Alternating Parity Band in Octupole-Soft $^{140}$Xe with Axial Vibrational-Rotational Model and Triaxial Rigid Rotor Model
Xiao Lu, Bin Qi** , Shou-Yu Wang
Shandong Provincial Key Laboratory of Optical Astronomy and Solar-Terrestrial Environment, School of Space Science and Physics, Institute of Space Sciences, Shandong University, Weihai 264209
Abstract :Energies of the yrast positive- and negative-parity excited states in $^{140}$Xe are reproduced by two different models considering quadrupole-octupole deformations, namely the axial vibrational-rotational model and the triaxial rigid rotor model, and compared with the stable octupole-deformed $^{222}$Th. The origin of the energy difference between the opposite parity sequences is considered from two different mechanisms, the vibration in axial deformed energy minima and the rotation considering the effective triaxial deformation. The success of reproducing the data in both the models implies that these two mechanisms are equivalent on some level for the octupole-soft nuclei. By investigating the probability distributions for projection of total angular momentum in the triaxial rigid rotor model, it is found that such an energy difference is associated with the difference of orientation of the rotational axis.
收稿日期: 2018-06-24
出版日期: 2018-09-15
[1] Bohr A and Mottelson B R 1975 Nuclear Structure Vol II (New York: Benjamin) [2] Frauendorf S and Meng J 1997 Nucl. Phys. A 617 131 [3] Frauendorf S 2001 Rev. Mod. Phys. 73 463 [4] Meng J, Peng J, Zhang S Q et al 2006 Phys. Rev. C 73 037303 [5] Butler P A and Nazarewicz W 1996 Rev. Mod. Phys. 68 349 [6] Bucher B, Zhu S, Wu C Y et al 2016 Phys. Rev. Lett. 116 112503 [7] Bucher B, Zhu S, Wu C Y et al 2017 Phys. Rev. Lett. 118 152504 [8] Gaffney L P, Butler P A, Scheck M et al 2013 Nature 497 199 [9] Zhu S J, Wang M G, Hamilton J H et al 1997 Chin. Phys. Lett. 14 569 [10] Zhu S J, Hamilton J H, Ramayya A V et al 1999 Phys. Rev. C 60 051304 [11] Rza̧ca-Urban T, Urban W, Pinston J A et al 2012 Phys. Rev. C 86 044324 [12] Zhu S J, Hamilton J H, Ramayya A V et al 1999 Phys. Rev. C 59 1316 [13] Venkova Ts, Porquet M G, Astier A et al 2005 Eur. Phys. J. A 26 315 [14] Chen Y J, Zhu S J, Hamilton J H et al 2006 Phys. Rev. C 73 054316 [15] Zhu S J, Sakhaee M, Hamilton J H et al 2012 Phys. Rev. C 85 014330 [16] Li H J, Zhu S J, Hamilton J H et al 2014 Phys. Rev. C 90 047303 [17] Urban W, Rza̧ca-Urban T, Schulz N et al 2003 Eur. Phys. J. A 16 303 [18] Urban W, Sieja K, Rza̧ca-Urban T et al 2016 Phys. Rev. C 93 034326 [19] Huang Y, Zhu S J, Hamilton J H et al 2016 Phys. Rev. C 93 064321 [20] Agbemava S E, Afanasjev A V and Ring P 2016 Phys. Rev. C 93 044304 [21] Bernard R N, Robledo L M and Rodríguez T R 2017 Acta Phys. Pol. B 48 249 [22] Buck B, Merchant A C and Perez S M 2008 J. Phys. G 35 085101 [23] Chen Y J, Gao Z C, Chen Y S et al 2015 Phys. Rev. C 91 014317 [24] Chen Y J, Chen Y S, Zhu S J et al 2005 Chin. Phys. Lett. 22 1362 [25] Fu Y, Wang H, Wang L J et al 2018 Phys. Rev. C 97 024338 [26] Frauendorf S 2008 Phys. Rev. C 77 021304(R) [27] Gao Z C, Chen Y S and Meng J 2004 Chin. Phys. Lett. 21 806 [28] Guo J Y, Jiao P and Fang X Z 2010 Phys. Rev. C 82 047301 [29] Geng L S, Meng J and Toki H 2007 Chin. Phys. Lett. 24 1865 [30] Jolos R V, von Brentano P and Jolie J 2012 Phys. Rev. C 86 024319 [31] Jachimowicz P, Kowal M and Skalski J 2017 Phys. Rev. C 95 034329 [32] Li Z P, Song B Y, Yao J M et al 2013 Phys. Lett. B 726 866 [33] Lu B N, Zhao J, Zhao E G et al 2014 Phys. Rev. C 89 014323 [34] Möller P, Bengtsson R, Carlsson B G et al 2008 At. Data Nucl. Data Tables 94 758 [35] Nomura K, Rodríguez-Guzmán R and Robledo L M 2015 Phys. Rev. C 92 014312 [36] Nerlo-Pomorska B, Pomorski K, Bartel J et al 2017 Eur. Phys. J. A 53 67 [37] Nomura K, Niks̆ić T and Vretenar D 2018 Phys. Rev. C 97 024317 [38] Ryssens W, Bender M and Heenen P H 2018 Acta Phys. Pol. B 49 339 [39] Robledo L M and Bertsch G F 2011 Phys. Rev. C 84 054302 [40] Robledo L M and Rodríguez-Guzmán R R 2012 J. Phys. G 39 105103 [41] Ryssens W, Hellemans V, Bender M et al 2015 Comput. Phys. Commun. 