Changes of deformed shell gaps at N ~ 100 in light rare-earth, neutron-rich nuclei

Liu, Yan-Xin; Lv, Cui-Juan; Sun, Yang; Kondev, Filip G.

doi:10.1088/1361-6471/ab752d

Title: Changes of deformed shell gaps at N ~ 100 in light rare-earth, neutron-rich nuclei

Journal Article · Thu Mar 26 00:00:00 EDT 2020 · Journal of Physics. G, Nuclear and Particle Physics

DOI:https://doi.org/10.1088/1361-6471/ab752d· OSTI ID:1616694

Liu, Yan-Xin ^[1]; Lv, Cui-Juan ^[2];

^[3]; Kondev, Filip G. ^[4]

Huzhou Univ. (China)
Shanghai Jiao Tong Univ. (China)
Shanghai Jiao Tong Univ. (China); Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Modern Physics; China Inst. of Atomic Energy (CIAE), Beijing (China)
Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division

There have been compelling evidences indicating that deformed single-particle states in neutron- rich regions are different from those in the stable region. It was pointed out that for the light rare- earth (60Nd, 62Sm, and 64Gd), neutron-rich (N = 98-102) nuclei, the Woods-Saxon potential, the Nilsson modified oscillator potential with "universal" parameters, and the folded Yukawa potential all failed to describe the correct ordering of neutron single-particle states. The location and size of deformed shell gaps in this mass region are under current debate. We propose a modification for the "standard" Nilsson parameters of Bengtsson and Ragnarsson introduced in 1985. The proposed N-dependent spin-orbit interaction brings an effect of the tensor force for the deformed potential, which causes dynamic changes in deformed shell gaps with neutron number and deformation. By applying the modified Nilsson parameters to generate deformed bases for the Projected Shell Model, we demonstrate that the calculation can explain consistently the current experimental data, including the ground state configuration in odd-neutron nuclei, upbending of the yrast moment of inertia at higher spins and the energies of 2-quasineutron 6- and 4- isomers in even-even nuclei.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: National Natural Science Foundation of China (NSFC); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1616694

Journal Information:: Journal of Physics. G, Nuclear and Particle Physics, Vol. 47, Issue 5; ISSN 0954-3899

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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References (47)

