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

Molhum Ussef; Anees Belal

doi:doi:10.11648/j.ns.20200504.11

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

Molhum Ussef, Anees Belal

Published in Nuclear Science (Volume 5, Issue 4)

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), 2024. 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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[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.
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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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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

Molhum Ussef

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

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

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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}
}

Copy | Download

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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