Influence of binding energies of electrons on nuclear mass predictions

Jing Tang; Zhong-Ming Niu; Jian-You Guo

doi:10.1088/1674-1137/40/7/074102

Chinese Physics C> 2016, Vol. 40> Issue(7) : 074102 DOI: 10.1088/1674-1137/40/7/074102

Influence of binding energies of electrons on nuclear mass predictions

1.
School of Physics and Material Science, Anhui University, Hefei 230601, China

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Abstract：
Nuclear mass contains a wealth of nuclear structure information, and has been widely employed to extract the nuclear effective interactions. The known nuclear mass is usually extracted from the experimental atomic mass by subtracting the masses of electrons and adding the binding energy of electrons in the atom. However, the binding energies of electrons are sometimes neglected in extracting the known nuclear masses. The influence of binding energies of electrons on nuclear mass predictions are carefully investigated in this work. If the binding energies of electrons are directly subtracted from the theoretical mass predictions, the rms deviations of nuclear mass predictions with respect to the known data are increased by about 200 keV for nuclei with Z, N≥8. Furthermore, by using the Coulomb energies between protons to absorb the binding energies of electrons, their influence on the rms deviations is significantly reduced to only about 10 keV for nuclei with Z, N≥8. However, the binding energies of electrons are still important for the heavy nuclei, about 150 keV for nuclei around Z=100 and up to about 500 keV for nuclei around Z=120. Therefore, it is necessary to consider the binding energies of electrons to reliably predict the masses of heavy nuclei at an accuracy of hundreds of keV.
- nuclear masses ,
- binding energies of electrons ,
- Coulomb energies

