Statistical errors in Weizs&auml;cker-Skyrme mass model

Min Liu; Yu Gao; Ning Wang

doi:10.1088/1674-1137/41/11/114101

Chinese Physics C> 2017, Vol. 41> Issue(11) : 114101 DOI: 10.1088/1674-1137/41/11/114101

Statistical errors in Weizsäcker-Skyrme mass model

Min Liu ^1,2 ,
Yu Gao ^1,2 ,
Ning Wang ^1,2,,

1.
Department of Physics, Guangxi Normal University, Guilin 541004, China
2.
Guangxi Key Laboratory Breeding Base of Nuclear Physics and Technology, Guilin 541004, China

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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.
- nuclear mass model ,
- statistical error ,
- neutron-rich nuclei ,
- symmetry energy ,
- Weizsaecker-Skyrme

References

[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)

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[19]	Shuanquan Luo , Cheng-Shing Wang . Thomas-Fermi Statistical Model Theory for the Surface Energy of Hot Nuclei. Chinese Physics C, 1995, 19(S2): 199-205.
[20]	Zhang Li , Jin Genming , Zhao Jinhua , Yang Weifan , Yang Yongfeng , Zhao Zhizheng , Zheng Jiwen , Sun Xiurong , Wang Jicheng , Li Zongwei , Qin Zhi , Guo Guanghui . Identification of ²⁰⁸Hg. Chinese Physics C, 1994, 18(Z1): 1-8.

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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

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Received: 2017-06-21

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

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沈阳化工大学材料科学与工程学院沈阳 110142

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Statistical errors in Weizsäcker-Skyrme mass model

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