Systematics of $g$ factors of $2_{1}^{+}$ states in even-even nuclei from Gd to Pt: A microscopic description by the projected shell model Bian, Bao-An; Di, Yao-Min; Long, Gui-Lu Physical Review C, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevC.75.014312	journal	January 2007
An improved Nilsson parameter set in the Au-Pt region Zhang, Jing-ye; Larabee, A. J.; Riedinger, L. L. Journal of Physics G: Nuclear Physics, Vol. 13, Issue 5 https://doi.org/10.1088/0305-4616/13/5/004	journal	May 1987
Structure analysis of 159Sm and properties of odd-mass neutron-rich nuclei in mass-160 region Yang, YingChun; Sun, Yang Science China Physics, Mechanics and Astronomy, Vol. 54, Issue S1 https://doi.org/10.1007/s11433-011-4411-0	journal	July 2011
Spin yields of neutron-rich nuclei from deep inelastic reactions Asztalos, S. J.; Lee, I. Y.; Vetter, K. Physical Review C, Vol. 60, Issue 4 https://doi.org/10.1103/PhysRevC.60.044307	journal	September 1999
Tensor interaction in mean-field and density functional theory approaches to nuclear structure Sagawa, Hiroyuki; Colò, Gianluca Progress in Particle and Nuclear Physics, Vol. 76 https://doi.org/10.1016/j.ppnp.2014.01.006	journal	May 2014
On the structure of isomeric state in neutron-rich 108Zr: A projected shell model analysis Liu, YanXin; Yu, ShaoYing; Sun, Yang Science China Physics, Mechanics & Astronomy, Vol. 58, Issue 11 https://doi.org/10.1007/s11433-015-5733-0	journal	October 2015
New insights into the astrophysical r-process Mathews, G. J.; Cowan, J. J. Nature, Vol. 345, Issue 6275 https://doi.org/10.1038/345491a0	journal	June 1990
Evolution of Nuclear Shells due to the Tensor Force Otsuka, Takaharu; Suzuki, Toshio; Fujimoto, Rintaro Physical Review Letters, Vol. 95, Issue 23 https://doi.org/10.1103/PhysRevLett.95.232502	journal	November 2005
Three- and five-quasiparticle isomers, rotational bands and residual interactions in 175Hf Dracoulis, G. D.; Walker, P. M. Nuclear Physics A, Vol. 342, Issue 2 https://doi.org/10.1016/0375-9474(80)90259-6	journal	June 1980
Description of rotational properties of the superheavy nucleus 256,258,260Rf by projected shell model Zhou, Zhiyi; Liu, Yanxin; Yang, Yingchun Chinese Science Bulletin, Vol. 59, Issue 29-30 https://doi.org/10.1007/s11434-014-0574-1	journal	July 2014
Spin-Orbit Splitting and Tensor Force. II Arima, Akito; Terasawa, Tokuo Progress of Theoretical Physics, Vol. 23, Issue 1 https://doi.org/10.1143/PTP.23.115	journal	January 1960
Identification of levels in ^162,164 Gd and decrease in moment of inertia between N = 98–100 Jones, E. F.; Hamilton, J. H.; Gore, P. M. Journal of Physics G: Nuclear and Particle Physics, Vol. 30, Issue 12 https://doi.org/10.1088/0954-3899/30/12/L02	journal	October 2004
Low-lying states in even Gd isotopes studied with five-dimensional collective Hamiltonian based on covariant density functional theory Shi, Z.; Chen, Q. B.; Zhang, S. Q. The European Physical Journal A, Vol. 54, Issue 4 https://doi.org/10.1140/epja/i2018-12490-9	journal	April 2018
Source of the Rare-Earth Element Peak in $r$ -Process Nucleosynthesis Surman, Rebecca; Engel, Jonathan; Bennett, Jonathan R. Physical Review Letters, Vol. 79, Issue 10 https://doi.org/10.1103/PhysRevLett.79.1809	journal	September 1997
Nuclear ground-state masses and deformations: FRDM(2012) Möller, P.; Sierk, A. J.; Ichikawa, T. Atomic Data and Nuclear Data Tables, Vol. 109-110 https://doi.org/10.1016/j.adt.2015.10.002	journal	May 2016
Examining the stability of Sm nuclei around $N = 100$ Ghorui, S. K.; Sahu, B. B.; Praharaj, C. R. Physical Review C, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevC.85.064327	journal	June 2012
