Ground-state Properties of Er, Yb and Hf Isotopes

GUAN Xin; PAN Feng

doi:10.11804/NuclPhysRev.34.01.121

The Nilsson mean-field plus extended-pairing model for deformed nuclei is applied to describe the ground-state properties of selected rare-earth nuclei. Binding energies, even-odd mass differences, moments of inertia for the ground-state band of ^152-164Er, ^154-166Yb, and ^156-168Hf are calculated systematically in the model employing both proton-proton and neutron-neutron pairing interactions. In comparison with the corresponding experimental data, it is shown that for these rare-earth nuclei, pairing interaction is crucial in elucidating the properties of the ground state. With model parameters determined by fitting the energies of these states, ground-state occupation probabilities of valence nucleon pairs with angular momentum J =0,1, …,12 for even-even 156-162Yb are calculated. It is inferred that the occupation probabilities of valence nucleon pairs with even angular momenta are much higher than those of valence nucleon pairs with odd angular momenta. The results clearly indicate that S, D, and G valence nucleon pairs dominate in the ground state of these nuclei.

Ground-state Properties of Er, Yb and Hf Isotopes

1. Department of Physics, Liaoning Normal University, Dalian 116029, Liaoning, China;

2. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, USA

Funds: National Natural Science Foundation of China(11405080, 11375080, 11675071)

Received Date: 2016-09-18

Rev Recd Date: 2016-10-05

Publish Date: 2017-03-20

Key words:

ground state occupation probability /
pairing interaction strength /
Nilsson mean-field plus extended-pairing model

Abstract: The Nilsson mean-field plus extended-pairing model for deformed nuclei is applied to describe the ground-state properties of selected rare-earth nuclei. Binding energies, even-odd mass differences, moments of inertia for the ground-state band of ^152-164Er, ^154-166Yb, and ^156-168Hf are calculated systematically in the model employing both proton-proton and neutron-neutron pairing interactions. In comparison with the corresponding experimental data, it is shown that for these rare-earth nuclei, pairing interaction is crucial in elucidating the properties of the ground state. With model parameters determined by fitting the energies of these states, ground-state occupation probabilities of valence nucleon pairs with angular momentum J =0,1, …,12 for even-even 156-162Yb are calculated. It is inferred that the occupation probabilities of valence nucleon pairs with even angular momenta are much higher than those of valence nucleon pairs with odd angular momenta. The results clearly indicate that S, D, and G valence nucleon pairs dominate in the ground state of these nuclei.

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Reference (27)

[1]	BOHR A, MOTTELSON B R. Nuclear Structure, Vol. 1: Single-Particle Motion[M]. New York: Benjamin, 1969.
[2]	BELYAEV S T. Mat Fys Medd Dan Vid Selsk,1959, 31: 11.
[3]	RING P, SCHUCK P. The Nuclear Many-Body Problem[M]. Berlin: Springer Verleg, 1980.
[4]	HASEGAWA M, TAZAKI S. Phys Rev C, 1993, 47: 188.
[5]	BARDEEN J, COOPER L N, SCHRIEFFER J R. Phys Rev, 1957, 108: 1175.
[6]	KERMAN A K, LAWSON R D. Phys Rev, 1961, 124: 162.
[7]	VOLYA A, BROWN B A, ZELEVINSKY V. Phys Lett B, 2001, 509: 37.
[8]	ZELEVINSKY V, VOLYA A. Physics of Atomic Nuclei, 2003, 66: 1781.
[9]	SUN Y. Phys Scr, 2016, 91: 043005.
[10]	SUN Y, WU C L, BHATT K, et al. Nucl Phys A,2002, 703: 130.
[11]	IACHELLO F, ARIMA A. The Interacting Boson Model[M]. New York: Cambridge University Press, 1987.
[12]	MCGRORY J B. Phys Rev Lett, 1978, 41: 533.
[13]	OTSUKA T. Nucl Phys, 1981, 368: 244.
[14]	DUSSEL G G, SOFIA H M. Phys Rev C, 2008, 78: 014316.
[15]	PAN F, GUEORGUIEV V G, DRAAYER J P. Phys Rev Lett, 2004, 92: 112503.
[16]	PAN F, XIE M X, GUAN X, et al. Phys Rev C, 2009, 80: 044306.
[17]	GUAN X, HANG L, QI T, et al. Chin Phys C, 2011, 35: 747.
[18]	GUAN X, LAUNEY K D, WANG Y, et al. Phys Rev C, 2015, 92: 044303.
[19]	PAN F, GE M L, DRAAYER J P. J Phys A: Math Gen, 2000, 33: 4917.
[20]	AUDI G, WAPSTRA A H, THIBAULT C. Nucl Phys A, 2003, 729: 337.
[21]	INGLIS D R. Phys Rev, 1954, 96: 1059.
[22]	ZHOU S G, ZHENG C, HU J. Phys Rev C, 2001, 63: 047305.
[23]	SOOD P C, HEADLY D M, SHELINE R K. At. Data Nucl. Data Tables, 1991, 47: 89; JAIN A K, SHELINE R K, Sood P C, et al. Rev Mod Phys, 1990, 62: 393.
[24]	NILSSON S G, PRIOR O. Mat Fys Medd Dan Vid Selsk, 1961, 32: 16.
[25]	ZENG J Y, LEI Y A, JIN T H, et al. Phys Rev C, 1994, 50: 746.
[26]	ZHANG Y, BAO L, GUAN X, et al. Phys Rev C, 2013, 88: 064305.
[27]	GUAN X, XU H C, ZHANG Y, et al. Phys Rev C, 2016, 94: 024309.

Ground-state Properties of Er, Yb and Hf Isotopes

doi: 10.11804/NuclPhysRev.34.01.121

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