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[1]	D. Lunney, J. M. Pearson, and C. Thibault, Rev. Mod. Phys., 75:1021-1082(2003)
[2]	E. M. Burbidge, G. R. Burbidge, W. A. Fowler et al, Rev. Mod. Phys., 29:547-650(1957)
[3]	B. A. Brown, Phys. Rev. C, 58:220-231(1998)
[4]	S. Goriely, N. Chamel, and J. M. Pearson, Phys. Rev. Lett., 102:152503(2009)
[5]	X. Roca-Maza, G. Col, and H. Sagawa, Phys. Rev. C, 86:031306(2012)
[6]	J. Meng, H. Toki, S. G. Zhou et al, Prog. Part. Nucl. Phys., 57:470-563(2006)
[7]	P. W. Zhao, Z. P. Li, J. M. Yao et al, Phys. Rev. C, 82:054319(2010)
[8]	G. A. Lalazissis, T. Nikić, D. Vretenar et al, Phys. Rev. C, 71:024312(2005)
[9]	W. H. Long, N. Van Giai, and J. Meng, Phys. Lett. B, 640:150-154(2006)
[10]	M. Arnould, S. Goriely, and K. Takahashi, Phys. Rep., 450:97-213(2007)
[11]	B. H. Sun, F. Montes, L. S. Geng et al, Phys. Rev. C, 78:025806(2008)
[12]	Z. M. Niu, B. H. Sun, and J. Meng, Phys. Rev. C, 80:065806(2009)
[13]	Z. Li, Z. M. Niu, B. H. Sun et al, Acta. Phys. Sin., 61:072601(2012)
[14]	X. D. Xu, B. H. Sun, Z. M. Niu et al, Phys. Rev. C, 87:015805(2013)
[15]	B. H. Sun, Yu A. Litvinov, I. Tanihata et al, Front. Phys., 10:102102(2015)
[16]	M. Wang, G. Audi, A. H. Wapstra et al, Chin. Phys. C, 36:1603-2014(2012)
[17]	G. Audi, A. H. Wapstra, and C. Thibault, Nucl. Phys. A, 729:337-676(2003)
[18]	P. Mller, J. R. Nix, W. D. Myers et al, Atom. Data Nucl. Data Tables, 59:185-381(1995)
[19]	P. Mller, W. D. Myers, H. Sagawa et al, Phys. Rev. Lett., 108:052501(2012)
[20]	N. Wang, M. Liu, and X. Z. Wu, Phys. Rev. C, 81:044322(2010)
[21]	N. Wang, Z. Y. Liang, M. Liu et al, Phys. Rev. C, 82:044304(2010)
[22]	M. Liu, N. Wang, Y. G. Deng et al, Phys. Rev. C, 84:014333(2011)
[23]	N. Wang, M. Liu, X. Z. Wu et al, Phys. Lett. B, 734:215-219(2014)
[24]	S. Goriely and R. Capote, Phys. Rev. C, 89:054318(2014)
[25]	S. Goriely, N. Chamel, J. M. Pearson, Phys. Rev. C, 88:061302(R) (2013)
[26]	L. S. Geng, H. Toki, and J. Meng, Prog. Theor. Phys., 113:785-800(2005)
[27]	Y. Sugahara and H. Toki, Nucl. Phys. A, 579:557-572(1994)
[28]	Z. M. Niu, Z. L. Zhu, Y. F. Niu et al, Phys. Rev. C, 88:024325(2013)
[29]	J. S. Zheng, N. Y. Wang, Z. Y. Wang et al, Phys. Rev. C, 90:014303(2014)
[30]	X. M. Hua, T. H. Heng, Z. M. Niu et al, Sci. China Phys. Mech. Astron., 55:2414-2419(2012)
[31]	P. W. Zhao, L. S. Song, B. H. Sun et al, Phys. Rev. C, 86:064324(2012)
[32]	J. Meng, J. Peng, S. Q. Zhang et al, Front. Phys., 8:55-79(2013)
[33]	Q. S. Zhang, Z. M. Niu, Z. P. Li et al, Front. Phys., 9:529-536(2014)
[34]	Z. M. Niu, Y. F. Niu, Q. Liu et al, Phys. Rev. C, 87:051303(R) (2013)
[35]	Z. P. Li, C. Y. Li, J. Xiang et al, Phys. Lett. B, 717:470-473(2012)
[36]	J. M. Yao, H. Mei, and Z. P. Li, Phys. Lett. B, 723:459-463(2013)
[37]	Z. P. Li, B. Y. Song, J. M. Yao et al, Phys. Lett. B, 726:866-869(2013)
[38]	J. M. Yao, K. Hagino, Z. P. Li et al, Phys. Rev. C, 89:054306(2014)
[39]	X. Y. Wu, J. M. Yao, and Z. P. Li, Phys. Rev. C, 89:017304(2014)
[40]	Y. F. Niu, Z. M. Niu, N. Paar et al, Phys. Rev. C, 88:034308(2013)
[41]	J. Zhao, B. N. Lu, and E. G. Zhao, Phys. Rev. C, 86:057304(2012)
[42]	B. N. Lu, J. Zhao, E. G. Zhao et al, Phys. Rev. C, 89:014323(2014)
[43]	J. Zhao, B. N. Lu, D. Vretenar et al, Phys. Rev. C, 91:014321(2015)
[44]	T. K. Dong and Z. Z. Ren, Phys. Rev. C, 82:034320(2010)
[45]	N. Wan, C. Xu, and Z. Z. Ren, Phys. Rev. C, 92:024301(2015)
[46]	A. Ya. Dzyublik, Phys. Rev. C, 90:054619(2014)
[47]	F. F. Karpeshin, Phys. Rev. C, 87:054319(2013)
[48]	J. Duflo and A. P. Zuker, Phys. Rev. C, 52:R23-R27(1995)

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Jing Tang, Zhong-Ming Niu and Jian-You Guo. Influence of binding energies of electrons on nuclear mass predictions[J]. Chinese Physics C, 2016, 40(7): 074102. doi: 10.1088/1674-1137/40/7/074102

Jing Tang, Zhong-Ming Niu and Jian-You Guo. Influence of binding energies of electrons on nuclear mass predictions[J]. Chinese Physics C, 2016, 40(7): 074102. doi: 10.1088/1674-1137/40/7/074102 shu

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Received: 2015-12-23
Revised: 2016-02-16

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Supported by National Natural Science Foundation of China (11205004)

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沈阳化工大学材料科学与工程学院沈阳 110142

Influence of binding energies of electrons on nuclear mass predictions

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Influence of binding energies of electrons on nuclear mass predictions

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