Isomer Decay Spectroscopy of ${}^{164}{Sm}$ and ${}^{166}{Gd}$ : Midshell Collectivity Around $N = 100$ Patel, Z.; Söderström, P. -A.; Podolyák, Zs. Physical Review Letters, Vol. 113, Issue 26 https://doi.org/10.1103/PhysRevLett.113.262502	journal	December 2014
Influence of neutron capture rates in the rare earth region on the $r$ -process abundance pattern Mumpower, Matthew R.; McLaughlin, Gail C.; Surman, Rebecca Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevC.86.035803	journal	September 2012
New $K$ isomers in the neutron-rich $N = 100$ isotones ${}^{162}{Sm}, {}^{163}{Eu}$ , and ${}^{164}{Gd}$ Yokoyama, R.; Go, S.; Kameda, D. Physical Review C, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevC.95.034313	journal	March 2017
Projected Shell Model and High-Spin Spectroscopy Hara, Kenji; Sun, Yang International Journal of Modern Physics E, Vol. 04, Issue 04 https://doi.org/10.1142/S0218301395000250	journal	December 1995
Nilsson parameter set in the A≊120–140 region Zhang, Jing-ye; Xu, N.; Fossan, D. B. Physical Review C, Vol. 39, Issue 2 https://doi.org/10.1103/PhysRevC.39.714	journal	February 1989
A systematical study of neutron-rich Zr isotopes by the projected shell model Liu, Y. -X.; Sun, Y.; Zhou, X. -H. Nuclear Physics A, Vol. 858, Issue 1 https://doi.org/10.1016/j.nuclphysa.2011.03.010	journal	May 2011
Nuclear Data Sheets for A = 161 Reich, C. W. Nuclear Data Sheets, Vol. 112, Issue 10 https://doi.org/10.1016/j.nds.2011.09.001	journal	October 2011
Nuclear Data Sheets for A = 163 Reich, C. W.; Singh, Balraj Nuclear Data Sheets, Vol. 111, Issue 5 https://doi.org/10.1016/j.nds.2010.04.001	journal	May 2010
Wobbling excitations in strongly deformed Hf nuclei? Hartley, D. J.; Djongolov, M. K.; Riedinger, L. L. Physics Letters B, Vol. 608, Issue 1-2 https://doi.org/10.1016/j.physletb.2005.01.007	journal	February 2005
$μ s$ isomers of ${}^{158, 160}{Nd}$ Ideguchi, E.; Simpson, G. S.; Yokoyama, R. Physical Review C, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevC.94.064322	journal	December 2016
Microscopic description of structural evolution in Pd, Xe, Ba, Nd, Sm, Gd and Dy isotopes Naz, Tabassum; Bhat, G. H.; Jehangir, S. Nuclear Physics A, Vol. 979 https://doi.org/10.1016/j.nuclphysa.2018.09.001	journal	November 2018
Shell overcomes repulsive nuclear force instability Satpathy, L.; Patra, S. K. Journal of Physics G: Nuclear and Particle Physics, Vol. 30, Issue 6 https://doi.org/10.1088/0954-3899/30/6/007	journal	April 2004
Decay spectroscopy of 160 Sm: The lightest four-quasiparticle K isomer Patel, Z.; Podolyák, Zs.; Walker, P. M. Physics Letters B, Vol. 753 https://doi.org/10.1016/j.physletb.2015.12.026	journal	February 2016
Isomer-delayed $γ$ -ray spectroscopy of $A = 159 - 164$ midshell nuclei and the variation of $K$ -forbidden $E 1$ transition hindrance factors Patel, Z.; Walker, P. M.; Podolyák, Zs. Physical Review C, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevC.96.034305	journal	September 2017
Single-particle and collective motion for proton-rich nuclei in the upper $pf$ shell Sun, Yang; Zhang, Jing-ye; Guidry, Mike Physical Review C, Vol. 62, Issue 2 https://doi.org/10.1103/PhysRevC.62.021601	journal	July 2000
Magnetic moments in the 1/2−[521] ground-state band of 171Yb and Coriolis-induced renormalization of rotational g-factors in odd-A rare-earth nuclei Stuchbery, A. E.; Anderssen, S. S.; Bolotin, H. H. Nuclear Physics A, Vol. 669, Issue 1-2 https://doi.org/10.1016/S0375-9474(99)00739-3	journal	April 2000
