Properties of even <sup>168-178</sup>Hf isotopes using IBM-1 and SEF

Mushtaq Abed Al-Jubbori; Khalaf Ajaj Al-Mtiuty; Khaliel. I. Saeed; Fadhil I. Sharrad

doi:10.1088/1674-1137/41/8/084103

Chinese Physics C> 2017, Vol. 41> Issue(8) : 084103 DOI: 10.1088/1674-1137/41/8/084103

Properties of even ^168-178Hf isotopes using IBM-1 and SEF

1.
Department of Physics, College of Education for Pure Science, University of Mosul, 41001 Mosul, Iraq
2.
Department of Physics, College of Education for Pure Science, University of Mosul, Iraq
3.
Ministry of Education, 41001 Mosul, Iraq
4.
Department of Physics, College of Science, Kerbala University, 56001 Karbala, Iraq

Abstract
HTML
Reference
Related

PDF

Abstract：
The properties of the ground and excited-state (γ-and β-bands) of ^168-178Hf nuclei have been studied. The ratio r(I+2/I) and Eγ (I→ I-2)/I have been calculated as a function of the spin (I) to determine the ground-state evolution. The results indicate that these isotopes have a rotational property SU(3). The energy levels for the ground-state, γ-and β-bands of ^168-178Hf have been calculated using the Interacting Boson Model and Semi Empirical Formula (SEF). The parameters of the best fit to the measured data are determined. The behavior of energy and B(E2) ratios in the ground state band are examined.
- IBM ,
- SEF ,
- energy level ,
- B(E2) value ,
- Hf isotopes

References

[1]	F. Iachello and A. Arima, The Interacting Boson Model, (Cambridge University Press, Cambridge) (1987)
[2]	F. Iachello, Phys. Rev. Lett., 87:052502 (2001)
[3]	F. Iachello, Phys. Rev. Lett., 85:3580 (2000)
[4]	P. Cejnar, J. Jolie and R. F. Casten, Rev. Mod. Phys., 82:2155 (2010)
[5]	R. F. Casten and E. A. McCutchan, Jou. Phys. G, 34:R285 (2007)
[6]	A. Bohr and B. R. Mottelson, Nuclear Structure, (Singapore:World Scientific) Vol. Ⅱ, p748 (1998)
[7]	K. S. Krane, Introductory Nuclear Physics (New York:John Wiley and Sons) (1987)
[8]	F. Iachello, Phys. Rev. Lett., 44:772 (1980)
[9]	I. Mamdouh and M. Al-Jubbori, Indian J. Phys., 89:1085 (2015)
[10]	S. N. Abood and M. A. Al-Jubbori, Commun. Theor. Phys., 60:335(2013)
[11]	E. H. Hagemann, Nucl. Phys. A, 161:449 (1971)
[12]	T. Morikawa et al, Phys. Lett. B, 350:169 (1995)
[13]	K. Nomura et al, Phys.Rev. C, 83:041302 (2011)
[14]	H. H. Kassim, A. A. Mohammed, F. I. Sharrad, I. Hossain, and K. S. Jassim, Iran. J. Sci. Tech. Tran. Sci., DOI 10.1007/s40995-016-0104-x
[15]	A. Arima and F. Iachello, Ann. Phys. N.Y., 111:201 (1978)
[16]	K. Abrahams, K. Allaart, and A. E. L. Dieperink, Nuclear Structure, Plenum press, New York and London (1981)
[17]	F. Iachello, Phys. Rev. Lett., 44:772 (1980)
[18]	R. F. Casten and D. D. Warner, Rev. Mod. Phys., 60:389 (1988)
[19]	M. A. Al-Jubbori, H. H. Kassim, F. I. Sharrad, and I. Hossain, Nucl. Phys. A, 955:101 (2016)
[20]	M. Baglin, Nuclear Data Sheets, 111:1807 (2002, 2010)
[21]	B. Singh, Nuclear Data Sheets, 75:199 (1995)
[22]	E. Browne and H. Junde, Nuclear Data Sheets, 87:15 (1999)
[23]	M. S. Basunia, Nuclear Data Sheets, 107:791 (2006)
[24]	E. Achterberg, O. A. Capurro, and G. V. Marti, Nuclear Data Sheets, 110:1473 (2009)
[25]	P. H. Regan et al, Phys. Rev. Lett., 90:152502 (2003)
[26]	D. Bonatsos and L. D. Skouras, Phys. Rev. C, 43:952R (1991)
[27]	A. M. Khalaf and A. M. Ismail, Prog. Phys., 2:98 (2013)
[28]	O. Scholten, Computer code PHINT, KVI; Groningen, Holland, (1980)
[29]	E. A. McCutchan and N. V. Zamfi, Phys. Rev. C, 71:054306 (2005)
[30]	H. H. Khudher, A. K. Hasan, and F. I. Sharrad, Mode. Appl. Scie., 10:181 (2016)
[31]	H. H. Kassim and F. I. Sharrad, Inter. J. of Mod. Phys. E, 23:1450070 (2014)
[32]	A. E. L. Dieperink, O. Scholten, and F. Iachello, Phys. Rev. Lett., 44:1747 (1980)

