Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional

Zhong Xu; Zhi-Pan Li

doi:10.1088/1674-1137/41/12/124107

Chinese Physics C> 2017, Vol. 41> Issue(12) : 124107 DOI: 10.1088/1674-1137/41/12/124107

Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional

Zhong Xu ,
Zhi-Pan Li ^,

1.
School of Physical Science and Technology, Southwest University, Chongqing 400715, China

Abstract
HTML
Reference
Related

PDF

Abstract：
Quadrupole and octupole deformation energy surfaces, low-energy excitation spectra, and electric transition rates in eight neutron-rich isotopic chains-Ra, Th, U, Pu, Cm, Cf, Fm, and No-are systematically analyzed using a quadrupole-octupole collective Hamiltonian model, with parameters determined by constrained reflection-asymmetric and axially-symmetric relativistic mean-field calculations based on the PC-PK1 energy density functional. The theoretical results of low-lying negative-parity bands, odd-even staggering, average octupole deformations <β₃>, and B(E3; 3₁^-→ 0₁⁺) show evidence of a shape transition from nearly spherical to stable octupole-deformed, and finally octupole-soft equilibrium shapes in the neutron-rich actinides. A microscopic mechanism for the onset of stable octupole deformation is also discussed in terms of the evolution of single-nucleon orbitals with deformation.
- ocutpole deformation ,
- negative-parity band ,
- relativistic energy density functional ,
- quadrupole-octupole collective Hamiltonian

