Correspondence between phenomenological and IBM-1 models of even isotopes of Yb

Anwer A

doi:10.1088/1674-1137/39/8/084101

Chinese Physics C> 2015, Vol. 39> Issue(8) : 084101 DOI: 10.1088/1674-1137/39/8/084101

Correspondence between phenomenological and IBM-1 models of even isotopes of Yb

Anwer A

Abstract
HTML
Reference
Related

PDF

Abstract：
Energy levels and the reduced probability of E2-- transitions for ytterbium isotopes with proton number Z=70 and neutron numbers between 100 and 106 have been calculated through phenomenological (PhM) and interacting boson (IBM-1) models. The predicted low-lying levels (energies, spins and parities) and the reduced probability for E2-- transitions results are reasonably consistent with the available experimental data. The predicted low-lying levels (gr--, β₁-- and γ₁-- band) produced in the PhM are in good agreement with the experimental data compared with those by IBM-1 for all nuclei of interest. In addition, the phenomenological model was successful in predicting the β₂--, β₃--, β₄--, γ₂-- and 1⁺-- band while it was a failure with IBM-1. Also, the 3⁺-- band is predicted by the IBM-1 model for ¹⁷²Yb and ¹⁷⁴Yb nuclei. All calculations are compared with the available experimental data.

[1]	Jia Chen , Chunsheng An , Hong Chen . Mixing of the lowest-lying qqq configurations with J^P=1/2^- in different hyperfine interaction models. Chinese Physics C, 2018, 42(3): 034104. doi: 10.1088/1674-1137/42/3/034104
[2]	Mustapha Maamache , Jeong Ryeol Choi . Quantum-classical correspondence for the inverted oscillator. Chinese Physics C, 2017, 41(11): 113106. doi: 10.1088/1674-1137/41/11/113106
[3]	Xing-Cai Guan , Yong-Kai Lu , Hou-Jun He , Jiang-Tao Zhao , Qiang Wang , Kai-Hong Fang , Xuan Meng , Tie-Shan Wang , Jirohta Kasagi . Deuterium depth distribution study in Yb. Chinese Physics C, 2017, 41(5): 054002. doi: 10.1088/1674-1137/41/5/054002
[4]	N. Al-Dahan . Descriptive study of the even-even actinide nuclei ^230-234Th isotopes using IBM-1. Chinese Physics C, 2017, 41(6): 064105. doi: 10.1088/1674-1137/41/6/064105
[5]	Mushtaq Abed Al-Jubbori , Khalaf Ajaj Al-Mtiuty , Khaliel. I. Saeed , Fadhil I. Sharrad . Properties of even ^168-178Hf isotopes using IBM-1 and SEF. Chinese Physics C, 2017, 41(8): 084103. doi: 10.1088/1674-1137/41/8/084103
[6]	LIANG Cui-Ying , DONG Yu-Bing . Deuteron form factors in a phenomenological approach. Chinese Physics C, 2015, 39(10): 104104. doi: 10.1088/1674-1137/39/10/104104
[7]	H. Y. Abdullah , I. M. Ahmad , M. A. Saeed . B(E2) value of even-even ^108-112Pd isotopes by interacting boson model-1. Chinese Physics C, 2014, 38(2): 024103. doi: 10.1088/1674-1137/38/2/024103
[8]	LIU Lang , ZHAO Peng-Wei . Exact treatment of pairing correlations in Yb isotopes with covariant density functional theory. Chinese Physics C, 2014, 38(7): 074103. doi: 10.1088/1674-1137/38/7/074103
[9]	YUAN Xu-Hao , KE Hong-Wei , LI Xue-Qian . Phenomenological study on the significance of the scalar potential and Lamb shift. Chinese Physics C, 2011, 35(5): 419-425. doi: 10.1088/1674-1137/35/5/002
[10]	CHEN Fang-Qi , SUN Yang , ZHOU Xian-Rong . Level statistics for the even-even Yb isotopes. Chinese Physics C, 2009, 33(S1): 24-26. doi: 10.1088/1674-1137/33/S1/008
[11]	ZHOU Xian-Rong , LONG Gui-Lu , LI Yan-Song . Beta Decay in ¹⁷⁶Yb. Chinese Physics C, 2004, 28(S1): 69-71.
[12]	ZHOU Xiao-Hong , ZHENG Yong , ZHANG Yu-Hu , GUO Ying-Xiang , LEI Xiang-Guo , LIU Zhong , HE Jian-Jun , LIU Min-Liang , LUO Wan-Ju , WEN Shu-Xian , ZHU Li-Hua , YANG Chun-Xiang . Shape Co-existence in ¹⁵⁷Yb. Chinese Physics C, 2002, 26(5): 441-444.
[13]	Liu Yingtai , Liao Jizhi . Correction on the Energy Spectra of the O(6) Limit of IBM1 Containing af-Boson With Three-Body Potential. Chinese Physics C, 1999, 23(1): 59-64.
[14]	Xu Shuwei , Xie Yuanxiang , Pan Qiangyan , Zhang Juping , Zhang Xueqian , Wang Yihao , Ge Yuanxiu , Yin Xijin , Wang Chunfang , Zhang Tianmei , Liu Zhong , Guo Bing , Luo Yixiao , Xing Zheng , Chen Xingqu . First Study of EC/β⁺ Decay Schemes for Neutron-Deficient Isotopes ¹⁵³Er and ¹⁵⁷Yb. Chinese Physics C, 1995, 19(3): 193-202.
[15]	Zhang Dali , Liu Yuxin , Han Qizhi . An IBM2 Description on the Low-lying States of Even-even Xe Isotopes. Chinese Physics C, 1994, 18(12): 1130-1136.
[16]	Wang Huangsheng , Liao Jizhi . Applications of the O(6) Limit of IBM1 with Three-Body Potential to the Even-Even Platinum Nuclei. Chinese Physics C, 1994, 18(1): 91-96.
[17]	Xing Zheng , Chen Xingqu . A Phenomenological Analysis of Superdeformed Bands in Even-Even Nuclei. Chinese Physics C, 1991, 15(S4): 411-417.
[18]	DI Yao-Min . M1 Transitions in the Vibrational Limit Case of IBM-Ⅱ. Chinese Physics C, 1991, 15(12): 1101-1108.
[19]	XI Jin-Hua , SUN Hong-Zhou . THE APPLICATION OF IBM AND IBFM IN RARE EARTH REGION. Chinese Physics C, 1990, 14(3): 258-265.
[20]	Xiong Liangyue . A Phenomenological Model for Positron Trapping at Dislocations. Chinese Physics C, 1988, 12(S1): 9-18.

