Research Article

Shell Model Calculations for Proton-rich Zn Isotopes via New Generated Effective Interaction by Artificial Neural Networks

Volume: 40 Number: 3 September 30, 2019
EN TR

Shell Model Calculations for Proton-rich Zn Isotopes via New Generated Effective Interaction by Artificial Neural Networks

Abstract

In this study, the artificial neural network method has been employed for the generation of the new two-body matrix elements which is used for fpg shell nuclei. For this purpose, jj44b interaction Hamiltonian has been considered as a source. After the generation of the new Hamiltonian, both, original and new generated, are tested on proton-rich Zn isotopes. According to the results, the calculated values are close to the each other. As well the results from new interaction (jj44b_nn) are closer to the available experimental values in some cases.

Keywords

Nuclear shell model,pfg shell,jj44b,artificial neural network

References

  1. [1] Mayer, M.G., On Closed Shells in Nuclei. II, Phys.Rev. 75 (1949) 1969.
  2. [2] Jensen, J.H.D., et al.,On the "Magic Numbers" in Nuclear Structure, Phys.Rev. 75 (1949) 1766.
  3. [3] Mayer, M.G., On Closed Shells in Nuclei, Phys.Rev. 74 (1948) 235.
  4. [4] Mayer, M.G., Nuclear Configurations in the Spin-Orbit Coupling Model. I. Empirical Evidence, Phys.Rev. 78 (1950) 16.
  5. [5] Talmi, I., 55 Years Of The Shell Model: A Challenge To Nuclear Many-Body Theory, Int.J.Mod.Phys.E 14 (2005) 821.
  6. [6] Caurier, E., etal., The shell model as a unified view of nuclear structure, Rev.Mod.Phy. 77 (2005) 427.
  7. [7] Brown, B.A., The nuclear shell model towards the drip lines, Prog.Part.Nucl.Phys. 47 (2001) 517.
  8. [8] Brown, B.A. and Lisetskiy, A.F., unpublished. The jj44b Hamiltonian was obtained from a fit to about 600 binding energies and excitation energies with a method similar to that used for the JUN45 Hamiltonian.
  9. [9] Neufcourt, L., et al., Bayesian approach to model-based extrapolation of nuclear observables, Phys.Rev. C 98 (2018) 034318.
  10. [10] Negoita, G.A., et al., Deep Learning: A Tool for Computational Nuclear Physics, arXiv:1803.03215 [physics.comp-ph] (2018).
APA
Akkoyun, S., & Bayram, T. (2019). Shell Model Calculations for Proton-rich Zn Isotopes via New Generated Effective Interaction by Artificial Neural Networks. Cumhuriyet Science Journal, 40(3), 570-577. https://doi.org/10.17776/csj.534815
AMA
1.Akkoyun S, Bayram T. Shell Model Calculations for Proton-rich Zn Isotopes via New Generated Effective Interaction by Artificial Neural Networks. CSJ. 2019;40(3):570-577. doi:10.17776/csj.534815
Chicago
Akkoyun, Serkan, and Tuncay Bayram. 2019. “Shell Model Calculations for Proton-Rich Zn Isotopes via New Generated Effective Interaction by Artificial Neural Networks”. Cumhuriyet Science Journal 40 (3): 570-77. https://doi.org/10.17776/csj.534815.
EndNote
Akkoyun S, Bayram T (September 1, 2019) Shell Model Calculations for Proton-rich Zn Isotopes via New Generated Effective Interaction by Artificial Neural Networks. Cumhuriyet Science Journal 40 3 570–577.
IEEE
[1]S. Akkoyun and T. Bayram, “Shell Model Calculations for Proton-rich Zn Isotopes via New Generated Effective Interaction by Artificial Neural Networks”, CSJ, vol. 40, no. 3, pp. 570–577, Sept. 2019, doi: 10.17776/csj.534815.
ISNAD
Akkoyun, Serkan - Bayram, Tuncay. “Shell Model Calculations for Proton-Rich Zn Isotopes via New Generated Effective Interaction by Artificial Neural Networks”. Cumhuriyet Science Journal 40/3 (September 1, 2019): 570-577. https://doi.org/10.17776/csj.534815.
JAMA
1.Akkoyun S, Bayram T. Shell Model Calculations for Proton-rich Zn Isotopes via New Generated Effective Interaction by Artificial Neural Networks. CSJ. 2019;40:570–577.
MLA
Akkoyun, Serkan, and Tuncay Bayram. “Shell Model Calculations for Proton-Rich Zn Isotopes via New Generated Effective Interaction by Artificial Neural Networks”. Cumhuriyet Science Journal, vol. 40, no. 3, Sept. 2019, pp. 570-7, doi:10.17776/csj.534815.
Vancouver
1.Serkan Akkoyun, Tuncay Bayram. Shell Model Calculations for Proton-rich Zn Isotopes via New Generated Effective Interaction by Artificial Neural Networks. CSJ. 2019 Sep. 1;40(3):570-7. doi:10.17776/csj.534815