Shape coexistence close to <em>N</em>=50 in the neutron-rich isotope <sup>80</sup>Ge investigated by IBM-2

Da-Li Zhang; Cheng-Fu Mu

doi:10.1088/1674-1137/42/3/034101

Chinese Physics C> 2018, Vol. 42> Issue(3) : 034101 DOI: 10.1088/1674-1137/42/3/034101

Shape coexistence close to N=50 in the neutron-rich isotope ⁸⁰Ge investigated by IBM-2

Da-Li Zhang ^, ,
Cheng-Fu Mu ^,

1.
Department of Physics, Huzhou University, Huzhou 313000, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The properties of the low-lying states, especially the relevant shape coexistence in ⁸⁰Ge, close to one of most neutron-rich doubly magic nuclei at N=50 and Z=28, have been investigated within the framework of the proton-neutron interacting model (IBM-2). Based on the fact that the relative energy of the d neutron boson is different from that of the proton boson, the calculated energy levels of low-lying states and E2 transition strengths can reproduce the experimental data very well. Particularly, the first excited state 0^+₂, which is intimately related to the shape coexistence phenomenon, is reproduced quite nicely. The ρ²(E2, 0₂⁺→0₁⁺) transition strength is also predicted. The experimental data and theoretical results indicate that both collective spherical and γ-soft vibration structures coexist in ⁸⁰Ge.
- 80Ge ,
- low-lying states ,
- E2 transition strengths ,
- shape coexistence ,
- IBM-2