Access

Get Citation

Anwer A. Correspondence between phenomenological and IBM-1 models of even isotopes of Yb[J]. Chinese Physics C, 2015, 39(8): 084101. doi: 10.1088/1674-1137/39/8/084101

Anwer A. Correspondence between phenomenological and IBM-1 models of even isotopes of Yb[J]. Chinese Physics C, 2015, 39(8): 084101. doi: 10.1088/1674-1137/39/8/084101 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2014-08-27
Revised: 1900-01-01

Article Metric

Article Views(1578)
PDF Downloads(171)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Correspondence between phenomenological and IBM-1 models of even isotopes of Yb

Anwer A

Received Date: 2014-08-27
Accepted Date: 1900-01-01
Available Online: 2015-08-15

Abstract: Energy levels and the reduced probability of E2-- transitions for ytterbium isotopes with proton number Z=70 and neutron numbers between 100 and 106 have been calculated through phenomenological (PhM) and interacting boson (IBM-1) models. The predicted low-lying levels (energies, spins and parities) and the reduced probability for E2-- transitions results are reasonably consistent with the available experimental data. The predicted low-lying levels (gr--, β₁-- and γ₁-- band) produced in the PhM are in good agreement with the experimental data compared with those by IBM-1 for all nuclei of interest. In addition, the phenomenological model was successful in predicting the β₂--, β₃--, β₄--, γ₂-- and 1⁺-- band while it was a failure with IBM-1. Also, the 3⁺-- band is predicted by the IBM-1 model for ¹⁷²Yb and ¹⁷⁴Yb nuclei. All calculations are compared with the available experimental data.