An analytical formula for fluctuations in nuclear charge density

A. R. Abdulghany

doi:10.1088/1674-1137/42/7/074101

Chinese Physics C> 2018, Vol. 42> Issue(7) : 074101 DOI: 10.1088/1674-1137/42/7/074101

An analytical formula for fluctuations in nuclear charge density

A. R. Abdulghany

1.
Physics Department, Faculty of Science, Cairo University, Giza, Egypt

Abstract
HTML
Reference
Related

PDF

Abstract：
The experimental charge densities of atomic nuclei show fluctuations in their distributions. This paper investigates the limits of accuracy of two-parameter Fermi and three-parameter Fermi distributions in describing the charge density. An improved analytical function for density distribution is proposed, which allows for density fluctuation. The experimental charge densities of ⁴⁰Ca, ⁶⁰Ni, ¹⁰⁰Mo, ¹⁵²Sm and ²⁰⁸Pb, representing the various shapes of density fluctuation, are used to assess the accuracy of the proposed formula. The proposed function reproduces the experimental charge densities with significant improvement in accuracy over other commonly used formulae. A compilation of charge density distribution parameters of 73 nuclei is presented based on the proposed formula.
- nuclear density ,
- density-fluctuation ,
- Fermi distribution function

References

[1]	R. Hofstadter, Rev. Mod. Phys., 28(3): 214-254 (1956)
[2]	C. W. Jager, H. De Vries, and C. De Vries, At. Data Nucl. Data Tables, 14(5-6): 479-508 (1974)
[3]	H. Vries, C. W. De Jager, and C. De Vries, At. Data Nucl. Data Tables, 36(3): 495-536 (1987)
[4]	G.Fricke et al, At. Data Nucl. Data Tables, 60(2): 177-285 (1995)
[5]	J. D. Patterson, and R. J. Peterson, Nucl. Phys. A, 717(3-4): 235-246 (2003)
[6]	L. L. Salcedo, E. Oset, M. J. Vicente-Vacas, and C. GarciaRecio, Nucl. Phys. A, 484(3-4): 557-592 (1988)
[7]	A. B. Jones, and B. A. Brown, Phys. Rev. C, 90(6): 067304 (2014)
[8]	J. Liu, C. Zhang, Z. Z. Ren, and C. Xu, Chin. Phys. C, 40(3):034101 (2016)
[9]	H. Geissel et al, Phys. rev. lett., 88(12): 122301 (2002)
[10]	R. K. Gupta, D. Singh, R. Kumar, and W. Greiner, J. Phys. G: Nucl. Part. Phys., 36(7): 075104(2009)
[11]	M. Ismail, A. Y. Ellithi, A. Adel,and H. Anwer, Int. J. Mod. Phys. E, 25(1): 1650004 (2016)
[12]	C. Wen, Y. P. Xu, D. Y. Pang, and Y. L. Ye, Chin. Phys. C, 41(5): 054104 (2017)
[13]	W. M. Seif, and A. Abdurrahman, Chin. Phys. C, 42(1):014106 (2018)
[14]	M. Ismail, A. Y. Ellithi, A. Adel, and A. R. Abdulghany, J. Phys. G: Nucl. Part. Phys., 42(7): 075108 (2015)
[15]	M. Ismail, A. Y. Ellithi, A. Adel, and A. R. Abdulghany, Nucl. Phys. A, 947: 64-75 (2016)
[16]	P. G. Reinhard, J. Friedrich, and N. Voegler, Zeitschrift fr Physik A Atoms and Nuclei, 316(2): 207-212 (1984)
[17]	J. Decharg, and D. Gogny, Phys. Rev. C, 21(4): 1568 (1980)
[18]	M. Bender, P. H. Heenen, and P. G. Reinhard, Rev. Mod. Phys., 75(1): 121-180 (2003)

