Analytical description of shape transition in nuclearalternating parity bands

  • The angular momentum dependencies of parity splitting and electric dipole transitions in the alternating parity bands of heavy nuclei have been analyzed. It is shown that these dependencies can be treated in a universal manner with a single critical angular momentum parameter, which characterizes phase transition from octupole vibrations to the stable octupole deformation. Using the simple but useful model of axially-symmetric reflection-asymmetric mode, the analytical expressions for parity splitting and electric dipole transitional moment have been obtained. The findings are in good agreement with the experimental data for various isotopes of Ra, Th, U, and Pu.
      PCAS:
  • 加载中
  • [1] P. Cejnar, J. Jolie, and R. F. Casten, Rev. Mod. Phys., 82:2155(2010)
    [2] R. V. Jolos, P. von Brentano, and J. Jolie, Phys. Rev. C, 86:024319(2012)
    [3] F. Iachello, at 8th Workshop on QPT in nuclei and other many-body systems, Praha, Czech Republic, June 6, 2016
    [4] P. Butler and W. Nazarewicz, Rev. Mod. Phys., 68:349(1996)
    [5] F. Asaro, F. S. Stephens, Jr., and I. Perlman, Phys. Rev., 92:1495(1953)
    [6] F. S. Stephens, Jr., F. Asaro, and I. Perlman, Phys. Rev., 100:1543(1955)
    [7] I. Ahmad and P. A. Butler, Annu. Rev. Nucl. Part. Sci., 43:71(1993)
    [8] L. P. Gaffney et al, Nature (London), 497:199(2013)
    [9] M. Spieker et al, Phys. Rev. C, 88:041303(R) (2013)
    [10] M. Spieker et al, Phys. Rev. C, 97:064319(2018)
    [11] X. C. Chen et al, Phys. Rev. C, 94:021301(R) (2016)
    [12] B. Bucher et al, Phys. Rev. Lett., 116:112503(2016)
    [13] R. V. Jolos and P. von Brentano, Phys. Rev. C, 49:R2301(R) (1994)
    [14] W. Nazarewicz et al, Nucl. Phys. A, 429:269(1984)
    [15] P. Mller et al, At. Data Nucl. Data Tables, 94:758(2008)
    [16] J. Egido and L. Robledo, Nucl. Phys. A, 494:85(1989)
    [17] K. Rutz, J. A. Maruhn, P.-G. Reinhard, and W. Greiner, Nucl. Phys. A, 590:680(1995)
    [18] L. M. Robledo and G. F. Bertsch, Phys. Rev. C, 84:054302(2011)
    [19] B. N. Lu, J. Zhao, E. G. Zhao, and S. G. Zhou, Phys. Rev. C, 89:014323(2014)
    [20] S. G. Zhou, Phys. Scr., 91:063008(2016)
    [21] J. Zhao, B. N. Lu, E. G. Zhao, and S. G. Zhou, Phys. Rev. C, 86:057304(2012)
    [22] G. A. Leander and Y. S. Chen, Phys. Rev. C, 37:2744(2003)
    [23] R. G. Nazmitdinov, I. N. Mikhailov, and Ch. Briancon, Phys. Lett. B, 188:171(1987)
    [24] N. Minkov, S. Drenska, K. Drumev, M. Strecker, H. Lenske, and W. Scheid, Phys. Rev. C, 88:064310(2013)
    [25] T. M. Shneidman, G. G. Adamian, N. V. Antonenko, R. V. Jolos, and W. Scheid, Phys. Rev. C, 67:014313(2003)
    [26] B. Buck, A. C.Merchant, and S. M. Perez, Phys. Rev. C, 59:750(1999)
    [27] F. Iachello and A. D. Jackson, Phys. Lett. B, 108:151(1982)
    [28] D. Kusnezov and F. Iachello, Phys. Lett. B, 209:420(1988)
    [29] T. M. Shneidman, G. G. Adamian, N. V. Antonenko, R. V. Jolos, and S.-G. Zhou, J. Phys.:Conf. Ser., 569:012056(2014)
    [30] R. N. Bernard, L. M. Robledo, and T. R. Rodriguez, Phys. Rev. C, 93:061392(R) (2016)
    [31] J. M. Yao, E. F. Zhou, and Z. P. Li, Phys. Rev. C, 92:041304(2015)
    [32] H. L. Wang, H. L. Liu, and F. R. Xu, Phys. Scr., 86:035201(2012)
    [33] H. L. Wang, H. L. Liu, and C. F. Jiao, Chin. Sci. Bull, 57:1761(2012)
    [34] R. V. Jolos and P. von Brentano, Phys. Rev. C, 84:024312(2011)
    [35] R. V. Jolos, N. Minkov, and W. Scheid, Phys. Rev. C, 72:064312(2005)
    [36] Eugen Merzbacher, Quantum Mechanics, 1970
    [37] V. M. Strutinsky, J. Nucl. Energy, 4:523(1957)
    [38] T. M. Shneidman, G. G. Adamian, N. V. Antonenko, R. V. Jolos, and S. -G. Zhou, Phys. Rev. C, 92:034302(2015)
    [39] R. V. Jolos and P. von Brentano, Nucl. Phys. A, 587:377(1995)
    [40] R. V. Jolos and P. von Brentano, Phys. Rev. C, 92:044318(2015)
    [41] S. Zhu et al, Phys. Rev. C, 81:041306(R) (2018)
    [42] I. Wiedenhver, R. V. F. Janssens, G. Hackman et al, Phys. Rev. Lett., 83:2143(1999)
    [43] H. J. Wollersheim, et al, Nucl. Phys. A, 556:261(1993)
  • 加载中