References

[1]	P. A. Butler and W. Nazarewicz, Rev. Mod. Phys., 68:349(1996)
[2]	I. Ahmad and P. A. Butler, Annu. Rev. Nucl. Part. Sci., 43:71(1993)
[3]	P. A. Butler and L. Willmann, Nucl. Phys. News, 25:12(2015)
[4]	P. A. Butler, J. Phys. G, 43:073002(2016)
[5]	L. P. Gaffney et al, Nature, 497:199(2013)
[6]	B. Bucher et al, Phys. Rev. Lett., 116:112503(2016)
[7]	B. Bucher et al, Phys. Rev. Lett., 118:152504(2017)
[8]	P. Bonche, P.-H. Heenen, H. Flocard, and D. Vautherin, Phys. Lett. B, 175:387(1986)
[9]	P. Bonche, in The Variation of Nuclear Shapes, edited by J. D. Garrett (World Scientific, Singapore, 1988), p. 302
[10]	J. L. Egido and L. M. Robledo, Nucl. Phys. A, 524:65(1991)
[11]	K. Rutz, J. A. Maruhn, P. G. Reinhard, and W. Greiner, Nucl. Phys. A, 590:680(1995)
[12]	L. S. Geng, J. Meng, and H. Toki, Chin. Phys. Lett., 24:1865(2007)
[13]	J.-Y. Guo, P. Jiao, and X.-Z. Fang, Phys. Rev. C, 82:047301(2010)
[14]	L. M. Robledo, M. Baldo, P. Schuck, and X. Vias, Phys. Rev. C, 81:034315(2010)
[15]	L. M. Robledo and G. F. Bertsch, Phys. Rev. C, 84:054302(2011)
[16]	R. Rodrguez-Guzmn, L.M. Robledo, and P. Sarriguren, Phys. Rev. C, 86:034336(2012)
[17]	L. M. Robledo and P. A. Butler, Phys. Rev. C, 88:051302(2013)
[18]	L. M. Robledo, J. Phys. G, 42:055109(2015)
[19]	Rmi N. Bernard, Luis M. Robledo, and Toms R. Rodrguez, Phys. Rev. C, 93:061302(R) (2016)
[20]	J. Zhao, B.-N. Lu, E.-G. Zhao, and S.-G. Zhou, Phys. Rev. C, 86:057304(2012)
[21]	S.-G. Zhou, Phys. Scr., 91:063008(2016)
[22]	J. Zhao, B.-N. Lu, E.-G. Zhao, and S.-G. Zhou, Phys. Rev. C, 95:014320(2017)
[23]	K. Nomura, D. Vretenar, and B.-N.Lu, Phys. Rev. C, 88:021303(2013)
[24]	K. Nomura, D. Vretenar, T. Nikić and B.-N. Lu, Phys. Rev. C, 89:024312(2014)
[25]	K. Nomura, R. Rodrguez-Guzmn, and L. M. Robledo, Phys. Rev. C, 92:014312(2015)
[26]	S. E. Agbemava, A. V. Afanasjev, and P. Ring, Phys. Rev. C, 93:044304(2016)
[27]	S. E. Agbemava and A. V. Afanasjev, Phys. Rev. C, 96:024301(2017)
[28]	S. Ebata and T. Nakatsukasa, Phys. Scr., 92:064005(2017)
[29]	W. Zhang, Z.-P. Li, and S.-Q.Zhang, Chi. Ph. C, 34:1094(2010)
[30]	W. Zhang, Z. P. Li, S. Q. Zhang, and J. Meng, Phys. Rev. C, 81:034302(2010)
[31]	Z. P. Li, B. Y. Song, J. M. Yao, D. Vretenar, and J. Meng, Phys. Lett. B, 726:866(2013)
[32]	J. M. Yao, E. F. Zhou, and Z. P. Li, Phys. Rev. C, 92:041304(R) (2015)
[33]	Z. P. Li, T. Nikić and D. Vretenar, J. Phys. G, 43:024005(2016)
[34]	E. F. Zhou, J. M. Yao, Z. P. Li, J. Meng, and P. Ring, Phys. Lett. B, 753:227(2016)
[35]	S. Y. Xia, H. Tao, Y. Lu, Z. P. Li, T. Nikić and D. Vretenar, Phys. Rev. C, 96:054303(2017)
[36]	W. Nazarewicz, P. Olanders, I. Ragnarsson, J. Dudek, G. A. Leander, P. Moller, and E. Ruchowsa, Nucl. Phys. A, 429:269(1984)
[37]	P. Mller, R. Bengtsson, B. Carlsson, P. Olivius, T. Ichikawa, H. Sagawa, and A. Iwamoto, At. Data Nucl. Data Tables, 94:758(2008)
[38]	H.-L. Wang, J. Yang, M.-L. Liu, and F.-R. Xu, Phys. Rev. C, 92:024303(2015)
[39]	O. Scholten, F. Iachello, and A. Arima, Ann. Phys. (NY), 115:325(1978)
[40]	T. Otsuka and M. Sugita, Phys. Lett. B, 209:140(1988)
[41]	P. G. Bizzeti and A. M. Bizzeti-Sona, Phys. Rev. C, 70:064319(2004)
[42]	D. Bonatsos, D. Lenis, N. Minkov, D. Petrellis, and P. Yotov, Phys. Rev. C, 71 (2005) 064309.
[43]	P. G. Bizzeti and A. M. Bizzeti-Sona, Phys. Rev. C, 88:011305(R) (2013)
[44]	N. Minkov, S. Drenska, M. Strecker, W. Scheid, and H. Lenske, Phys. Rev. C, 85:034306(2012)
[45]	R. V. Jolos, P. von Brentano, and J. Jolie, Phys. Rev. C, 86:024319(2012)
[46]	Y.-J. Chen, Z.-C. Gao, Y.-S. Chen, and Y. Tu, Phys. Rev. C, 91:014317(2015)
[47]	M. Bender, P.-H. Heenen, and P.-G. Reinhard, Rev. Mod. Phys., 75:121(2003)
[48]	D. Vretenar, A. V. Afanasjev, G. A. Lalazissis, and P. Ring, Phys. Rep., 409:101(2005)
[49]	J. Meng, H. Toki, S. G. Zhou, S. Q. Zhang, W. H. Long, and L. S. Geng, Prog. Part. Nucl. Phys., 57:470(2006)
[50]	J. Stone and P.-G. Reinhard, Prog. Part. Nucl. Phys., 58:587(2007)
[51]	T. Nikić D. Vretenar, and P. Ring, Prog. Part. Nucl. Phys., 66:519(2011)
[52]	Relativistic Density Functional for Nuclear Structure, edited by J. Meng (World Scientic, Singapore, 2016)
[53]	J. Meng, J. Peng, S. Q. Zhang, and S.-G. Zhou, Phys. Rev. C, 73:037303(2006)
[54]	P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, Heidelberg, 1980)
[55]	J. M. Yao, K. Hagino, Z. P. Li, J. Meng, and P. Ring, Phys. Rev. C, 89:054306(2014)
[56]	P. W. Zhao, Z. P. Li, J. M. Yao, and J. Meng, Phys. Rev. C, 82:054319(2010)
[57]	Q. S. Zhang, Z. M. Niu, Z. P. Li, J. M. Yao, and J. Meng, Front. Phys., 9:529(2014)
[58]	K. Q. Lu, Z. X. Li, Z. P. Li, J. M. Yao, and J. Meng, Phys. Rev. C, 91:027304(2015)
[59]	S. Quan, Q. Chen, Z. P. Li, T. Nikić and D. Vretenar, Phys. Rev. C, 95:054321(2017)
[60]	D. R. Inglis, Phys. Rev., 103:1786(1956)
[61]	S. T. Belyaev, Nucl. Phys., 24:322(1961)
[62]	M. Girod and B. Grammaticos, Nucl. Phys. A, 330:40(1979)
[63]	M. Bender, K. Rutz, P.-G. Reinhard, and J. A. Maruhn, Eur. Phys. J. A, 8:59(2000)
[64]	T. Nikić D. Vretenar, and P. Ring, Comp. Phys. Comm., 185:1808(2014)
[65]	J. Xiang, Z. P. Li, J. M. Yao, W. H. Long, P. Ring, and J. Meng, Phys. Rev. C, 88:057301(2013)

