FP Shell Effective Interactions and Nuclear Shell Structure of 44Sc
Abstract
Abstract: Nuclear energy levels in 44Sc isotope, with fp shell model space occupation low levels fp-LS shell within shell model calculations had been investigated. The interactions has been used to calculate the nuclear energy levels which are fpd6, hw, fpy, with fp shell model space, d3f7cospn for 1d3/21f7/2 model space. The results are compared with each other and with available experimental data, its agreement with some results are clear. The used of model space interactions is the best fitted two body matrix elements in fp shell model space beside the good agreements in the reproduced values of energy levels scheme. The general estimation of the reproduced data are good especially below 3MeV. All inscriptions are given in diagrammatic notation, the wave vectors and analysis are modeled in the so called diagrammatic notation. The potential of oscillator is utilized to construct single particle vector, considering (_20^40)〖Ca〗_20 as a core for fp shell model space and (_16^32)S_(16 ) as an inert core for the model space d3f7. The OXFORD BEUNES AIRES SHELL MODEL CODE is utilized to accomplish the results for all tested nuclei.
Downloads
References
M. Honma, T. Otsuka, B.A. Brown, and T. Minzusaki, “Effective interaction for pf-shell nuclei”, Phys. Rev. C, 65, 061301(R) (2002). https://doi.org/10.1103/PhysRevC.65.061301
H. Crannell, R. Helm, H. Kendall, J. Oeser, and M. Yearian, “Electron-Scattering Study of Nuclear Levels in Cobalt, Nickel, Lead, and Bismuth”, Phys. Rev. 123(3), 923 (1961). https://doi.org/10.1103/PhysRev.123.923
J.I. Prisciandaro, P.F. Mantica, B.A. Brown, D.W. Anthony, M.W. Cooper, A. Garcia, D.E. Groh, et al., “New evidence for a subshell gap at N=32”, Phys. Lett. B, 510, 17-23 (2001). https://doi.org/10.1016/S0370-2693(01)00565-2
E. Caurier, and A.P. Zuker, Phys. Rev. C, 50, 225 (1994). https://doi.org/10.1103/PhysRevC.50.225
A. Poves, J. Sánchez-Solano, E. Caurier, and F. Nowacki, Nucl. Phys. A, 694, 157 (2001). https://doi.org/10.1016/S0375-9474(01)00967-8
W.A. Richter, M.G. Van Der Merwe, R.E. Julies, and B.A.Brown, Nucl. Phys. A, 532, 325 (1991). https://doi.org/10.1016/0375-9474(91)90007-S
V. Zelevinsky, B.A. Brown, N. Frazier, and M. Horoi, Phys. Rep. 276, 8 (1996). https://doi.org/10.1016/S0370-1573(96)00007-5
R.R. Whitehead, A. Watt, D. Kelvin, and A. Conkie, Phys. Lett. B, 76, 149 (1978). https://doi.org/10.1016/0370-2693(78)90262-9
B.A. Brown, G. Bertsch, Phys. Lett. B, 148(1-3), 5 (1984). https://doi.org/10.1016/0370-2693%2884%2991598-3
J. Suhonen, From Nucleons to Nucleus Concepts of Microscopic Nuclear Theory, (Springer, Finland, 2006).
R.D. Lawson, Theory of the Nuclear Shell Model, (Clarendon Press, Oxford, New York, 1980).
L. Coraggio, A. Covello, N. Itaco, and T.T.S. Kuo, Prog. Part. Nucl. Phys. 62, 135 (2009). https://doi.org/10.1016/j.ppnp.2008.06.001
F.Z. Majeed, and S.S. Mashaan, Indian Journal of Natural Sciences, 9, 50 (2018).
B.A. Brown et al, OXBASH code, MSUNSCL Report 524 (1988).
P.J. Brussaard, and P.W.M. Glademans, Shell-model Applications in Nuclear Spectroscopy, (North-Holland Publishing Company, Amsterdam, 1977).
H. Sagawa, and X.Z. Zhang, “Evolution of Deformations in Medium-Mass Nuclei”, Phys. Rev. C, 72(5), 054311 (2005). https://doi.org/10.1103/PhysRevC.72.054311
G. Audi, F.G. Kondev, Meng Wang, W.J. Huang, and S. Naimi, “The NUBASE2016 Evaluation of Nuclear Properties”, Chinese Phys. C, 41(3), 030001 (2017). https://doi.org/10.1088/1674-1137/41/3/030001
A.A. Al-Rahmani, S.F. Kazem, “Elastic Electron-Nucleus Scattering Form Factors of Selected Medium Mass Nuclei”, NeuroQuantology, 18(8), 49-58 (2020). https://doi.org/14704/nq.2020.18.8.NQ20204
A.H. Ali, “Investigation of the Quadrupole Moment and Form Factors of Some Ca Isotopes”, Baghdad Science Journal, 17(2), 0502 (2020). https://doi.org/10.21123/bsj.2020.17.2.0502
L. Wang, J. Liu, R. Wang, M. Lyu, C. Xu, and Z. Ren, “Global analysis of nuclear cluster structure from the elastic and inclusive electron scattering”, Phys. Rev. C, 103, 054307 (2021). https://doi.org/10.1103/PhysRevC.103.054307
B. Hernández, P. Sarriguren, O. Moreno, E. Moya de Guerra, D.N. Kadrev, and A.N. Antonov, “Nuclear shape transitions and elastic magnetic electron scattering”, Phys. Rev. C, 103, 014303 (2021). https://doi.org/10.1103/PhysRevC.103.014303
Copyright (c) 2023 Maryam K. Hassan, Firas Z. Majeed
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