Multi-quasi-particle states in 173Hf Fabricius, B.; Dracoulis, G. D.; Kibédi, T. Nuclear Physics A, Vol. 523, Issue 2 https://doi.org/10.1016/0375-9474(91)90011-T	journal	February 1991
Rotational bands and particle-hole excitations at very high spin Bengtsson, Tord; Ragnarsson, Ingemar Nuclear Physics A, Vol. 436, Issue 1 https://doi.org/10.1016/0375-9474(85)90541-X	journal	March 1985
New magic numbers and new islands of stability in drip-line regions in mass model Satpathy, L.; Patra, S. K. Nuclear Physics A, Vol. 722 https://doi.org/10.1016/S0375-9474(03)01330-7	journal	July 2003
The $11 / 2^{-} [505]$ neutron extruder orbital in ${}^{159}{Sm}$ Urban, W.; Pinston, J. A.; Simpson, G. S. Physical Review C, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevC.80.037301	journal	September 2009
Studies of high-spin states in rare-earth nuclei using the angular-momentum projection method Hara, K.; Sun, Y. Nuclear Physics A, Vol. 537, Issue 1-2 https://doi.org/10.1016/0375-9474(92)90157-F	journal	February 1992
Masses and $β$ -Decay Spectroscopy of Neutron-Rich Odd-Odd ${}^{160, 162}{Eu}$ Nuclei: Evidence for a Subshell Gap with Large Deformation at $N = 98$ Hartley, D. J.; Kondev, F. G.; Orford, R. Physical Review Letters, Vol. 120, Issue 18 https://doi.org/10.1103/PhysRevLett.120.182502	journal	May 2018
Insight into nuclear midshell structures by studying $K$ isomers in rare-earth neutron-rich nuclei He, Xiao-Tao; Li, Yu-Chun Physical Review C, Vol. 98, Issue 6 https://doi.org/10.1103/PhysRevC.98.064314	journal	December 2018
Is the Nuclear Spin-Orbit Interaction Changing with Neutron Excess? Schiffer, J. P.; Freeman, S. J.; Caggiano, J. A. Physical Review Letters, Vol. 92, Issue 16 https://doi.org/10.1103/PhysRevLett.92.162501	journal	April 2004
Coriolis effects in the yrast states Stephens, F. S.; Simon, R. S. Nuclear Physics A, Vol. 183, Issue 2 https://doi.org/10.1016/0375-9474(72)90658-6	journal	March 1972
Rotational and intrinsic states above the $K^{π} {= 25 / 2}^{-}, T_{1 / 2} = 25$ day isomer in $^{179} Hf$ Mullins, S. M.; Dracoulis, G. D.; Byrne, A. P. Physical Review C, Vol. 61, Issue 4 https://doi.org/10.1103/PhysRevC.61.044315	journal	March 2000
Suppression of band crossing in the neutron-rich nuclei 172, 173Yb due to the absence of a static pair field Venkova, Ts.; Gast, W.; Lieder, R. M. The European Physical Journal A, Vol. 26, Issue 1 https://doi.org/10.1140/epja/i2005-10132-1	journal	September 2005
Rotational bands in $^{170} Yb$ and $^{171} Yb$ and the projected shell model Archer, D. E.; Riley, M. A.; Brown, T. B. Physical Review C, Vol. 57, Issue 6 https://doi.org/10.1103/PhysRevC.57.2924	journal	June 1998
$94 β$ -Decay Half-Lives of Neutron-Rich ${}_{55}{Cs}$ to ${}_{67}{Ho}$ : Experimental Feedback and Evaluation of the $r$ -Process Rare-Earth Peak Formation Wu, J.; Nishimura, S.; Lorusso, G. Physical Review Letters, Vol. 118, Issue 7 https://doi.org/10.1103/PhysRevLett.118.072701	journal	February 2017
Single particle and collective structure for nuclei near $^{132} Sn$ Zhang, Jing-ye; Sun, Yang; Guidry, Mike Physical Review C, Vol. 58, Issue 5 https://doi.org/10.1103/PhysRevC.58.R2663	journal	November 1998
On the nuclear structure and stability of heavy and superheavy elements Nilsson, Sven Gösta; Tsang, Chin Fu; Sobiczewski, Adam Nuclear Physics A, Vol. 131, Issue 1 https://doi.org/10.1016/0375-9474(69)90809-4	journal	June 1969

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Title: Changes of deformed shell gaps at N ~ 100 in light rare-earth, neutron-rich nuclei

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