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Nucleon numbers for nuclei with shape coexistence

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Published: Apr 1, 2019
DOI: https://doi.org/10.12681/hnps.1804
Keywords:
shape coexistence proxy-SU(3)
Andriana Martinou
Institute of Nuclear and Particle Physics, National Centre for Scientific Research “Demokritos”
Dennis Bonatsos
Institute of Nuclear and Particle Physics, National Centre for Scientific Research “Demokritos”
N. Minkov
Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences
T. J. Mertzimekis
Department of Physics, National Kapodistrian University of Athens
I. E. Assimakis
Institute of Nuclear and Particle Physics, National Centre for Scientific Research “Demokritos”
S. Peroulis
Department of Physics, National Kapodistrian University of Athens
S. Sarantopoulou
Institute of Nuclear and Particle Physics, National Centre for Scientific Research “Demokritos”
Abstract

We consider two competing sets of nuclear magic numbers, namely the harmonic oscillator (HO) set (2, 8, 20, 40, 70, 112, 168, 240,...) and the set corresponding to the proxy-SU(3) scheme, possess- ing shells 0-2, 2-4, 6-12, 14-26, 28-48, 50-80, 82-124, 126-182, 184-256... The two sets provide 0+bands with different deformation and bandhead energies. We show that for proton (neutron) numbers starting from the regions where the quadrupole-quadrupole (Q · Q) interaction, as derived by the HO, becomes weaker than the one obtained in the proxy-SU(3) scheme, to the regions of HO shell clo- sure, the shape coexistence phenomenon may emerge. Our analysis suggests that the possibility for appearance of shape coexistence has to be investigated in the following regions of proton (neutron) numbers: 8, 18-20, 34-40, 60-70, 96-112, 146-168, 210-240,...

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References
J. P. Elliott, Proc. Roy. Soc. Ser. A Vol. 245, 562, (1958).
C. Cohen-Tannoudji, B. Diu, F. Laloe, Quantum Mechanics, Volume I (Herman, Paris, 1977).
H. J. Lipkin, Lie Groups for Pedestrians (North-Holland, Amsterdam, 1965).
D. J. Rowe, Rep. Prog. Phys. 48, 1419 (1985).
J. P. Draayer, Y. Leschber, S. C. Park and R. Lopez, Comput. Phys. Commun. 56, 279 (1989).
M. Harvey et al., in Advances in Nuclear Physics, Vol. 1, (Plenum, New York, 1968) 67.
S. G. Nilsson and I. Ragnarsson, Shapes and Shells in Nuclear Structure (Cambridge University Press, Cambridge, 1995).
D. Bonatsos et al., Phys. Rev. C 95, 064325 (2017).
D. Bonatsos et al., Phys. Rev. C 95, 064326, (2017).
R. Casten et al., Algebraic Approaches to Nuclear Structure, (Harwood, 1993).
K. Heyde and J. L. Wood, Rev. Mod. Phys. 83, 1467 (2011).
J.L. Wood et al., Phys. Rep. 215, 101 (1992).