[1]	A. R. Abdulghany . Investigation of neutron density distribution of ²⁰⁸Pb nucleus when the proton density is constrained to its experimental distribution. Chinese Physics C, 2020, 44(8): 084103. doi: 10.1088/1674-1137/44/8/084103
[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]	Yanyan Bu , Shu Lin . Holographic magnetized chiral density wave. Chinese Physics C, 2018, 42(11): 114104. doi: 10.1088/1674-1137/42/11/114104
[4]	W. M. Seif , A. S. Hashem . Constraints on the nuclear symmetry energy and its density slope from the α decay process. Chinese Physics C, 2018, 42(6): 064104. doi: 10.1088/1674-1137/42/6/064104
[5]	Zhong Xu , Zhi-Pan Li . Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional. Chinese Physics C, 2017, 41(12): 124107. doi: 10.1088/1674-1137/41/12/124107
[6]	Wei Zhang , Yi-Fei Niu . Shape evolution of ^{72, 74}Kr with temperature in covariant density functional theory. Chinese Physics C, 2017, 41(9): 094102. doi: 10.1088/1674-1137/41/9/094102
[7]	Gaoqing Cao , Lianyi He , Xu-Guang Huang . Quarksonic matter at high isospin density. Chinese Physics C, 2017, 41(5): 051001. doi: 10.1088/1674-1137/41/5/051001
[8]	Hao Liu , Lang Yu , Mei Huang . Survival of charged ρ condensation at high temperature and density. Chinese Physics C, 2016, 40(2): 023102. doi: 10.1088/1674-1137/40/2/023102
[9]	WANG Rui , CHEN Ying , GONG Ming , LIU Chuan , LIU Yu-Bin , LIU Zhao-Feng , MA Jian-Ping , MENG Xiang-Fei , ZHANG Jian-Bo . Phase transition in finite density and temperature lattice QCD. Chinese Physics C, 2015, 39(6): 063103. doi: 10.1088/1674-1137/39/6/063103
[10]	ZHAO Xian-Feng , JIA Huan-Yu . Transition density of the large mass hyperon star. Chinese Physics C, 2014, 38(1): 015101. doi: 10.1088/1674-1137/38/1/015101
[11]	JIANG Wei-Zhou . Rearrangement term with relativistic density-dependenthyperon potentials. Chinese Physics C, 2013, 37(6): 064101. doi: 10.1088/1674-1137/37/6/064101
[12]	LIU Jian , CHU Yan-Yun , REN Zhong-Zhou , WANG Zai-Jun . Theoretical study of the central depression of nuclear charge density distribution by electron scattering. Chinese Physics C, 2012, 36(1): 48-54. doi: 10.1088/1674-1137/36/1/008
[13]	SUN Ji-Lei , TANG Jing-Yu , JING Han-Tao . Courant-Snyder invariant density screening method for emittance analysis. Chinese Physics C, 2011, 35(11): 1059-1065. doi: 10.1088/1674-1137/35/11/015
[14]	Lü Hui-Yi , WANG Tie-Shan , HAN Yun-Cheng , FANG Kai-Hong , MENG Xuan , HE Qing-Hua , GUAN Xing-Cai , LAN Ming-Cong . Effect of deuteron density distribution on the deduction of screening potential from the D(d,p)T reaction in Be metals. Chinese Physics C, 2011, 35(1): 26-30. doi: 10.1088/1674-1137/35/1/006
[15]	ZHANG Ming , XIAO Zhi-Gang , ZHU Sheng-Jiang . Experiment of constraining symmetry energy at supra-saturation density with π^－/π⁺ at HIRFL-CSR. Chinese Physics C, 2010, 34(8): 1100-1103. doi: 10.1088/1674-1137/34/8/012
[16]	LIU Xiao-Jin , WU Chen , REN Zhong-Zhou . Effects of the density dependence of the symmetry energy on neutron stars. Chinese Physics C, 2010, 34(11): 1709-1713. doi: 10.1088/1674-1137/34/11/008
[17]	TIAN Kai , CAO Zhou , XUE Yu-Xiong , YANG Shi-Yu . Comparison study of the charge density distribution induced by heavy ions and pulsed lasers in silicon. Chinese Physics C, 2010, 34(1): 148-151. doi: 10.1088/1674-1137/34/1/028
[18]	CHEN Shuang , CHU Yan-Yun , REN Zhong-Zhou . Density-dependent potential for multi-neutron halo nuclei. Chinese Physics C, 2009, 33(8): 639-644. doi: 10.1088/1674-1137/33/8/008
[19]	Liu Yiming , Huo Lei , Jiang Yuzhen , Wang Shan , D. Keane , S. Y. Fung , S. Y. Chu . Source Density Distribution and Intensity Interferometry in High-energy Heavy-ion Collisions. Chinese Physics C, 1991, 15(S1): 33-41.
[20]	Wang Shan , Liu Yiming , Jiang Yuzhen , Chen Xiaofan , D. Keane , S. Y. Fung , S. Y. Chu . Azimuthal Correlation Function and the Nuclear Equation of State. Chinese Physics C, 1990, 14(S4): 361-366.

Access

Get Citation

A. R. Abdulghany. An analytical formula for fluctuations in nuclear charge density[J]. Chinese Physics C, 2018, 42(7): 074101. doi: 10.1088/1674-1137/42/7/074101

A. R. Abdulghany. An analytical formula for fluctuations in nuclear charge density[J]. Chinese Physics C, 2018, 42(7): 074101. doi: 10.1088/1674-1137/42/7/074101 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2018-02-20
Revised: 2018-04-12

Article Metric

Article Views(1777)
PDF Downloads(14)
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

An analytical formula for fluctuations in nuclear charge density

1. Physics Department, Faculty of Science, Cairo University, Giza, Egypt

Received Date: 2018-02-20

Accepted Date: 2018-04-12

Available Online: 2018-07-05

Abstract: The experimental charge densities of atomic nuclei show fluctuations in their distributions. This paper investigates the limits of accuracy of two-parameter Fermi and three-parameter Fermi distributions in describing the charge density. An improved analytical function for density distribution is proposed, which allows for density fluctuation. The experimental charge densities of ⁴⁰Ca, ⁶⁰Ni, ¹⁰⁰Mo, ¹⁵²Sm and ²⁰⁸Pb, representing the various shapes of density fluctuation, are used to assess the accuracy of the proposed formula. The proposed function reproduces the experimental charge densities with significant improvement in accuracy over other commonly used formulae. A compilation of charge density distribution parameters of 73 nuclei is presented based on the proposed formula.

HTML

Reference (18)

An analytical formula for fluctuations in nuclear charge density

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

An analytical formula for fluctuations in nuclear charge density

HTML

目录