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

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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)

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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

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

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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.

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An analytical formula for fluctuations in nuclear charge density

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