Abstract
In the present work, the bulk nuclear properties and features of some of the excited states in the neutron-rich even–even 46−54Ca isotopes have been investigated. In order to identify the magicity and the existence of new magic numbers in these isotopes, the shell model and Hartree–Fock–Bogoliubov method were implemented based on Skyrme parameterizations. In particular, root-mean-square charge radius, binding energies, one- and two-neutron separation energies, pairing gaps, reduced transition probabilities, excitation energies, energy levels, and quadrupole deformation parameters have been investigated. The calculated results were compared with available experimental data.
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M G Mayer Phys. Rev. 75 1969 (1949).
O Haxel, J H D Jensen and H E Suess Phys. Rev. 75 1766 (1949).
T Otsuka, R Fujimoto, Y Utsuno, B A Brown, M Honma and T Mizusaki Phys. Rev. Lett. 87 082502 (2001).
A A Alzubadi, R A Radhi and N S Manie Phys. Rev. C 97 024316 (2018).
A de Shalit and I Talmi Nuclear Shell Theory. (: Dover Publications) (2004)
J Bardeen, L N Cooper and J R Schrieffer Phys. Rev. 108 1175 (1957).
A Gade and T Glasmacher Prog. Part. Nucl. Phys. 60 161 (2008).
P Maierbeck et al Phys. Lett. B 675 22 (2009).
D Steppenbeck et al Nature 502 207 (2013).
F Wienholtz et al Nature 498 346 (2013).
R Bhattacharya Pramana J. Phys. 83 4 (2014).
B A Brown Lecture Notes in Nuclear Structure Physics National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, E. Lansing, MI 48824 (2005) (unpublished)
A Bohr and B R Mottelson Nuclear Structure, vol 1. (Singapore: World Scientific) (1988)
P J Brussard and P W M Glaudemans Shell Model Applications in Nuclear Spectroscopy. (Amsterdam: North-Holland Publishing Company) (1977)
W A Richter, M G Van Der Merwe, R E Julies and B A Brown Nucl. Phys. A 523 325 (1991).
A G M van Hees and P W M Glaudemans Z. Phys. A 303 267 (1981).
J B McGrory and B H Wildenthal Phys. Lett. 103B 173 (1981).
Y Utsuno, T Otsuka, B A Brown, M Honma, T Mizusaki and N Shimizu Phys. Rev. C 86 051301(R) (2012).
S Burrello Effective interactions and pairing correlations: from nuclei to compact stars. (: Anno Accademico) (2016)
E Chabanat, P Bonche, P Hansel, J Meyer and R Schaeffer Nucl. Phys. A 627 710 (1997).
J Stone and P-G Reinhard Prog. Part. Nucl. Phys. 58 587 (2007).
J Kvasil Nuclear Structure and Nuclear Processes (Prague: Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University) (2013)
P Ring and P Schuck The Nuclear Many Body Problem. (Berlin: Springer) (1980)
D J Rowe Nuclear Collective Motion Models and Theory. (Singapore: World Scientific Publishing Co. Pvt. Ltd.) (2010)
B A Brown and W D M Rae Nucl. Data. Sheets 120 115 (2014).
W D Rae NuShellX, http://www.garsington.eclipse.co.uk
M V Stoitsova, J Dobaczewski, W Nazarewicz and P Ring Comput. Phys. Commun. 167 43 (2005).
E Chabanat, P Bonche, P Haensel, J Meyer and R Schaeffer Nucl. Phys. A 635 231 (1998).
Y Xu, H Guo, Y Han and Q Shen J. Phys. G Nucl. Part. Phys. 41 015101 (2014).
B Brown et al Phys. Rev. C 76 034305 (2007).
P-G Reinhard and E W Otten Nucl. Phys. A 420 173 (1984).
I Angeli At. Data Nucl. Data Tables 99 69 (2013).
National Nuclear Data Center Brookhaven National Laboratory http://www.nndc. bnl.gov/
S Michimasa, M Kobayashi, Y Kiyokawa, S Ota, D S Ahn and H Baba Phys. Rev. Lett. 121 022506 (2018).
T Uesaka S Shimoura and H Sakai Prog Theor. Exp. Phys. 2012 03C007 (2012).
S R Stroberg et al Phys. Rev. Lett. 118 032502 (2017).
IAEA, Nuclear Data Services, https://www-nds.iaea.org
J B McGrory and B H Wildenthal Phys. Lett. B 103 173 (1981).
Y Utsuno, T Otsuka, B A Brown, M Honma, T Mizusaki and N Shimizu Phys. Rev. C 86 051301 (2012).
R F G Ruiz et al Nat. Phys. 12 594 (2016).
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Alzubadi, A.A., Allawi, R.A. Investigation of the magicity in some even–even Ca isotopes by using shell model and Hartree–Fock–Bogoliubov method. Indian J Phys 96, 1205–1216 (2022). https://doi.org/10.1007/s12648-021-02052-x
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DOI: https://doi.org/10.1007/s12648-021-02052-x