Abstract
Energies of nuclear excited states of nuclei, nuclear spin/parity and transition probabilities between nuclear levels can be calculated in the scope of nuclear shell model. The nuclei having magic numbers are used as inert core in the calculations. It is assumed that the nucleons in the inert core do not move outside from the core. Only valance nucleons out of the core are considered in the shell model calculations. In this study, the nuclear energy levels of even-even 42-56Ca isotopes have been calculated by the nuclear shell model using KShell computer code. This code enables us to perform nuclear shell-model calculations with M-scheme representation. In the calculations, doubly magic 40Ca isotope was taken as core. For the neutrons, 0f7/2, 1p3/2, 0f5/2 and 1p1/2 orbits are considered as model space. Excited nuclear level spins, parities and energies have been obtained for Ca isotopes. The results have been compared with the available experimental values in the literature.
References
- [1] Mayer, M.G. 1949. On Closed Shells in Nuclei. II. Phys.Rev. 75, 1969. [2] Haxel, O., et al. 1949. On the "Magic Numbers" in Nuclear Structure. Phys.Rev. 75, 1766. [3] Mayer, M.G. 1948. On Closed Shells in Nuclei, Phys.Rev. 74, 235. [4] Mayer, M.G. 1950. Nuclear Configurations in the Spin-Orbit Coupling Model. I. Empirical Evidence. Phys.Rev. 78, 16. [5] Talmi, I. 2005. 55 years of the shell model: a challenge to nuclear many-body theory. Int.J.Mod.Phys.E 14, 821. [6] Caurier, E., etal. 2005. The shell model as a unified view of nuclear structure. Rev.Mod.Phy. 77, 427. [7] Brown, B.A. 2001. The Nuclear Shell Model Towards the Drip Lines. Prog.Part.Nucl.Phys. 47, 517. [8] Shimizu, N. 2013. Nuclear shell-model code for massive parallel computation, KSHELL, arXiv:1310.5431 [nucl-th]. [9] Brown, B.A., Rae, W.D.M. 2014. The Shell-Model Code NuShellX@MSU. Nucl.Data Sheets. 120, 115. [10] REDSTICK, http://www.phys.lsu.edu/faculty/cjohnson/redstick.html. [11] Jhonson, C.W., et al. 2018. BIGSTICK: A flexible configuration-interaction shell-model code. arXiv:1801.08432v1 [physics.comp-ph]. [12] ANTOINE, http://www.iphc.cnrs.fr/nutheo/code_antoine/menu.html [13] Brown, B.A., et al. Oxbash for Windows, MSU_NSCL report number 1289. [14] NUDAT, https://www.nndc.bnl.gov/nudat2/
Abstract
Nükleer uyarılmış durum enerjileri, nükleer enerji/parite ve nükleer seviyeler arasındaki geçiş olasılıkları nükleer kabuk modeli kapsamında teorik olarak hesaplanabilir. Sihirli sayıları olan çekirdekler, hesaplamalarda kor çekirdek olarak kullanılır. Kor çekirdekteki nükleonların çekirdek dışına çıkmadığı varsayılmaktadır. Kabuk modeli hesaplamalarında sadece değerlik nükleonları dikkate alınır. Bu çalışmada, çift-çift 42-56Ca izotoplarının enerji seviyeleri, KShell bilgisayar kodu kullanılarak nükleer kabuk modeli kapsamında hesaplanmıştır. Bu kod, M şema gösterimi ile nükleer kabuk modeli hesaplamaları yapmaya olanak sağlar. Hesaplamalarda, çift sihirli 40Ca izotopu kor çekirdek olarak alındı. Nötronlar için 0f7/2,1p3/2, 0f5/2 and 1p1/2 yörüngeleri model uzay olarak kabul edildi. Ca izotopları için uyarılmış nükleer seviye spinleri, pariteleri ve enerjileri elde edildi. Sonuçlar literatürdeki mevcut deneysel değerlerle karşılaştırıldı.
References
- [1] Mayer, M.G. 1949. On Closed Shells in Nuclei. II. Phys.Rev. 75, 1969. [2] Haxel, O., et al. 1949. On the "Magic Numbers" in Nuclear Structure. Phys.Rev. 75, 1766. [3] Mayer, M.G. 1948. On Closed Shells in Nuclei, Phys.Rev. 74, 235. [4] Mayer, M.G. 1950. Nuclear Configurations in the Spin-Orbit Coupling Model. I. Empirical Evidence. Phys.Rev. 78, 16. [5] Talmi, I. 2005. 55 years of the shell model: a challenge to nuclear many-body theory. Int.J.Mod.Phys.E 14, 821. [6] Caurier, E., etal. 2005. The shell model as a unified view of nuclear structure. Rev.Mod.Phy. 77, 427. [7] Brown, B.A. 2001. The Nuclear Shell Model Towards the Drip Lines. Prog.Part.Nucl.Phys. 47, 517. [8] Shimizu, N. 2013. Nuclear shell-model code for massive parallel computation, KSHELL, arXiv:1310.5431 [nucl-th]. [9] Brown, B.A., Rae, W.D.M. 2014. The Shell-Model Code NuShellX@MSU. Nucl.Data Sheets. 120, 115. [10] REDSTICK, http://www.phys.lsu.edu/faculty/cjohnson/redstick.html. [11] Jhonson, C.W., et al. 2018. BIGSTICK: A flexible configuration-interaction shell-model code. arXiv:1801.08432v1 [physics.comp-ph]. [12] ANTOINE, http://www.iphc.cnrs.fr/nutheo/code_antoine/menu.html [13] Brown, B.A., et al. Oxbash for Windows, MSU_NSCL report number 1289. [14] NUDAT, https://www.nndc.bnl.gov/nudat2/
Details
| Primary Language | English |
|---|---|
| Journal Section | Araştırma Makalesi |
| Authors | |
| Publication Date | September 26, 2020 |
| Submission Date | December 27, 2019 |
| Acceptance Date | June 9, 2020 |
| Published in Issue | Year 2020 Volume: 9 Issue: 3 |