References

[1]	A. Poves, J. Phys. G:Nucl. Part. Phys., 43:020401(2016)
[2]	K. Heyde and J. L. Wood, Rev. Mod. Phys., 83:1467(2011)
[3]	A. Gade and S. N. Liddick, J. Phys. G:Nucl. Part. Phys., 43:024001(2016)
[4]	F. Nowacki, A. Poves, E. Caurier, and B. Bounthong, Phys. Rev. Lett., 117:272501(2016)
[5]	A. N. Andreyev, Nature, 405:430(2000)
[6]	A. G\ddotorgen and W. Korten, J. Phys. G:Nucl. Part. Phys., 43:024002(2016)
[7]	Y. X. Liu, S. Y. Yu, and Y. Sun, Sci. China-Phys. Mech. Astron., 58:112003(2015)
[8]	G. X. Dong, X. B. Wang, and S. Y. Yu, Sci. China-Phys. Mech. Astron., 58:112004(2015)
[9]	Z. J. Bai, X. M. Fu, C. F. Jiao, and F. R. Xu, Chin. Phys. C, 39:094101(2015)
[10]	J. Sun, T. Komatsubara, J. Q. Wang, H. Guo, X. Y. Hu, Y. J. Ma, Y. Z. Liu, and K. Furuno, Chin. Phys. C, 40:124001(2016)
[11]	F. Iachello, N. V. Zamfir, and R. F. Casten, Phys. Rev. Lett., 81:1191(1998)
[12]	Y. X. Liu, L. Z. Mu, and H. Q. Wei, Phys. Lett. B, 633:49(2006)
[13]	M. Hasegawa, K. Kaneko, T. Mizusaki, and Y. Sun, Phys. Lett. B, 656:51(2007)
[14]	Y. Sun et al, Phys. Rev. C, 80:054306(2009)
[15]	Y. X. Liu, Y. Sun, X. H. Zhou, Y. H. Zhang, S. Y. Yu, Y. C. Yang, H. Jin, Nucl. Phys. A, 858:11(2011)
[16]	Z. Z. Ren, Phys. Rev. C, 65:051304(2002)
[17]	G. Hagen, G. R. Jansen, and T. Papenbrock, Phys. Rev. Lett., 117:172501(2016)
[18]	A. Gottardo et al, Phys. Rev. Lett., 116:182501(2016)
[19]	E. Padilla-Rodal et al, Phys. Rev. Lett., 94:122501(2005)
[20]	S. F. Shen, S. J. Zheng, F. R. Xu, and R. Wyss, Phys. Rev. C, 84:044315(2011)
[21]	D. L. Zhang and B. G. Ding, Chin. Phys. Lett., 30:122101(2013)
[22]	D. L. Zhang, and C. F. Mu, Sci. China-Phys. Mech. Astron., 61:012012(2018)
[23]	M. Lettmann et al, Phys. Rev. C, 96:011301(2017)
[24]	H. Iwasaki et al, Phys. Rev. C, 78:021304(2008)
[25]	S. Mukhopadhyay et al, Phys. Rev. C, 95:014327(2017)
[26]	L. Guo, J. A. Maruhn, and P. G. Reinhard, Phys. Rev. C, 76:034317(2007)
[27]	P. Sarriguren, Phys. Rev. C, 91:044304(2015)
[28]	T. Nikić, P. Marević, and D. Vretenar, Phys. Rev. C, 89:044325(2014)
[29]	G. H. Bhat, W. A. Dar, J. A. Sheikh, and Y. Sun, Phys. Rev. C, 89:014328(2014)
[30]	D. Verney et al, Phys. Rev. C, 87:054307(2013)
[31]	S. T. Hsieh, H. C. Chiang, and D. S. Chuu, Phys. Rev. C, 46:195(1992)
[32]	F. Iachello, and A. Arima The Interacting Boson Model (Cambridge, England:Cambridge University Press, 1987)
[33]	P. D. Duval, D. Goutte, and M. Vergnes, Phys. Lett. B, 124:297(1983)
[34]	J. P. Elliott, J. A. Evans, V. S. Lac, and G. L. Long, Nucl. Phys. A, 609:1(1996)
[35]	K. Nomura et al, Phys. Rev. C, 95:064310(2017)
[36]	D. L. Zhang and B. G. Ding, Sci. China-Phys. Mech. Astron., 57:447(2014)
[37]	D. L. Zhang and C. F. Mu, Chin. Phys. Lett., 33:102102(2016)
[38]	D. L. Zhang and C. F. Mu, Sci. China-Phys. Mech. Astron., 59:682012(2016)
[39]	P. Cejner, J, Jolie, and R. F. Casten, Rev. Mod. Phys., 82:2155(2010)
[40]	G. Grdal et al, Phys. Rev. C, 88:014301(2013)
[41]	H. Rotter et al, Nucl. Phys. A, 514:401(1990)
[42]	H. Dejbakhsh, D. Latypov, G. Ajupova, and S. Shlomo, Phys. Rev. C, 46:2326(1992)
[43]	K. Nomura, T. Otsuka, N. Shimizu, and L. Guo, Phys. Rev. C, 83:041302(2011)
[44]	K. Nomura, T. Otsuka, and P. V.Isacker, J. Phys. G:Nucl. Part. Phys., 43:024008(2016)
[45]	D. L. Zhang and C. F. Mu, Sci. China-Phys. Mech. Astron., 60:042011(2017)
[46]	T. Otsuka and N. Yoshida, Program NPBOS, JAER-M Report, No.85(unpublished):(1985)
[47]	R. F. Casten and D. D. Warner, Rev. Mod. Phys., 60:389(1988)
[48]	D. L. Zhang, S. Q. Yuan, and B. G. Ding, Chin. Phys. Lett., 32:062101(2015)
[49]	W. D. Hamilton, A. Irback, and J. P. Elliott, Phys. Rev. Lett., 53:2469(1984)
[50]	J. Stachel, P. Van Isacker, and K. Heyde, Phys. Rev. C, 25:650(1982)
[51]	P. F. Mantica and W. B. Walters, Phys. Rev. C, 53:R2586(1996)
[52]	E. Bouchez et al, Phys. Rev. Lett., 90:082502(2003)
[53]	B. A.Brown, A. B. Garnsworthy, T. Kib\acuteedi, and A. E. Stuchbery, Phys. Rev. C, 95:011301(2017)
[54]	B. R. Barrett and T. Otsuka, Phys. Rev. C, 46:1735(1992)
[55]	A. Leviatan and D. Shapira, Phys. Rev. C, 93:051302(2016)
[56]	J. L. Wood, E. E. Zganjar, C. E. Coster, and K. Heyde, Nucl. Phys. A, 651:323(1999)
[57]	K. Kaneko, Y. Sun, and R. Wadsworth, Phys. Scr. 92:114008(2017)
[58]	Y. Tsunoda et al, Phys. Rev. C, 89:031301(R) (2014)

