Statistical errors in Weizsäcker-Skyrme mass model

  • The statistical uncertainties of 13 model parameters in the Weizsäcker-Skyrme (WS*) mass model are investigated for the first time with an efficient approach, and the propagated errors in the predicted masses are estimated. The discrepancies between the predicted masses and the experimental data, including the new data in AME2016, are almost all smaller than the model errors. For neutron-rich heavy nuclei, the model errors increase considerably, and go up to a few MeV when the nucleus approaches the neutron drip line. The most sensitive model parameter which causes the largest statistical error is analyzed for all bound nuclei. We find that the two coefficients of symmetry energy term significantly influence the mass predictions of extremely neutron-rich nuclei, and the deformation energy coefficients play a key role for well-deformed nuclei around the β-stability line.
      PCAS:
  • 加载中
  • [1] D. Lunney, J.M. Pearson, and C. Thibault, Rev. Mod. Phys., 75:1021(2003)
    [2] P. Mller, J. R. Nix, W. D. Myers, and W. J. Swiatecki, At. Data and Nucl. Data Tables, 59:185(1995)
    [3] S. Goriely, N. Chamel and J. M. Pearson, Phys. Rev. Lett., 102:152503(2009)
    [4] S. Goriely, N. Chamel, and J. M. Pearson, Phys. Rev. C, 88:061302(R) (2013)
    [5] P. W. Zhao, Z. P. Li, J. M. Yao, and J. Meng, Phys. Rev. C, 82:054319(2010)
    [6] L. S. Geng, H. Toki, and J. Meng, Prog. Theor. Phys., 113:785(2005)
    [7] J. Meng, J. Peng, S. Q. Zhang et al, Front. Phys., 8:55(2013)
    [8] H. Jiang, G. J. Fu, Y. M. Zhao, and A. Arima, Phys. Rev. C, 82:054317(2010)
    [9] J. Barea, A. Frank, J. G. Hirsch, P. Van Isacker, S. Pittel, and V. Velzquez, Phys. Rev. C, 77:041304(2008)
    [10] B. A. Brown, B. H. Wildenthal, Ann. Rev. Nucl. Part. Sci., 38:29(1988)
    [11] K. Kaneko, Y. Sun, T. Mizusaki, and S. Tazaki, Phys. Rev. Lett., 110:172505(2013)
    [12] J. Duflo and A. P. Zuker, Phys. Rev. C, 52:23(1995)
    [13] N. Wang, M. Liu, and X. Z. Wu, Phys. Rev. C, 81:044322(2010)
    [14] N. Wang, Z. Y. Liang, M. Liu, and X. Z. Wu, Phys. Rev. C, 82:044304(2010)
    [15] M. Liu, N. Wang, Y. G. Deng, and X. Z. Wu, Phys. Rev. C, 84:014333(2011)
    [16] N. Wang, M. Liu, X. Z. Wu, and J. Meng, Phys. Lett. B, 734:215(2014)
    [17] S. Cwiok, P. H. Heenen, and W. Nazarewicz, Nature, 433:705(2005)
    [18] A. Sobiczewski, K. Pomorski, Prog. Part. Nucl. Phys., 58:292(2007)
    [19] B. N. Lu, E. G. Zhao, and S. G. Zhou, Phys. Rev. C, 85:011301(R) (2012)
    [20] A. Sobiczewski, J. Phys. G:Nucl. Part. Phys., 43:095106(2016)
    [21] Yu. Ts. Oganessian, V. K. Utyonkov, Nucl. Phys. A, 944:62(2015)
    [22] Y. Z. Wang, S. J. Wang, Z. Y. Hou, and J. Z. Gu, Phys. Rev. C, 92:064301(2015)
    [23] B. A. Li, L. W. Chen, and C. M. Ko, Phys. Rep., 464:113(2008)
    [24] M. Liu, N. Wang, Z. X. Li, and F. S. Zhang, Phys. Rev. C, 82:064306(2010)
    [25] P. Danielewicz and J. Lee, Nucl. Phys. A, 922:1(2014)
    [26] H. Jiang, N. Wang, Lie-Wen Chen, Y. M. Zhao, and A. Arima, Phys. Rev. C, 91:054302(2015)
    [27] N. Wang, M. Liu, L. Ou, Y. X. Zhang, Phys. Lett. B, 751:553(2015)
    [28] P. Mller, W. D. Myers, H. Sagawa, and S. Yoshida, Phys. Rev. Lett., 108:052501(2012)
    [29] G. Audi, A. H. Wapstra, and C. Thibault, Nucl. Phys. A, 729:337(2003)
    [30] N. Wang, M. Liu, H. Jiang, J. L. Tian, and Y. M. Zhao, Phys. Rev., 91:044308(2015)
    [31] Y. Gao, J. Dobaczewski, M. Kortelainen, J. Toivanen, and D. Tarpanov, Phys. Rev. C, 87:034324(2013)
    [32] J. Erler and P. G. Reinhard, J. Phys. G:Nucl. Part. Phys., 42:034026(2015)
    [33] X. Roca-Maza, N. Paar, and G. Colm, J. Phys. G:Nucl. Part. Phys., 42:034033(2015)
    [34] C. Yuan, Phys. Rev. C, 93:034310(2016)
    [35] M. Kortelainen, J. Phys. G:Nucl. Part. Phys., 42:034021(2015)
    [36] N. Schunck, J. D. McDonnell, J. Sarich, S. M. Wild, and D. Higdon, J. Phys. G:Nucl. Part. Phys., 42:034024(2015)
    [37] T. Nikić, N. Paar, P.-G. Reinhard, and D. Vretenar, J. Phys. G:Nucl. Part. Phys., 42:034008(2015)
    [38] W. J. Huang, G. Audi, Meng Wang et al, Chin. Phys. C, 41:030002(2017)
  • 加载中

