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《中国物理C》(英文)编辑部
2024年10月30日

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

  • 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.
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  • [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)
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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
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 shu
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Received: 2017-08-25
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    Supported by National Natural Science Foundation of China (11475140, 11575148)

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

    Corresponding author: Zhi-Pan Li,
  • 1. School of Physical Science and Technology, Southwest University, Chongqing 400715, China
Fund Project:  Supported by National Natural Science Foundation of China (11475140, 11575148)

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.

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