Excited Energy Spectra for He and Be Isotopes from Different Shell Model Interactions

İlker Ahmet Bektemir; Serkan Akkoyun

doi:10.1501/nuclear.2023.59

Research Article

Excited Energy Spectra for He and Be Isotopes from Different Shell Model Interactions

Year 2021, Volume: 8 Issue: 2, 22 - 28, 28.03.2023

İlker Ahmet Bektemir Serkan Akkoyun

https://doi.org/10.1501/nuclear.2023.59

Abstract

One of the common methods used to investigate the nuclear structures of atomic nuclei is the nuclear shell model. Like the arrangement of atomic electrons in orbitals, in the nuclear shell model, protons and neutrons are thought to be placed in orbits within the nucleus in accordance with the Pauli exclusion principle. These orbitals group together to form shells, which if all possible levels in a shell are filled, the shell is said to be closed. Atomic nuclei with closed shells are very stable and in nuclear shell model calculations, the valence nucleons more than these nuclei are included in the calculations. In this study, the nuclear shell model was used to investigate the nuclear structures of He and Be isotopes. 4He nucleus have been taken as a closed-shell core nucleus. Considering p3/2 and p1/2 as single-particle orbits in model space, different two-body interactions are used between valence nucleons. The results from the interactions giving better results were compared with each other and with the available experimental values.

Keywords

Nuclear shell-model, He, Be, energy level, spin-parity, Nuclear shell-model, He, Be, energy level, spin-parity

References

[1] A. Bohr, B.R. Mottelson, “Nuclear Structure” New York: W.A. Benjamin (1969).
[2] I. Talmi, “55 years of the shell model: a challenge to nuclear many-body theory”, Int. J. Mod. Phys. E. 14, 821-844 (2005).
[3] E. Caurier, G. Martínez-Pinedo, F. Nowacki, A. Poves, A. P. Zuker, “The shell model as a unified view of nuclear structure”, Rev. Mod. Phy. 77, 427-488 (2005).
[4] A. Brown, “The Nuclear Shell Model Towards theDrip Lines”, Prog. Part. Nucl. Phys. 47, 517-599 (2001).
[5] K.L.G. Heyde, “The Nuclear Shell Model”, BerlinHeidelberg: Springer-Verlag (1990).
[6] M.G. Mayer, “On Closed Shells in Nuclei”, Phys. Rev. 74, 235-236 (1948).
[7] M.G. Mayer, “On Closed Shells in Nuclei. II”, Phys.Rev. 75, 1969-1970 (1949).
[8] D. Steppenbeck, S. Takeuchi, N. Aoi, P. Doornenbal, M. Matsushita, H. Wang, H. Baba, N. Fukuda, S. Go, M. Honma, J. Lee, K. Matsui, S. Michimasa, T. Motobayashi, D. Nishimura, T. Otsuka, H. Sakurai, Y. Shiga, P.-A. Söderström, T. Sumikama, H. Suzuki, R. Taniuchi, Y. Utsuno, J. J. Valiente-Dobón and K. Yoneda, “Evidence for a new nuclear ‘magic number’ from the level structure of 54Ca”, Nature 502, 207 (2013).
[9] N. Shimizu, “Nuclear shell-model code for massive parallel computation, KSHELL”, arXiv:1310.5431 [nucl-th] (2013).
[10] T. Pei-Luan, “Single Partical Orbit” [Online]. Available from:http://peiluan-tai.com/physics/shell_model.html, Accessed Date: 01 December 2022.
[11] I. Talmi, “Fifty Years of the Shell Model — The Quest for the Effective Interaction”, Advances in Nuclear Physics 27, 1-275 (2003).
[12] O. Haxel, J. Hans D. Jensen, and Hans E. Suess, “On the "Magic Numbers" in NuclearStructure”. Phys. Rev. 75, 1766 (1949).
[13] A. M.G. Mayer, “Nuclear Configurations in the Spin-OrbitCoupling Model. I. Empirical Evidence”, Phys. Rev. 78, 16-21 (1950).
[14] D. J. Dean, T. Engeland, M. Hjorth-Jensen, M. Kartamychev, E. Osnes, “Effective interactions and the nuclear shell-model”, Progress in Particle and Nuclear Physics 53, 419–500 (2004).
[15] B. A. Brown, et al. “Oxbash for Windows”, MSU_NSCL Report 1289 (2004).
[16] ANTOINE, Institut Pluridisciplinaire. Available from:http://www.iphc.cnrs.fr/nutheo/code_antoine/menu.html, Accessed Date: 01 December 2022.
[17] B.A. Brown, W.D.M. Rae, “The Shell-Model CodeNuShellX@MSU”, Nucl. Data Sheets 120, 115-118 (2014).
[18] C.W. Jhonson, W. Ormand, K. McElvain, H. Shan., “BIGSTICK: A flexibleconfiguration-interaction shell-model code”, arXiv:1801.08432v1 [physics.comp-ph] (2018).
[19] REDSTICK: A nuclear shell model program fort he 21st century. Available from: http://www.phys.lsu.edu/faculty/cjohnson/redstick.html,Accessed Date: 01 December 2022

