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Journal of the Korean Physical Society

, Volume 74, Issue 11, pp 998–1003 | Cite as

The Charge Density Distribution with a Non-Local Potential on 16O, 40Ca, and 208Pb Nuclei

  • W. Y. So
  • T. H. Kim
  • Myung-Ki Cheoun
  • K. S. KimEmail author
  • Ki-Seok Choi
Article
  • 4 Downloads

Abstract

Using a non-local nuclear potential in a separable form, as suggested by Perey and Buck, we solve the Schrödinger equation for all bound states for 16O, 40Ca, and 208Pb nuclei. We obtain binding energies and radial wave functions for a single particle. Moreover, these calculations derived from a non-local nuclear potential are compared with those of a local potential suggested by Shlomo and Bertsch. With the binding energies and the radial wave functions, we extract the point proton, the point neutron, the charge density distributions and their RMS radii and compare them with the experimental data. The point proton, the point neutron, and the charge density distributions obtained by using the non-local potential are pushed outward compared with those obtained by using the local potential due to the non-local effect. In addition, this effect can be seen in the RMS radii extracted from the point proton, the point neutron, and the charge density distributions, which are repulsive and larger than those obtained using the local potential. Finally, our calculations for the RMS radii, which were done using the non-local potential, agree well with the experimental data.

Keywords

Non-local potential Charge density distribution The proton and the neutron point density distributions 

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Notes

Acknowledgments

This study was supported by 2018 Research Grant from Kangwon National University (No. 620180023) and by the National Research Foundation of Korea (Grant Nos. NRF-2016R1C1B1012874, NRF-2017R1E1A1A010 74023, NRF-2018R1D1A1B07045915, and NRF-2018R1 A5A1025563).

References

  1. [1]
    J. W. Negele, Phys. Rev. C 9, 1054 (1974).CrossRefGoogle Scholar
  2. [2]
    V. K. Mishra, G. Fai, P. C. Tandy and M. R. Frank, Phys. Rev. C 46, 1143 (1992).CrossRefGoogle Scholar
  3. [3]
    W. G. Love, Nucl. Phys. A 312, 160 (1978).CrossRefGoogle Scholar
  4. [4]
    W.-Y. So and B.-T. Kim, J. Korean. Phys. Soc. 30, 175 (1997).Google Scholar
  5. [5]
    F. Perey and B. Buck, Nucl. Phys. 32, 353 (1962).CrossRefGoogle Scholar
  6. [6]
    M. A. Franey and P. J. Ellis, Phys. Rev. C 23, 787 (1981).CrossRefGoogle Scholar
  7. [7]
    S. Shlomo and G. Bertsch, Nucl. Phys. A 243, 507 (1975).CrossRefGoogle Scholar
  8. [8]
    W. Y. So et al., J. Korean. Phys. Soc. 62, 1703 (2013).CrossRefGoogle Scholar
  9. [9]
    H. G. Cho et al., Chin. J. Phys. 52, 729 (2014).Google Scholar
  10. [10]
    H. Feshbach, Ann. Phys. (N.Y.) 5, 357 (1958).CrossRefGoogle Scholar
  11. [11]
    A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971), Chap. 4.Google Scholar
  12. [12]
    B. A. Brown, S. E. Massent and P. E. Hodgson, J. Phys. G 5, 1655 (1979).CrossRefGoogle Scholar
  13. [13]
    W. A. Richter and B. A. Brown, Phys. Rev. C 67, 034317 (2003).CrossRefGoogle Scholar
  14. [14]
    D. Lonardoni, A. Lovato, S. C. Pieper and R. B. Wiringa, Phys. Rev. C 96, 024326 (2017).CrossRefGoogle Scholar
  15. [15]
    A. B. Jones and B. A. Brown, Phys. Rev. C 90, 067304 (2014).CrossRefGoogle Scholar
  16. [16]
    S.-G. Zhou, J. Meng and P. Ring, Phys. Rev. C 68, 034323 (2003).CrossRefGoogle Scholar
  17. [17]
    K. Saito, H. Kouno, K. Tsushima and A. W. Thomasg, Eur. Phys. J. A 26, 159 (2005).CrossRefGoogle Scholar
  18. [18]
    C. A. Bertulani, J. Phys. G 34, 315 (2007).CrossRefGoogle Scholar
  19. [19]
    V. Lapoux et al., Phys. Rev. Lett. 117, 052501 (2016).CrossRefGoogle Scholar
  20. [20]
    H. de Vries, C. W. de Jager and C. de Vries, At. Data. Nucl. Data Tables 36, 495 (1987).CrossRefGoogle Scholar
  21. [21]
    W. R. Gibbs and J.-P. Dedonder, Phys. Rev. C 46, 1825 (1992).CrossRefGoogle Scholar
  22. [22]
    PREX Collaboration, Phys. Rev. Lett. 108, 112502 (2012).CrossRefGoogle Scholar

Copyright information

© The Korean Physical Society 2019

Authors and Affiliations

  • W. Y. So
    • 1
  • T. H. Kim
    • 1
  • Myung-Ki Cheoun
    • 2
  • K. S. Kim
    • 3
    Email author
  • Ki-Seok Choi
    • 3
  1. 1.Department of Radiological ScienceKangwon National University at DogyeSamcheokKorea
  2. 2.Department of Physics and Origin of Matter and Evolution of Galaxy (OMEG) InstituteSoongsil UniversitySeoulKorea
  3. 3.School of Liberal Arts and ScienceKorea Aerospace UniversityKoyangKorea

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