[1]	. ³H and ³He nuclei production in a combined thermal and coalescence framework for heavy-ion collisions in the few-GeV energy regime. Chinese Physics C, 2026, 50(1): 014104. doi: 10.1088/1674-1137/ae099a
[2]	Lu Feng , Tao Han , Jing-Fei Zhang , Xin Zhang . Prospects for searching for sterile neutrinos in dynamical dark energy cosmologies using joint observations of gravitational waves and γ-ray bursts. Chinese Physics C, 2026, 50(1): 1-12. doi: 10.1088/1674-1137/ae0b43
[3]	Jialin He , Xinye Peng , Zhongbao Yin , Liang Zheng . Extracting the kinetic freeze-out properties of high energy pp collisions at the LHC with event shape classifiers. Chinese Physics C, 2026, 50(2): 1-16.
[4]	Xin Zhang , Yu Zhang , Xiaofeng Luo , Nu Xu . UrQMD Simulations of Higher-order Cumulants in Au+Au Collisions at High Baryon Density. Chinese Physics C, 2026, 50(2): 1-6. doi: 10.1088/1674-1137/ae0995
[5]	Hua Chen . Globally Stable Dark Energy in F(R) Gravity. Chinese Physics C, 2026, 50(2): 1-15.
[6]	M. Zubair , Hira Sohail , Saira Waheed , Amara Ilyas , Irfan Mahmood . Stellar Configurations in f(R, L_m, T) Gravity: Probing Anisotropy and Stability via Minimal Geometric Deformation. Chinese Physics C, 2026, 50(2): 1-21.
[7]	Renli Xu , Chen Wu , Jian Liu , Bin Hong , Jie Peng , Xiong Li , Ruxian Zhu , Zhizhen Zhao , Zhongzhou Ren . Ground-state properties of finite nuclei in relativistic Hartree-Bogoliubov theory with an improved quark mass density-dependent model. Chinese Physics C, 2026, 50(2): 1-12.
[8]	Y. P. Wang , Y. K. Wang , P. W. Zhao . Tilted-axis-cranking covariant density functional theory for the high-spin spectroscopy in ⁶⁹Ga. Chinese Physics C, 2026, 50(2): 1-5. doi: 10.1088/1674-1137/ae07b8
[9]	Hanmei Cao , Fanglei Zou , Xiaojun Sun , Jingshang Zhang . Effects of energy levels on the double-differential cross sections of outgoing charged particles for the n+¹⁹F reaction below 20 MeV. Chinese Physics C, 2025, 49(12): 124107. doi: 10.1088/1674-1137/adf49f
[10]	Hao-Qiao Li , Hai-Ning Yan , Jiayin Gu , Xiao-Ze Tan . Probing Z/W pole physics at high-energy muon colliders via vector-boson-fusion processes. Chinese Physics C, 2025, 49(10): 103102. doi: 10.1088/1674-1137/addfcd
[11]	Manpreet Kaur , Sushil Kumar , Sukhjeet Singh , A. K. Jain . Signature splitting in three-quasineutron rotational band 3/2[521]_ν$\otimes $1/2[660]_ν$\otimes $1/2[660]_νof ¹⁵⁵Dy. Chinese Physics C, 2025, 49(10): 104103. doi: 10.1088/1674-1137/ade95e
[12]	Wei-Xi Kong , Ben-Wei Zhang . Fox-Wolfram moment of jet production in relativistic heavy-ion collisions. Chinese Physics C, 2025, 49(9): 094101. doi: 10.1088/1674-1137/add5d8
[13]	Ronghao Hu , Qike Gu , Kejian Shi , Zezhong Wei , Meng Lv , Shiyang Zou , Yongkun Ding . Polarized neutron beams from polarized deuterium-tritium fusion with applications to magnetic field imaging in high-energy-density plasmas. Chinese Physics C, 2025, 49(12): 124102. doi: 10.1088/1674-1137/adec4f
[14]	Qu-Zhi Li , Zhiguang Xiao , Han-Qing Zheng . On the pole trajectory of the subthreshold negative parity nucleon with varying pion masses. Chinese Physics C, 2025, 49(12): 123103. doi: 10.1088/1674-1137/adfa02
[15]	HUANG Jiang , XIONG Yong-Qian , CHEN De-Zhi , LIU Kai-Feng , YANG Jun , LI Dong , YU Tiao-Qin , FAN Ming-Wu , YANG Bo . A permanent magnet electron beam spread system used fora low energy electron irradiation accelerator. Chinese Physics C, 2014, 38(10): 107008. doi: 10.1088/1674-1137/38/10/107008
[16]	SHEN Shui-Fa , YU Xiao-Han . Decay of ⁸³Sr and Discussion of Its Daughter's Band Structures. Chinese Physics C, 2004, 28(S1): 78-80.
[17]	HOU Ren-Chang , ZHAO Xuan . QUADRUPOLE-OCTUPOLE TWO-PHONON EXCITATIONS IN INELASTIC SCATTERING. Chinese Physics C, 1983, 7(2): 236-244.

Access

Get Citation

Zhong Xu and Zhi-Pan Li. Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional[J]. Chinese Physics C, 2017, 41(12): 124107. doi: 10.1088/1674-1137/41/12/124107

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-08-25

Fund

Supported by National Natural Science Foundation of China (11475140, 11575148)

Article Metric

Article Views(3081)
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

Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional

Corresponding author: Zhi-Pan Li,

HTML

目录