Nuclear Energy Levels Scheme of Sc46 by Using FPD6 and KB3G Interaction

Main Article Content

Hasan Ali Kadhim
Firas Zuhair Majeed

Abstract

Nuclear energy levels in  with modest occupancy of the fp-LS shell have been studied within shell model calculations. The interactions used to determine the nuclear energy levels are FPD6, KB3G, and FPY using the fp shell and d3f7cospn for 1d3/21f7/2 model space. Results are compared with each other, and with the existing experimental data, there is clear agreement with some results. Aside from the excellent agreements in the replicated values of energy levels scheme, using model space interactions is the best-fitted two-body matrix element in the fp shell model space. Particularly below 3MeV, the overall estimation of the replicated data is excellent. The wave vectors and analysis are represented in the so-called diagrammatic notation, and all inscriptions are provided in this style. A single particle vector is generated by utilizing the oscillator's potential and considering   as the core for the fp shell model space and as the inactive core for the d3f7 model space. Results are obtained for all examined nuclei using the OXFORD BEUNES AIRES SHELL MODEL CODE. 

Article Details

How to Cite
[1]
Hasan Ali Kadhim and Majeed , F.Z. 2024. Nuclear Energy Levels Scheme of Sc46 by Using FPD6 and KB3G Interaction. Ibn AL-Haitham Journal For Pure and Applied Sciences. 37, 3 (Jul. 2024), 147–156. DOI:https://doi.org/10.30526/37.3.3514.
Section
Physics

Publication Dates

Received

2023-05-30

Accepted

2023-07-13

Published Online First

2024-07-20

References

Honma, M.; Otsuka, T.; Brown, B.A.; Minzusaki, T. Effective interaction for pf-shell nuclei. Physical Review Journals. 2002, 65, 12-23. https://doi.org/10.1103/physrevc .65.061301

Crannell, H.; Helm, R.; Kendall, H.; Oeser, J.; Yearian, M. Electron-Scattering Study of Nuclear Levels in Cobalt, Nickel, Lead, and Bismuth. Physical Review Journals. 1961, 123(3), 923. https://doi.org/10.1103/physrev.123.923 .

Akkoyun, S.; Bayram, T.; Böyükata, M. Shell Model Calculations for some pf Shell Nuclei. ALKU Journal of Science. 2019, 18(2), 34-45.

Ali, A.M.; Khamees, A.A. Study of the Structure of Exotic 52,54,56,58Ca Isotopes Using OXBASH Code. Iraqi Journal of Science. 2019, 60(57), 55-67.

Hameed, B.S.; Rejah, B.K. Study the Nuclear Structure of Some Cobalt Isotopes. Baghdad Science Journal. 2022, 19(6), 1566. https://doi.org/10.21123/bsj.2022.753 .

Hasan, A.K.; Kareem, R.M. Calculation of Energy Levels and B(E2) for (_^(46-45 ))Ca, (_^(46-45 ))Sc and (_^(46-45 ))Ti Using Shell Model Code OXBASH. International Journal of Scientific and Research Publications. 2019, 9, 269. https://doi.org/10.29322/ijsrp.9.08. 2019.p9243.

Akkoyun, S.; Ayhan, Y.; Bayram, T. Nuclear Shell Model Calculations for Ca Isotopes. BEU Journal of Science. 2020, 9(3), 1102. https://doi.org/10.17798/bitlisfen.665872.

ŞAHİN, Y.; BÖYÜKATA, M.; Description of even-even Ti isotopes within IBM-1 model. Cumhuriyet Science Journal. 2021, 42(1), 177. https://doi.org/10.17776/csj.856118

Obaid, S.M.; Majeed, F.A.; Mohammed, F.E. Nuclear structure and Gamow-teller b(gt) transition strengths for some selected fp-shell nuclei, Karbala International Journal of Modern Science. 2022, 8, 522. https://doi.org/10.17776/csj.856118 .

Hasan, A. K.; Salih, A.A. Calculation of Energy Levels and B(E2) for 60Ni and 60Fe Isotopes by Using Nuclear Shell Model. National Qualification in Journalism. 2022, 20, 1050. https://doi.org/10.14704/nq.2022.20.8.NQ44115 .

Hasan, A.K.; Salih, A.A. Energy Levels and B(E2) Calculation for 50Fe Isotope Using F754 and F7mbz Interactions. National Qualification in Journalism. 2022, 20, 115. https://doi.org/10.14704/nq.2022.20.5.nq22154 .

Majeed F.Z.; Mashaan, S.S. Energy Levels Calculation for Ca Isotopes Using Different Interactions. Indian Journal of Natural Sciences. 2018, 9(50), 12-34.

Hassan, M.K.; Majeed, F.Z. FP shell effective interactions and nuclear shell structure of (_^44)Sc. East European journal of physics. 2023, 1, 89. doi.org/10.26565/2312-4334-2023-1-07 .

