined (surface – volume) and studied their functional energy. Therefore, we determined the radius neutron optical model and also we found its energy way match close to what reveal the correctness of method of dispersive optical model at one hand, and the accuracy in the determination of optical model parameters at other hand.},
     year = {2020}
    }
    

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  • TY  - JOUR
    T1  - Study of the Dispersive Contribution Effect for Neutrons Scattering by 60Cu Nucleus Using Variational Moment Approach
    AU  - Molhum Ussef
    AU  - Anees Belal
    Y1  - 2020/12/31
    PY  - 2020
    N1  - https://doi.org/10.11648/j.ns.20200504.11
    DO  - 10.11648/j.ns.20200504.11
    T2  - Nuclear Science
    JF  - Nuclear Science
    JO  - Nuclear Science
    SP  - 44
    EP  - 49
    PB  - Science Publishing Group
    SN  - 2640-4346
    UR  - https://doi.org/10.11648/j.ns.20200504.11
    AB  - The variational moment approach for the neutrons scattering analysis by 60Cu nucleus within the energy range (60-80) MeV is applied to the construction of the complex single-particle mean field felt by neutrons in 60Cu, starting from negative energy values to the positive energy values. The experimental data of the scattering neutron has been analysis by using one of the methods for optical dispersion model which depending on the afferent between the real and imaginary parts and this led to a derivation decrease in determining the optical parameters from the experimental data. Also on the stripe expending of the real potential parameters from high energy to low energy to the close area of the Coulomb barrier which characterized the lack of information about the experimental data for each, using the program SPI-GINOA in order to determine the value of the volume integral for the real and imaginary parts (surface and volume). The Value of the volume integral for the real part and integrals oh "Hartree – Fock" was pointed and then determined the value of real part of the potential Hartree – fock potential. In addition we also has been determined the imaginary potential (two parts the surface and the volume) and studied on function of energy for all the specific pointed ingredients. The potential dispersion was determined (surface – volume) and studied their functional energy. Therefore, we determined the radius neutron optical model and also we found its energy way match close to what reveal the correctness of method of dispersive optical model at one hand, and the accuracy in the determination of optical model parameters at other hand.
    VL  - 5
    IS  - 4
    ER  - 

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Author Information
  • Department of Physics, Faculty of Science, Al-Baath University, Homs, Syria

  • Department of Physics, Faculty of Science, Al-Baath University, Homs, Syria

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