Get Citation
E. V. Mardyban, T. M. Shneidman, E. A. Kolganova, R. V. Jolos and S. -G. Zhou. Analytical description of shape transition in nuclearalternating parity bands[J]. Chinese Physics C, 2018, 42(12): 124104. doi: 10.1088/1674-1137/42/12/124104
E. V. Mardyban, T. M. Shneidman, E. A. Kolganova, R. V. Jolos and S. -G. Zhou. Analytical description of shape transition in nuclearalternating parity bands[J]. Chinese Physics C, 2018, 42(12): 124104.  doi: 10.1088/1674-1137/42/12/124104 shu
Milestone
Received: 2018-05-10
Revised: 2018-08-28
Fund

    Supported by the RFBR (Moscow) (16-02-00068A) and the Russian Government Subsidy Program of the Competitive Growth of Kazan Federal University. S.G.Z. was partly supported by the National Key RD Program of China (2018YFA0404402), the NSF of China (11525524, 11621131001, 11647601, 11747601, 11711540016), the CAS Key Research Program of Frontier Sciences (QYZDB-SSWSYS013), the IAEA CRP F41033, the HPC Cluster of KLTP/ITP-CAS, and the Supercomputing Center, CNIC of CAS

Article Metric

Article Views(1593)
PDF Downloads(29)
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

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Analytical description of shape transition in nuclearalternating parity bands

    Corresponding author: E. V. Mardyban,
    Corresponding author: T. M. Shneidman,
  • 1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia
  • 2. Dubna State University, Dubna 141980, Russia
  • 3. Kazan Federal University, Kazan 420008, Russia
  • 4. CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 5. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • 6. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China
  • 7. Synergetic Innovation Center for Quantum Effects and Application, Hunan Normal University, Changsha 410081, China
Fund Project:  Supported by the RFBR (Moscow) (16-02-00068A) and the Russian Government Subsidy Program of the Competitive Growth of Kazan Federal University. S.G.Z. was partly supported by the National Key RD Program of China (2018YFA0404402), the NSF of China (11525524, 11621131001, 11647601, 11747601, 11711540016), the CAS Key Research Program of Frontier Sciences (QYZDB-SSWSYS013), the IAEA CRP F41033, the HPC Cluster of KLTP/ITP-CAS, and the Supercomputing Center, CNIC of CAS

Abstract: The angular momentum dependencies of parity splitting and electric dipole transitions in the alternating parity bands of heavy nuclei have been analyzed. It is shown that these dependencies can be treated in a universal manner with a single critical angular momentum parameter, which characterizes phase transition from octupole vibrations to the stable octupole deformation. Using the simple but useful model of axially-symmetric reflection-asymmetric mode, the analytical expressions for parity splitting and electric dipole transitional moment have been obtained. The findings are in good agreement with the experimental data for various isotopes of Ra, Th, U, and Pu.

    HTML

Reference (43)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return