187 175 [42] Wang N, Meng J and Zhao E G 2010 Commun. Theor. Phys. 53 1145 [43] Xu Z and Li Z P 2017 Chin. Phys. C 41 124107 [44] Xia S Y, Tao H, Lu Y et al 2017 Phys. Rev. C 96 054303 [45] Yao J M, Zhou E F and Li Z P 2015 Phys. Rev. C 92 041304(R) [46] Zhou S G 2016 Phys. Scr. 91 063008 [47] Zhao J, Lu B N, Zhao E G et al 2017 Phys. Rev. C 95 014320 [48] Zhang W and Niu Y F 2017 Phys. Rev. C 96 054308 [49] Shneidman T M, Adamian G G, Antonenko N V et al 2003 Phys. Rev. C 67 014313 [50] Zhang W, Li Z P, Zhang S Q et al 2010 Phys. Rev. C 81 034302 [51] Zhao J, Lu B N, Zhao E G et al 2012 Phys. Rev. C 86 057304 [52] Nazarewicz W, Olanders P, Ragnarsson I et al 1984 Nucl. Phys. A 429 269 [53] Wang H L, Yang J, Liu M L et al 2015 Phys. Rev. C 92 024303 [54] Dudek J, Mazurek K and Nerlo-pomorska B 2004 Int. J. Mod. Phys. E 13 117 [55] Mazurek K and Dudek J 2005 AIP Conf. Proc. 802 153 [56] Minkov N, Yotov P, Drenska S et al 2006 J. Phys. G 32 497 [57] Minkov N, Yotov P, Drenska S et al 2006 Phys. Rev. C 73 044315 [58] Minkov N, Drenska S, Yotov P et al 2007 Phys. Rev. C 76 034324 [59] Minkov N, Drenska S, Strecker M et al 2012 Phys. Rev. C 85 034306 [60] Nadirbekov M S, Yuldasheva G A, Minkov N et al 2012 Int. J. Mod. Phys. E 21 1250044 [61] Dudek J, Goźdź A, Schunck N et al 2002 Phys. Rev. Lett. 88 252502 [62] Chen Y S, Sun Y and Gao Z C 2008 Phys. Rev. C 77 061305(R) [63] Nadirbekov M S, Minkov N, Strecker M et al 2016 Int. J. Mod. Phys. E 25 1650022 [64] Wu C S and Zeng J Y 1985 High Energy Phys. Nucl. Phys. 9 214 (in Chinese) [65] Smith J F, Cocks J F C, Schulz N et al 1995 Phys. Rev. Lett. 75 1050 [66] Cottle P D 1990 Phys. Rev. C 41 517 [67] Nazarewicz W and Olanders P 1985 Nucl. Phys. A 441 420 [68] Greiner W and Maruhn J A 1996 Nuclear Models (Berlin: Springer)
[1]
. [J]. 中国物理快报, 2020, 37(11): 112101-.
[2]
. [J]. 中国物理快报, 2018, 35(6): 62101-.
[3]
. [J]. 中国物理快报, 2016, 33(10): 102102-102102.
[4]
. [J]. 中国物理快报, 2016, 33(01): 12101-012101.
[5]
. [J]. 中国物理快报, 2015, 32(06): 62101-062101.
[6]
. [J]. 中国物理快报, 2014, 31(07): 72101-072101.
[7]
. [J]. 中国物理快报, 2014, 31(06): 62101-062101.
[8]
. [J]. 中国物理快报, 2013, 30(12): 122101-122101.
[9]
. [J]. 中国物理快报, 2013, 30(11): 112101-112101.
[10]
. [J]. 中国物理快报, 2013, 30(10): 102101-102101.
[11]
. [J]. 中国物理快报, 2012, 29(9): 92301-092301.
[12]
QI Bin, LI Jian, WANG Shou-Yu, ZHANG Jing, ZHANG Shuang-Quan. Transition from Electric Rotation to Chiral Mode in 135 Nd [J]. 中国物理快报, 2012, 29(7): 72101-072101.
[13]
MA Ke-Yan, LU Jing-Bin, YANG Dong, LI Jian, WANG Hui-Dong, LIU Yun-Zuo, WU Xiao-Guang, ZHU Li-Hua, ZHENG Yun, HE Chuang-Ye. High Spin States of 113 In [J]. 中国物理快报, 2012, 29(6): 62102-062102.
[14]
WANG Lie-Lin, LU Jing-Bin, YANG Dong, MA Ke-Yan, ZHOU Yin-Hang, YIN Li-Chang, WU Xiao-Guang, WEN Shu-Xian, LI Guang-Sheng, YANG Chun-Xiang. High-Spin Structure in Odd-Odd 160 Lu Nucleus [J]. 中国物理快报, 2012, 29(6): 62103-062103.
[15]
ZHAO Yue,KANG Xu-Zhong,SHEN Shui-Fa,**,YAN Yu-Peng,HE Chuang-Ye,YAN Shi-Wei. High-Spin States in Transuranium Nuclei 242,244 Pu [J]. 中国物理快报, 2012, 29(5): 52101-052101.