Get Citation
Min Liu, Yu Gao and Ning Wang. Statistical errors in Weizsäcker-Skyrme mass model[J]. Chinese Physics C, 2017, 41(11): 114101. doi: 10.1088/1674-1137/41/11/114101
Min Liu, Yu Gao and Ning Wang. Statistical errors in Weizsäcker-Skyrme mass model[J]. Chinese Physics C, 2017, 41(11): 114101.  doi: 10.1088/1674-1137/41/11/114101 shu
Milestone
Received: 2017-06-21
Fund

    Supported by National Natural Science Foundation of China (11422548, 11365005, 11365004) and Guangxi Natural Science Foundation (2015GXNSFDA139004)

Article Metric

Article Views(1316)
PDF Downloads(88)
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:

Statistical errors in Weizsäcker-Skyrme mass model

    Corresponding author: Ning Wang,
  • 1. Department of Physics, Guangxi Normal University, Guilin 541004, China
  • 2. Guangxi Key Laboratory Breeding Base of Nuclear Physics and Technology, Guilin 541004, China
Fund Project:  Supported by National Natural Science Foundation of China (11422548, 11365005, 11365004) and Guangxi Natural Science Foundation (2015GXNSFDA139004)

Abstract: The statistical uncertainties of 13 model parameters in the Weizsäcker-Skyrme (WS*) mass model are investigated for the first time with an efficient approach, and the propagated errors in the predicted masses are estimated. The discrepancies between the predicted masses and the experimental data, including the new data in AME2016, are almost all smaller than the model errors. For neutron-rich heavy nuclei, the model errors increase considerably, and go up to a few MeV when the nucleus approaches the neutron drip line. The most sensitive model parameter which causes the largest statistical error is analyzed for all bound nuclei. We find that the two coefficients of symmetry energy term significantly influence the mass predictions of extremely neutron-rich nuclei, and the deformation energy coefficients play a key role for well-deformed nuclei around the β-stability line.

    HTML

Reference (38)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return