Hassan, M.K.; Majeed, F.Z. Nuclear energy levels in(_^( 44))Ca using fpd6pn interaction. East European journal of physics. 2023, 1, 69. doi.org/10.26565/2312-4334-2023-1-10.

Hussien, R.M.; Majeed, F.Z. The Effective M3Y Residual Interaction In (_^41)Ca As a Nuclear Diffraction Grating of Electrons. Baghdad Science Journal. 2022, 19(6), 1395. https://doi.org/10.21123/bsj.2022.6776.

Ali, A.H. Investigation of the Quadrupole Moment and Form Factors of Some Ca Isotopes. Baghdad Science Journal. 2020, 17(2), 507. https://doi.org/10.21123/bsj. 2020. 17.2.0502

Ali, A.M.; Khamees, A.A. Study of the Structure of Exotic 52,54,56,58Ca Isotopes Using OXBASH Code. Iraqi Journal of Science. 2019, 60, 60. https://doi.org/10.24996/ijs. 2019.60.1.8m

Hameed, B.S.; Rejah, B.K. Study the Nuclear Structure of Some Cobalt Isotopes. Baghdad Science Journal. 2022, 19, 1566. https://doi.org/10.21123/bsj.2022.7537.

Schielke, S.; Speidel, K.H.; Kenn, O.; Leske, J.; Gemein, N.; Offer, M.; Sharon, Y.Y.; Zamick, L.; Gerber, J.; Maier-Komor, P. First measurement and shell model interpretation of the g factor of the 21+ state in self-conjugate radioactive 44Ti. Physics Letters B. 2003, 567, 153–158. https://doi.org/10.1016/j.physletb.2003.06.027.

Schielke, S.; Hohn, D.; Speidel, K.H.; Kenn, O.; Leske, J.; Gemein, N.; Offer, M.; Gerber, J.; Maier-Komor, P.; Zell, O.; Sharon, Y.Y.; Zamick, L. Evidence for 40Ca core excitation from g factor and B(E2) measurements on the 21+ states of 42,44Ca. Physics Letters B. 2003, 571, 29–35. https://doi.org/10.1016/j.physletb.2003.08.015.

Poves, A.; Sánchez-Solano, J.; Caurier, E.; Nowacki, F. Shell model study of the isobaric chains A=50, A=51 and A=52. Nuclear Physics A. 2001, 694, 157–198. https://doi.org/ 10.1016/s0375-9474(01)00967-8.

Honma, M.; Otsuka, T.; Brown, B.A.; Mizusaki, T. Shell-model description of neutron-rich pf-shell nuclei with a new effective interaction GXPF 1. The European Physical Journal A. 2005, 25, 499–502. https://doi.org/10.1140/epjad/i2005-06-032-2.

Dinca, D.C.; Janssens, R.V.F.; Gade, A.; Bazin, D.; Broda, R.; Brown, B.A.; Campbell, C.M.; Carpenter, M.P.; Chowdhury, P.; Cook, J.M.; Deacon, A.N.; Fornal, B.; Freeman, S.J.; Glasmacher, T.; Honma, M.; Kondev, F.G.; Lecouey, J.-L.; Liddick, S.N.; Mantica, P.F.; Mueller, W.F.; Olliver, H.; Otsuka, T.; Terry, J.R.; Tomlin, B.A.; Yoneda, K. Reduced transition probabilities to the first2+state inTi52,54,56and development of shell closures at N=32,34. Physical Review C. 2005, 71, 12. https://doi.org/10.1103/physrevc .71.041302.

Bertsch, G.F.; Brown, B.A.; Sagawa, H. High-energy reaction cross sections of light nuclei. Physical Review C. 1989, 39(2),1154–1157. https://doi.org/10.1103/physrevc .39.1154.

Dean, D.J.; Hjorth-Jensen, M. Pairing in nuclear systems: from neutron stars to finite nuclei. Reviews of Modern Physics. 2003, 75, 607–656. https://doi.org/10.1103 /revmodphys.75.607.

Schmid, K.W.; Grümmer, F.; Faessler, A. Complex mean fields and unnatural parity pairing in the Hartree-Fock-Bogoliubov problem with symmetry-projection before the variation. Annals of Physics. 1987, 180, 1–73. https://doi.org/10.1016/0003-4916(87) 90129-1.

Petrovici, A.; Schmid, K.W.; Faessler, A. Microscopic aspects of shape coexistence in 72Kr and 74Kr. Nuclear Physics A. 2000, 665, 333–350.https://doi.org/10.1016/s0375-9474(99)00811-8.

Brown, B.A. Neutron Radii in Nuclei and the Neutron Equation of State. Physical Review Letters. 2000, 85, 5296–5299. https://doi.org/10.1103/physrevlett.85.5296.

Brown, B.A. OXBASH code, Msunscl Report. 1988, 524(23), 34-56.

Brussaard, P.J.; Glademans, P.W.M. Shell-model Applications in Nuclear Spectroscopy. North-Holland Publishing Company, Amsterdam. 1977, 12(3), 66-76.