Year 2021, Volume: 8 Issue: 2, 22 - 28, 28.03.2023

İlker Ahmet Bektemir Serkan Akkoyun

https://doi.org/10.1501/nuclear.2023.59

Abstract

Keywords

Nuclear shell-model, He, Be, energy level, spin-parity

References

[1] A. Bohr, B.R. Mottelson, “Nuclear Structure” New York: W.A. Benjamin (1969).
[2] I. Talmi, “55 years of the shell model: a challenge to nuclear many-body theory”, Int. J. Mod. Phys. E. 14, 821-844 (2005).
[3] E. Caurier, G. Martínez-Pinedo, F. Nowacki, A. Poves, A. P. Zuker, “The shell model as a unified view of nuclear structure”, Rev. Mod. Phy. 77, 427-488 (2005).
[4] A. Brown, “The Nuclear Shell Model Towards theDrip Lines”, Prog. Part. Nucl. Phys. 47, 517-599 (2001).
[5] K.L.G. Heyde, “The Nuclear Shell Model”, BerlinHeidelberg: Springer-Verlag (1990).
[6] M.G. Mayer, “On Closed Shells in Nuclei”, Phys. Rev. 74, 235-236 (1948).
[7] M.G. Mayer, “On Closed Shells in Nuclei. II”, Phys.Rev. 75, 1969-1970 (1949).
[8] D. Steppenbeck, S. Takeuchi, N. Aoi, P. Doornenbal, M. Matsushita, H. Wang, H. Baba, N. Fukuda, S. Go, M. Honma, J. Lee, K. Matsui, S. Michimasa, T. Motobayashi, D. Nishimura, T. Otsuka, H. Sakurai, Y. Shiga, P.-A. Söderström, T. Sumikama, H. Suzuki, R. Taniuchi, Y. Utsuno, J. J. Valiente-Dobón and K. Yoneda, “Evidence for a new nuclear ‘magic number’ from the level structure of 54Ca”, Nature 502, 207 (2013).
[9] N. Shimizu, “Nuclear shell-model code for massive parallel computation, KSHELL”, arXiv:1310.5431 [nucl-th] (2013).
[10] T. Pei-Luan, “Single Partical Orbit” [Online]. Available from:http://peiluan-tai.com/physics/shell_model.html, Accessed Date: 01 December 2022.
[11] I. Talmi, “Fifty Years of the Shell Model — The Quest for the Effective Interaction”, Advances in Nuclear Physics 27, 1-275 (2003).
[12] O. Haxel, J. Hans D. Jensen, and Hans E. Suess, “On the "Magic Numbers" in NuclearStructure”. Phys. Rev. 75, 1766 (1949).
[13] A. M.G. Mayer, “Nuclear Configurations in the Spin-OrbitCoupling Model. I. Empirical Evidence”, Phys. Rev. 78, 16-21 (1950).
[14] D. J. Dean, T. Engeland, M. Hjorth-Jensen, M. Kartamychev, E. Osnes, “Effective interactions and the nuclear shell-model”, Progress in Particle and Nuclear Physics 53, 419–500 (2004).
[15] B. A. Brown, et al. “Oxbash for Windows”, MSU_NSCL Report 1289 (2004).
[16] ANTOINE, Institut Pluridisciplinaire. Available from:http://www.iphc.cnrs.fr/nutheo/code_antoine/menu.html, Accessed Date: 01 December 2022.
[17] B.A. Brown, W.D.M. Rae, “The Shell-Model CodeNuShellX@MSU”, Nucl. Data Sheets 120, 115-118 (2014).
[18] C.W. Jhonson, W. Ormand, K. McElvain, H. Shan., “BIGSTICK: A flexibleconfiguration-interaction shell-model code”, arXiv:1801.08432v1 [physics.comp-ph] (2018).
[19] REDSTICK: A nuclear shell model program fort he 21st century. Available from: http://www.phys.lsu.edu/faculty/cjohnson/redstick.html,Accessed Date: 01 December 2022