[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]	Chen Liu , Shou-Yu Wang , Bin Qi , Hui Jia . Possible candidate nuclei for chirality-parity quartet bands. Chinese Physics C, 2018, 42(7): 074105. doi: 10.1088/1674-1137/42/7/074105
[3]	Hui Li , Zong-Xiu Wu , Chun-Sheng An , Hong Chen . Low-lying 1/2^- hidden strange pentaquark states in the constituent quark model. Chinese Physics C, 2017, 41(12): 124104. doi: 10.1088/1674-1137/41/12/124104
[4]	Ji Sun , Tetsuro Komatsubara , Jia-Qi Wang , Hao Guo , Xue-Yuan Hu , Ying-Jun Ma , Yun-Zuo Liu , Kohei Furuno . Evidence for coexisting prolate and near-oblate shapes at high spin in ¹²⁵Cs. Chinese Physics C, 2016, 40(12): 124001. doi: 10.1088/1674-1137/40/12/124001
[5]	BAI Zhi-Jun , FU Xi-Ming , JIAO Chang-Feng , XU Fu-Rong . Shape coexistence and evolution in neutron-deficient krypton isotopes. Chinese Physics C, 2015, 39(9): 094101. doi: 10.1088/1674-1137/39/9/094101
[6]	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
[7]	FU Zi-Wen . I=1/2 low-lying mesons in lattice QCD. Chinese Physics C, 2015, 39(8): 083101. doi: 10.1088/1674-1137/39/8/083101
[8]	Hewa Y , Abu KASSIM . Low-lying states of ¹⁸⁴W and ¹⁸⁴Os nuclei. Chinese Physics C, 2013, 37(3): 034101. doi: 10.1088/1674-1137/37/3/034101
[9]	Falih H. Al-Khudair . Low-lying states and isospin excitation in the Ge isotopes. Chinese Physics C, 2009, 33(7): 538-546. doi: 10.1088/1674-1137/33/7/007
[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]	ZHENG Shi-Jie , XU Fu-Rong . Shape coexistence of superheavy nuclei. Chinese Physics C, 2008, 32(S2): 152-154.
[12]	LIU Hong-Liang , XU Fu-Rong . Shape coexistence of high-spin isomeric states in proton-rich A~190 nuclei. Chinese Physics C, 2008, 32(S2): 131-133.
[13]	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.
[14]	Xing Zheng , Chen Xingqu , Xu Shuwei . Studies of the Low-Lying States in ^{157, 159}Tm. Chinese Physics C, 1996, 20(S1): 93-100.
[15]	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.
[16]	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.
[17]	ZHANG Jie , JIANG Da-Zhen , YANG Jin-Qing , ZHANG Ying-Ji , HE Jian-Hua , FU De-Ji , CHENG Xiao-Wu . Study of Low-Lying States in ^58,60,62,64Ni by (p,p′) Scattering at E_p=25.1MeV for 2+1 State and IBA Analysis for Spectra and B(E2) Ratios. Chinese Physics C, 1991, 15(9): 836-843.
[18]	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.
[19]	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.
[20]	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.

Access

Get Citation

Da-Li Zhang and Cheng-Fu Mu. Shape coexistence close to N=50 in the neutron-rich isotope ⁸⁰Ge investigated by IBM-2[J]. Chinese Physics C, 2018, 42(3): 034101. doi: 10.1088/1674-1137/42/3/034101

Da-Li Zhang and Cheng-Fu Mu. Shape coexistence close to N=50 in the neutron-rich isotope ⁸⁰Ge investigated by IBM-2[J]. Chinese Physics C, 2018, 42(3): 034101. doi: 10.1088/1674-1137/42/3/034101 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-10-23

Fund

Supported by National Natural Science Foundation of China (11475062, 11647306, 11147148)

Article Metric

Article Views(1555)
PDF Downloads(19)
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

Shape coexistence close to N=50 in the neutron-rich isotope ⁸⁰Ge investigated by IBM-2

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Shape coexistence close to N=50 in the neutron-rich isotope ⁸⁰Ge investigated by IBM-2

Corresponding author: Da-Li Zhang,

Corresponding author: Cheng-Fu Mu,

HTML

目录

Shape coexistence close to N=50 in the neutron-rich isotope 80Ge investigated by IBM-2

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Shape coexistence close to N=50 in the neutron-rich isotope 80Ge investigated by IBM-2

Corresponding author: Da-Li Zhang,

Corresponding author: Cheng-Fu Mu,

HTML

目录

Shape coexistence close to N=50 in the neutron-rich isotope ⁸⁰Ge investigated by IBM-2

Shape coexistence close to N=50 in the neutron-rich isotope ⁸⁰Ge investigated by IBM-2