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]	G.R. Boroun . Non-linear corrections to the derivative of nuclear reduced cross-section at small x at a future electron-ion collider. Chinese Physics C, 2026, 50(2): 1-10.
[2]	. Correlation between Zero-Sound modes and nuclear equation of state stiffness detected by light vector boson. Chinese Physics C, 2026, 50(1): 014101. doi: 10.1088/1674-1137/adfa81
[3]	. Probing the cluster structure of ⁶Li with the ⁶Li + ¹²C nuclear reaction at 68 MeV. Chinese Physics C, 2026, 50(1): 014102. doi: 10.1088/1674-1137/ae072b
[4]	Wentao Zeng , Zehao Lin , Yiran Wang , Shuangquan Zhang , Jinniu Hu , Ying Zhang . Resonant states in the Schrödinger equation solved by the Green's function method. Chinese Physics C, 2026, 50(2): 1-10.
[5]	Renli Xu , Chen Wu , Jian Liu , Bin Hong , Jie Peng , Xiong Li , Ruxian Zhu , Zhizhen Zhao , Zhongzhou Ren . Ground-state properties of finite nuclei in relativistic Hartree-Bogoliubov theory with an improved quark mass density-dependent model. Chinese Physics C, 2026, 50(2): 1-12.
[6]	Y. P. Wang , Y. K. Wang , P. W. Zhao . Tilted-axis-cranking covariant density functional theory for the high-spin spectroscopy in ⁶⁹Ga. Chinese Physics C, 2026, 50(2): 1-5. doi: 10.1088/1674-1137/ae07b8
[7]	Xin Zhang , Yu Zhang , Xiaofeng Luo , Nu Xu . UrQMD Simulations of Higher-order Cumulants in Au+Au Collisions at High Baryon Density. Chinese Physics C, 2026, 50(2): 1-6. doi: 10.1088/1674-1137/ae0995
[8]	Qing Wu , Wei-Feng Li , Zhong-Ming Niu , Hao-Zhao Liang , Min Shi . Improvement of nuclear semi-empirical mass formula by including shell effect. Chinese Physics C, 2025, 49(11): 114103. doi: 10.1088/1674-1137/ade954
[9]	Jun Li , Xiao-Jun Bi , Lin-Qing Gao , Peng-Fei Yin . Exploring axion-like particle from observation of FSRQ Ton 599 by Fermi-LAT. Chinese Physics C, 2025, 49(10): 105107. doi: 10.1088/1674-1137/ade6d2
[10]	Shuang Qu , Jin-Yan Zhang , Man Bao . Nuclear mass predictions with a Bayesian neural network. Chinese Physics C, 2025, 49(10): 104106. doi: 10.1088/1674-1137/ade958
[11]	Ronghao Hu , Qike Gu , Kejian Shi , Zezhong Wei , Meng Lv , Shiyang Zou , Yongkun Ding . Polarized neutron beams from polarized deuterium-tritium fusion with applications to magnetic field imaging in high-energy-density plasmas. Chinese Physics C, 2025, 49(12): 124102. doi: 10.1088/1674-1137/adec4f
[12]	Peng Yin , Jianmin Dong , Wei Zuo . Effect of tensor correlations on the depletion of nuclear Fermi sea within the extended BHF approach. Chinese Physics C, 2017, 41(11): 114102. doi: 10.1088/1674-1137/41/11/114102
[13]	LIANG Jun , LIU Yan-Chun , ZHU Qiao . Thermodynamics of noncommutative geometry inspired black holes based on Maxwell-Boltzmann smeared mass distribution. Chinese Physics C, 2014, 38(2): 025101. doi: 10.1088/1674-1137/38/2/025101
[14]	M. Bashkanov (for the WASA-at-COSY collaboration) . ABC effect in double-pionic nuclear fusion and a pn resonance as its possible origin. Chinese Physics C, 2010, 34(9): 1339-1341. doi: 10.1088/1674-1137/34/9/037
[15]	YE Yan-Lin , ZHOU Xiao-Hong , LIU Wei-Ping , MA Yu-Gang , ZHANG Yu-Hu , XU Fu-Rong . Outline of the progress in the study of radioactive nuclear physics and super-heavy nuclei. Chinese Physics C, 2008, 32(S2): 1-7.
[16]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[17]	Yu Hong , Shen Qixing , Zhang Lin . Angular Distribution of Process e⁺e^－→τ⁺τ^－,τ^－→a₁υτ,a₁→ρπ and Characteristics of a₁ Meson. Chinese Physics C, 1994, 18(7): 583-590.
[18]	WU Zhong-Li . ANALYSIS OF THE MOMENTUM DISTRIBUTION WIDTH OF THE PREOJECTILE-LIKE-FRAGMENT FROM HEAVY ION COLLISIONS. Chinese Physics C, 1989, 13(8): 752-754.
[19]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.
[20]	WU SHI-SHU . ON NUCLEAR SINGLE-PARTICLE POTENTIALS（Ⅲ）SINGLEPARTICLE ENERGIES DETERMINED BY THE NONHERMITIAN POTENTIAL U_αβ=M_αβ（ε_β）. Chinese Physics C, 1979, 3(4): 469-483.

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(3028)
PDF Downloads(16)
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