There are 19 citations in total.

Details

Primary Language	English
Subjects	Engineering
Journal Section	Research Articles
Authors	İlker Ahmet Bektemir 0000-0002-8996-3385 Serkan Akkoyun 0000-0002-8996-3385
Publication Date	March 28, 2023
Submission Date	December 6, 2022
Published in Issue	Year 2021Volume: 8 Issue: 2

Cite

APA	Bektemir, İ. A., & Akkoyun, S. (2023). Excited Energy Spectra for He and Be Isotopes from Different Shell Model Interactions. Journal of Nuclear Sciences, 8(2), 22-28. https://doi.org/10.1501/nuclear.2023.59
AMA	Bektemir İA, Akkoyun S. Excited Energy Spectra for He and Be Isotopes from Different Shell Model Interactions. Journal of Nuclear Sciences. March 2023;8(2):22-28. doi:10.1501/nuclear.2023.59
Chicago	Bektemir, İlker Ahmet, and Serkan Akkoyun. “Excited Energy Spectra for He and Be Isotopes from Different Shell Model Interactions”. Journal of Nuclear Sciences 8, no. 2 (March 2023): 22-28. https://doi.org/10.1501/nuclear.2023.59.
EndNote	Bektemir İA, Akkoyun S (March 1, 2023) Excited Energy Spectra for He and Be Isotopes from Different Shell Model Interactions. Journal of Nuclear Sciences 8 2 22–28.
IEEE	İ. A. Bektemir and S. Akkoyun, “Excited Energy Spectra for He and Be Isotopes from Different Shell Model Interactions”, Journal of Nuclear Sciences, vol. 8, no. 2, pp. 22–28, 2023, doi: 10.1501/nuclear.2023.59.
ISNAD	Bektemir, İlker Ahmet - Akkoyun, Serkan. “Excited Energy Spectra for He and Be Isotopes from Different Shell Model Interactions”. Journal of Nuclear Sciences 8/2 (March 2023), 22-28. https://doi.org/10.1501/nuclear.2023.59.
JAMA	Bektemir İA, Akkoyun S. Excited Energy Spectra for He and Be Isotopes from Different Shell Model Interactions. Journal of Nuclear Sciences. 2023;8:22–28.
MLA	Bektemir, İlker Ahmet and Serkan Akkoyun. “Excited Energy Spectra for He and Be Isotopes from Different Shell Model Interactions”. Journal of Nuclear Sciences, vol. 8, no. 2, 2023, pp. 22-28, doi:10.1501/nuclear.2023.59.
Vancouver	Bektemir İA, Akkoyun S. Excited Energy Spectra for He and Be Isotopes from Different Shell Model Interactions. Journal of Nuclear Sciences. 2023;8(2):22-8.