[1]	Da-Li Zhang , Cheng-Fu Mu . Description of the critical point symmetry in ¹²⁴Te by IBM-2. Chinese Physics C, 2019, 43(2): 024104. doi: 10.1088/1674-1137/43/2/024104
[2]	Da-Li Zhang , Cheng-Fu Mu . Shape coexistence close to N=50 in the neutron-rich isotope ⁸⁰Ge investigated by IBM-2. Chinese Physics C, 2018, 42(3): 034101. doi: 10.1088/1674-1137/42/3/034101
[3]	H. S. Vieira , J. P. Morais Graça , V. B. Bezerra . Scalar resonant frequencies and Hawking effect of an f(R) global monopole. Chinese Physics C, 2017, 41(9): 095102. doi: 10.1088/1674-1137/41/9/095102
[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]	ZHANG Da-Li , YUAN Shu-Qing , DING Bin-Gang . Description of the evolution of mixed-symmetry states in the N=78 isotonic chain with IBM2. Chinese Physics C, 2015, 39(7): 074102. doi: 10.1088/1674-1137/39/7/074102
[6]	Anwer A . Correspondence between phenomenological and IBM-1 models of even isotopes of Yb. Chinese Physics C, 2015, 39(8): 084101. doi: 10.1088/1674-1137/39/8/084101
[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]	QI Bin , MENG Jie , ZHANG Shuang-Quan , WANG Shou-Yu , PENG Jing . Chiral doublet bands and energy-level crossing. Chinese Physics C, 2009, 33(S1): 43-45. doi: 10.1088/1674-1137/33/S1/014
[9]	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
[10]	ZANG Jin-Fu , LÜ Li-Jun . Low-lying spectra and E2 transition rates in ^160-170Er isotopes in the interaction boson model. Chinese Physics C, 2009, 33(S1): 27-29. doi: 10.1088/1674-1137/33/S1/009
[11]	J.P.Draayer¹ , G.Popa² , J.G.Hirsch³ , C.E.Vargas³ , 4 . E2 & M1 Strengths in Deformed Nuclei:Application of the Pseudo-SU(3) Model. Chinese Physics C, 2004, 28(12): 1297-1301.
[12]	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.
[13]	Zhao Yumin , Gu Jinnan . Effective Boson Number in IBM-2 and its Application in Even-Even Nuclear Systematics Study. Chinese Physics C, 1995, 19(6): 548-553.
[14]	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.
[15]	DENG Wei-Zhen , YANG Ze-Sen . Intrinsic Condensate Method for Microsopic IBM2 and Calculation of ¹⁶⁸Er Spectrum. Chinese Physics C, 1992, 16(3): 272-277.
[16]	Li Xianyin , Zhao Xiaofeng . A Microscopic IBM-2 Description of the Phase Transitions of Nuclear Spectrum Structure Near A=130. Chinese Physics C, 1991, 15(S2): 183-188.
[17]	ZHAO Xiao-Feng , LI Xian-Yin . Microscopic IBM-2 Description of the Phase Transition of Nuclear Spectra Near A=130. Chinese Physics C, 1991, 15(3): 240-244.
[18]	XING Zheng , XIE Hong-Xing . PROPERTIES OF M1 AND E2 TRANSITIONS IN ODD-A RARE-EARTH NUCLEI. Chinese Physics C, 1989, 13(3): 269-277.
[19]	LING Yin-Sheng , GAO Shun-Fu . THE IBM EXPRESSIONS OF B(E2) FOR INTER REPRESENTATION TRASITIONS IN DEFORMED NUCLEI. Chinese Physics C, 1986, 10(5): 613-619.
[20]	WU Hua-Chuan . A STUDY OF E2 OPERATOR IN U(15) MODEL FOR DEFORMED NUCLEI. Chinese Physics C, 1985, 9(2): 229-235.

Access

Get Citation

Mushtaq Abed Al-Jubbori, Khalaf Ajaj Al-Mtiuty, Khaliel. I. Saeed and Fadhil I. Sharrad. Properties of even ^168-178Hf isotopes using IBM-1 and SEF[J]. Chinese Physics C, 2017, 41(8): 084103. doi: 10.1088/1674-1137/41/8/084103

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-03-26

Article Metric

Article Views(1496)
PDF Downloads(55)
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

Properties of even ^168-178Hf isotopes using IBM-1 and SEF

Corresponding author: Mushtaq Abed Al-Jubbori, phy8@yahoo.com

Corresponding author: Khalaf Ajaj Al-Mtiuty, phy8@yahoo.com

1. Department of Physics, College of Education for Pure Science, University of Mosul, 41001 Mosul, Iraq

2. Department of Physics, College of Education for Pure Science, University of Mosul, Iraq

3. Ministry of Education, 41001 Mosul, Iraq

4. Department of Physics, College of Science, Kerbala University, 56001 Karbala, Iraq

Received Date: 2017-03-26

Available Online: 2017-08-05

Abstract: The properties of the ground and excited-state (γ-and β-bands) of ^168-178Hf nuclei have been studied. The ratio r(I+2/I) and Eγ (I→ I-2)/I have been calculated as a function of the spin (I) to determine the ground-state evolution. The results indicate that these isotopes have a rotational property SU(3). The energy levels for the ground-state, γ-and β-bands of ^168-178Hf have been calculated using the Interacting Boson Model and Semi Empirical Formula (SEF). The parameters of the best fit to the measured data are determined. The behavior of energy and B(E2) ratios in the ground state band are examined.

HTML

Reference (32)

Properties of even ^168-178Hf isotopes using IBM-1 and SEF

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Properties of even ^168-178Hf isotopes using IBM-1 and SEF

Corresponding author: Mushtaq Abed Al-Jubbori, phy8@yahoo.com

Corresponding author: Khalaf Ajaj Al-Mtiuty, phy8@yahoo.com

HTML

目录

Properties of even 168-178Hf isotopes using IBM-1 and SEF

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Properties of even 168-178Hf isotopes using IBM-1 and SEF

Corresponding author: Mushtaq Abed Al-Jubbori, phy8@yahoo.com

Corresponding author: Khalaf Ajaj Al-Mtiuty, phy8@yahoo.com

HTML

目录

Properties of even ^168-178Hf isotopes using IBM-1 and SEF

Properties of even ^168-178Hf isotopes using IBM-1 and SEF