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

Abstract
HTML
Reference
Related

PDF

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

References

[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)

[1]	Ya-Fei Guo , Peng-Hui Chen , Fei Niu , Zhao-Qing Feng . Isospin effect in peripheral heavy-ion collisions at Fermi energies. Chinese Physics C, 2018, 42(12): 124106. doi: 10.1088/1674-1137/42/12/124106
[2]	Zhi-Wei Zuo , Jun-Chen Pei , Xue-Yu Xiong , Yi Zhu . Global analysis of Skyrme forces with higher-order density dependencies. Chinese Physics C, 2018, 42(6): 064106. doi: 10.1088/1674-1137/42/6/064106
[3]	Sergey Dubovichenko , Nassurlla Burtebayev , Albert Dzhazairov-Kakhramanov , Denis Zazulin , Zhambul Kerimkulov , Marzhan Nassurlla , Chingis Omarov , Alesya Tkachenko , Tatyana Shmygaleva , Stanislaw Kliczewski , Turlan Sadykov . New measurements and phase shift analysis of p¹⁶O elastic scattering at astrophysical energies. Chinese Physics C, 2017, 41(1): 014001. doi: 10.1088/1674-1137/41/1/014001
[4]	Ming Xiao , Jie Gao , Dou Wang , Feng Su , Yi-Wei Wang , Sha Bai , Tian-Jian Bian . Study of CEPC performance with different collision energies and geometric layouts. Chinese Physics C, 2016, 40(8): 087001. doi: 10.1088/1674-1137/40/8/087001
[5]	Nan-Ru Ma , Cheng-Jian Lin , Jian-Song Wang , Lei Yang , Dong-Xi Wang , Lei Zheng , Shi-Wei Xu , Li-Jie Sun , Hui-Ming Jia , Jun-Bing Ma , Peng Ma , Shi-Lun Jin , Zhen Bai , Yan-Yun Yang , Xin-Xing Xu , Gao-Long Zhang , Feng Yang , Jian-Jun He , Huan-Qiao Zhang , Zu-Hua Liu . A multilayer ΔE-E_R telescope for breakup reactions at energies around the Coulomb barrier. Chinese Physics C, 2016, 40(11): 116004. doi: 10.1088/1674-1137/40/11/116004
[6]	H. Sadeghi , R. Ghasemi , H. Khalili . Astrophysical S-factor of the ¹²C(α,γ) ¹⁶O reaction at solar energies. Chinese Physics C, 2014, 38(8): 084101. doi: 10.1088/1674-1137/38/8/084101
[7]	ZHANG Zheng-Qiao , ZHANG Song , MA Yu-Gang . Simulation of energy scan of pion interferometry in central Au+Au collisions at relativistic energies. Chinese Physics C, 2014, 38(1): 014102. doi: 10.1088/1674-1137/38/1/014102
[8]	XIAO Hong , CHEN Guo-Ming , TAO Jun-Quan , BIAN Jian-Guo , FAN Jia-Wei , LIANG Song , MENG Xiang-Wei , SHEN Yu-Qiao , TANG Zhi-Cheng , WANG Jian , WANG Xian-You , WANG Zheng , XU Ming , XU Wei-Wei , YANG Min , YAN Qi . Discrimination of converted photons and neutral pions at high energies. Chinese Physics C, 2012, 36(10): 979-984. doi: 10.1088/1674-1137/36/10/011
[9]	XIE Wen-Jie , YANG De , WANG Cui-Ping , WANG Zhi-Gang . Transverse mass distributions in central heavy-ion collisions at high energies. Chinese Physics C, 2011, 35(4): 355-362. doi: 10.1088/1674-1137/35/4/007
[10]	K. I. Beloborodov , A. V. Berdyugin , A. A. Botov , V. B. Golubev , T. V. Dimova , V. P. Druzhinin , A. G. Kharlamov , D. P. Kovrizhin , I. A. Koop , A. A. Korol , S. V. Koshuba , A. E. Obrazovsky , E. V. Pakhtusova , D. A. Shtol , S. I. Serednyakov , Z. K. Silagadze , A. N. Skrinsky , Yu. A. Tikhonov , Yu. M. Shatunov , A. V. Vasil'ev . Study of the process e⁺e^－→π⁺π^－π⁰π⁰ at energies √s<1 GeV. Chinese Physics C, 2010, 34(6): 680-685. doi: 10.1088/1674-1137/34/6/012
[11]	SUN Zhu . Unified description of angular distributions of target particles in light and heavy ion induced interactions in nuclear emulsions at high energies. Chinese Physics C, 2009, 33(4): 256-262. doi: 10.1088/1674-1137/33/4/004
[12]	YAO Hai-Bo , WU Shi-Shu . Study of various charged ρ-meson masses in asymmetric nuclear matter. Chinese Physics C, 2009, 33(10): 842-847. doi: 10.1088/1674-1137/33/10/005
[13]	PENG Jin-Song , LI Lu-Lu , ZHOU Shan-Gui , ZHAO En-Guang . α decay energies and half-lives from a macroscopic-microscopic model. Chinese Physics C, 2008, 32(8): 634-638. doi: 10.1088/1674-1137/32/8/009
[14]	CHEN Miao-Xin , LI Zheng . Twin image removal in X-ray fluorescence holography with two energies. Chinese Physics C, 2008, 32(12): 1016-1020. doi: 10.1088/1674-1137/32/12/015
[15]	LI Xi-Guo , LI Yong-Qing . Study on effective masses of meson in dense nuclear matter. Chinese Physics C, 2008, 32(S2): 32-33.
[16]	ZHU Jian-Yu , XU Fu-Rong . Coulomb Displacement Energies and Shell Closure. Chinese Physics C, 2006, 30(S2): 84-86.
[17]	Li Yangguo . Anti-proton-Nucleus Inelastic Scatterings at Intermediate Energies. Chinese Physics C, 1994, 18(S2): 193-200.
[18]	Li Yangguo . Antiproton-Nucleus Elastic Scatting at Intermediate Energies. Chinese Physics C, 1993, 17(S2): 199-205.
[19]	Dou Zhiguo , Jing Xiaogong , Zhao Guoquan . Single-Particle and Single Hole Energies in the ⁴⁰Ca Region. Chinese Physics C, 1991, 15(S1): 85-92.
[20]	Ma Boqiang , Sun Ji . Different Treatments of Nuclear Binding Effect in Deep Inelastic Lepton Nucleus Scattering. Chinese Physics C, 1988, 12(S4): 337-346.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Fund

Supported by National Natural Science Foundation of China (11205004)

Article Metric

Article Views(1717)
PDF Downloads(261)
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

Influence of binding energies of electrons on nuclear mass predictions

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Influence of binding energies of electrons on nuclear mass predictions

Corresponding author: Zhong-Ming Niu,

HTML

目录