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

Serkan Akkoyun; Tuncay Bayram

doi:10.17776/csj.534815

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] Mayer, M.G., On Closed Shells in Nuclei. II, Phys.Rev. 75 (1949) 1969.
[2] Jensen, J.H.D., et al.,On the "Magic Numbers" in Nuclear Structure, Phys.Rev. 75 (1949) 1766.
[3] Mayer, M.G., On Closed Shells in Nuclei, Phys.Rev. 74 (1948) 235.
[4] Mayer, M.G., Nuclear Configurations in the Spin-Orbit Coupling Model. I. Empirical Evidence, Phys.Rev. 78 (1950) 16.
[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] Caurier, E., etal., The shell model as a unified view of nuclear structure, Rev.Mod.Phy. 77 (2005) 427.
[7] Brown, B.A., The nuclear shell model towards the drip lines, Prog.Part.Nucl.Phys. 47 (2001) 517.
[8] Brown, B.A. and Lisetskiy, A.F., unpublished.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] Neufcourt, L., et al., Bayesian approach to model-based extrapolation of nuclear observables, Phys.Rev. C 98 (2018) 034318.
[10] Negoita, G.A., et al., Deep Learning: A Tool for Computational Nuclear Physics, arXiv:1803.03215 [physics.comp-ph] (2018).
[11] Yildiz, N., et al., Consistent Empirical Physical Formula Construction for Gamma Ray Angular Distribution Coefficients by Layered Feedforward Neural Network, Cumhuriyet Sci.J., 39 (2018) 928.
[12] Bayram, T., et al., A study on ground-state energies of nuclei by using neural networks, Ann.Nucl.Energy., 63 (2014) 172.
[13] Akkoyun, S., et al., An artificial neural network application on nuclear charge radii, J. Phys. G: Nucl. Part. Phys., 40 (2013) 055106.
[14] Shimizu, N. Nuclear shell-model code for massive paralel computation, KSHELL, arXiv:1310.5431 [nucl-th] (2013).
[15] Haykin, S., Neural Networks: A Comprehensive Foundation (Englewood Cliffs, NJ: Prentice-Hall) (1999).
[16] Brown, B.A., Rae, W.D.M., The Shell-Model Code NuShellX@MSU Nucl.Data Sheets. 120 (2014) 115.
[17] REDSTICK, http://www.phys.lsu.edu/faculty/cjohnson/redstick.html
[18] Jhonson, C.W., et al., BIGSTICK: A flexible configuration-interaction shell-model code, arXiv:1801.08432v1 [physics.comp-ph] (2018).
[19] ANTOINE, http://www.iphc.cnrs.fr/nutheo/code_antoine/menu.html
[20] B. A. Brown, et al., Oxbash for Windows, MSU_NSCL report number 1289.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Serkan Akkoyun ^*
0000-0002-8996-3385
Türkiye

Tuncay Bayram
Türkiye

Publication Date

September 30, 2019

Submission Date

March 2, 2019

Acceptance Date

July 29, 2019

Published in Issue

Year 2019 Volume: 40 Number: 3

DOI

https://doi.org/10.17776/csj.534815

IZ

https://izlik.org/JA24PA48YH

Cite

RIS / Bibtex

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

Cited By

Estimation of (n,p) reaction cross sections at 14.5 ∓0.5 MeV neutron energy by using artificial neural network

Applied Radiation and Isotopes

https://doi.org/10.1016/j.apradiso.2020.109584

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

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

Abstract

Keywords

Yapay Sinir Ağı ile Yeni Üretilen Etkin Etkileşimle Nötron Zengini Zn İzotopları için Kabuk Modeli Hesaplamaları

Öz

Anahtar Kelimeler

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Estimation of (n,p) reaction cross sections at 14.5 ∓0.5 MeV neutron energy by using artificial neural network