Abstact
It has been found that high-order deformation (e.g. β 6) can have important effects on the structures of superheavy nuclei. In the present work, we investigate octupole deformation effects on superheavy nuclei with an improved potential-energy-surface (PES) calculation by including reflection-asymmetric deformations in a space of (β 2, β 3, β 4, β 5). The calculations give various deformations including highly deformed (β 2 ≈ 0.4) and superdeformed (β2 ≈ 0.7) shapes. The octupole-deformation degree of freedom mainly affects the fission barrier beyond the second minimum of PES.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Butler P A, Nazarewicz W. Intrinsic reflection asymmetry in atomic nuclei. Rev Mod Phys, 1996, 68: 349–421
Nazarewicz W, Tabor S L. Ocutpole shapes and shape changes at high spins in the Z ≈ 58, N ≈ 88 nuclei. Phys Rev C, 1992, 45: 2226–223
Nazarewicz W, Olanders P, Ragnarsson I, et al. High-spin consequences of octupole shape in nuclei around 222Th. Phys Rev Lett, 1984, 152: 1272–1275
Nazarewicz W, Leander G A, Dudek J. Octupole shapes and shape changes at high spins in Ra and Th nuclei. Nucl Phys A, 1987, 467: 437–460
Sun Y, Zhang J Y, Long G L, et al. Coexistence of normal, super-, and hyper-deformation in nuclei: A study with angular momentum projection method. Chin Sci Bull, 2009, 54: 358–363
Inakura T, Imagawa H, Hashimoto Y, et al. Soft octupole vibrations on superdeformed states in nuclei around 40Ca suggested by Skyrme-HF and self-consistent RPA calculations. Eur Phys J A, 2005, 25: 545–546
Lauritsen T, Janssens R V F, Carpenter M P, et al. Octupole vibration in superdeformed 15266 Dy86. Phys Rev Lett, 2002, 89: 282501
Crowell B, Carpenter M P, Janssens R V F, et al. Relative spins and excitation energies of superdeformed bands in 190Hg: Further evidence for octupole vibration. Phys Rev C, 1995, 51: R1599–R1603
Roßbach D, Görgen A, Hübel H, et al. Evidence for octupole vibration in superdeformed 196Pb. Phys Lett B, 2001, 513: 9–1
Meyer J, Bonche P, Weiss M S, et al. Quadrupole and octupole correlation in normal, superdeformed and hyperdeformed states of 194Pb. Nucl Phys A, 1995, 588: 597–622
Liu W, Li Z, Bai X, et al. BRIF and CARIF progress. Sci China Phys Mech Astron, 2011, 54 (Suppl 1): 14–17
Kand X Z, Shen S F. Study of the high spin states in stable nucleus 84Sr. Chin Sci Bull, 2010, 55: 3372–3372
Cao Z X, Ye Y L. Study of the structure of unstable nuclei through the reaction experiments. Sci China Phys Mech Astron, 2011, 54(Suppl 1): 1–5
Tian W D, Ma Y G, Cai X Z, et al. Isospin and symmetry energy study in nuclear EOS. Sci China Phys Mech Astron, 2011, 54(Suppl 1): 141–148
Zhao E G, Wang F. Recent progress in theoretical nuclear physics related to large-scale scientific facilities. Chin Sci Bull, 2011, 56: 3797–3802
Ren Z Z, Toki H. Superdeformation in the newly discovered superheavy elements. Nucl Phys A, 2001, 689: 691–706
Ren Z Z. Shape coexistence in even-even superheavy nuclei. Phys Rev C, 2002, 65: 051304 (R)
Delaroche J -P, Girod M, Goutte H, et al. Structure properties of eveneven actinides at normal and super deformed shapes analysed using the Gogny force. Nucl Phys A, 2006, 771: 103–168
Jachimowicz P, Kowal M, Skalski J. Superdeformed oblate superheavy nuclei. Phys Rev C, 2011, 83: 054302
Liu H L, Xu F R, Walker P M, et al. Effects of high-order deformation on high-K isomers in superheavy nuclei. Phys Rev C, 2011, 83: 011303 (R)
Liu H L, Xu F R, Sun Y, et al. On the stability of high-K isomers in the second well of actinide nuclei. Eur Phys J A, 2011, 47: 135
Xu F R, Walker P M, Sheikh J A, et al. Multi-quasiparticle potentialenergy surface. Phys Lett B, 1998, 435: 257–263
Möller P, Nix J R. Nuclear mass formula with a Yukawa-plusexponential macroscopic model and a folded-Yukawa single-particle potential. Nucl Phys A, 1981, 361: 117–146
Möller P, Nix J R, Myers W K, et al. Nuclear ground-state masses and deformations. At Data Nucl Data Tables, 1995, 59: 185–381
Myers W D, Swiatecki W J. Nuclear masses and deformations. Nucl Phys A, 1966, 81: 1–58
Nazarewicz W, Dudek J, Bengtsson R, et al. Microscopic study of the high-spin behaviour in selected A ∼ 80 nuclei. Nucl Phys A, 1985, 435: 397–447
SatuŁa W, Wyss R, Magierski P. The lipkin-nogami formalism for the cranked mean field. Nucl Phys A, 1994, 578: 45–61
Pradhan H C, Nogami Y, Law J. Study of approximations in the nuclear pairing-force problem. Nucl Phys A, 1973, 201: 357–368
Möller P, Nix J R. Nuclear pairing models. Nucl Phys A, 1992, 536: 20–60
Statuła W, Wyss R. Coherence of nucleonic motion in superdeformed nuclei: Towards an understanding of identical bands. Phys Rev C, 1994, 50: 2888–2892
Nazarewicz W, Riley M A, Garrett J D. Equilibrium deformations and excitation energies of single-quasiproton band heads of rare-earth nuclei. Nucl Phys A, 1990, 512: 61–96
Strutinsky V M. Shell effects in nuclear masses and deformation energies. Nucl Phys A, 1967, 95: 420–442
Nazarewicz W, Olanders P, Ragnarsson I, et al. Analysis of octupole instability in medium-mass and heavy nuclei. Nucl Phys A, 1984, 429: 269–295
Berger J F, Girod M, Gogny D. Constrained hartree-fock and beyond. Nucl Phys A, 1989, 502: 85–104
Muntian I, Sobiczewski A. Superdeformed ground state of superheavy nuclei. Phys Lett B, 2004, 586: 254–257
Author information
Authors and Affiliations
Corresponding author
Additional information
This article is published with open access at Springerlink.com
Rights and permissions
This article is published under an open access license. Please check the 'Copyright Information' section either on this page or in the PDF for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.
About this article
Cite this article
Wang, H., Liu, H., Xu, F. et al. Investigation of octupole effects in superheavy nuclei with improved potential-energy-surface calculations. Chin. Sci. Bull. 57, 1761–1764 (2012). https://doi.org/10.1007/s11434-012-5118-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11434-012-5118-y