Abstract
The Coulomb interaction for a spherical—deformed interacting pair is derived assuming realistic nuclear charge distributions. The effect of a finite diffuseness parameter is described either by the folding product of spherical or deformed sharp-surface distribution and a spherical short-range function or by using a Fermi two-parameter distribution function. The approximate solutions obtained using these categories of charge distributions are then compared to the numerical solution obtained within the framework of the double-folding model. We found that the finite surface diffuseness parameter affects slightly the inner region of the total Coulomb potential, while it produces large errors in calculating the Coulomb form factors used frequently in nuclear reactions and fusion numerical codes.
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References
G. R. Satchler and W. G. Love, Phys. Rep. 55, 183 (1979).
I. Bromley and D. Allan, Treatise on Heavy-Ion Science (Plenum, New York, 1984), Vol. 1.
G. R. Satchler, Direct Nuclear Reaction (Oxford Univ. Press, Oxford, 1983).
G. Palla, H. V. Geramb, and C. Pegal, Nucl. Phys. A 403, 134 (1983).
B. Sinha, Phys. Rev. C 11, 1546 (1975).
M. Rashdan, A. Faessler, N. Ohtsuka, et al., Z. Phys. A 330, 417 (1988).
Dao T. Khoa, G. R. Satchler, and W. von Oertzen, Phys. Rev. C 56, 954 (1997).
P. Möller and A. Iwamoto, Phys. Rev. C 61, 047602 (2000).
A. B. Balantekin and N. Takigawa, Rev. Mod. Phys. 70, 77 (1998).
K. Hagiono, N. Takigawa, M. Dasgupta, et al., Phys. Rev. C 55, 276 (1997).
K. Siwek-Wilczyńska and J. Wilczyński, Phys. Rev. C 64, 024611 (2001).
G. Giardina et al., Nucl. Phys. A 671, 165 (2000).
M. Ismail, W. M. Seif, and H. El-Gebaly, Phys. Lett. B 563, 53 (2003).
K. Hagino and N. Rowley, nucl-th/0411055.
G. Pollarolo and A. Winther, Phys. Rev. C 62, 054611 (2000).
N. Takigawa, T. Rumin, and N. Ihara, Phys. Rev. C 61, 044607 (2000).
H. Iwe, Z. Phys. A 304, 347 (1982).
M. Gyulassy and S. K. Kauffmann, Nucl. Phys. A 362, 503 (1981).
V. S Uma Maheswari, C. Fuchs, A. Faessler, et al., Nucl. Phys. A 628, 669 (1998).
H. Iwe and H. J. Wiebicke, Preprint No. E4-11967, JINR (Joint Institute for Nuclear Research, Dubna, 1978).
M. W. Kermode, M. M. Mustafa, and N. Rowley, J. Phys. G 16, L299 (1990).
D. Franey, Minnesota Report No. 154 (1973).
A. K. Jain, M. C. Gupta, and C. S. Shastry, Phys. Rev. C 12, 801 (1975).
P. Fröbrich and R. Lipperheide, Theory of Nuclear Physics (Oxford Sci. Publ., Oxford, 1996).
H. J. Krappe, Ann. Phys. (N.Y.) 99, 142 (1976).
F. Dickmann, Z. Phys. 203, 141 (1967).
L. W. Owen and G. R. Satchler, Nucl. Phys. 51, 155 (1964).
Qingfeng Li et al., Eur. Phys. J. A 24, 223 (2005).
M. J. Rhoades-Brown, V. E. Oberacker, M. Seiwert, and W. Greiner, Z. Phys. A 310, 287 (1983).
M. Ismail, M. Rashdan, A. Faessler, et al., Z. Phys. A 323, 339 (1986).
L. C. Chamon et al., Phys. Rev. C 70, 014604 (2004).
R. K. Gupta, M. Balasubramaniam, R. Kumar, et al., J. Phys. G 31, 631 (2005).
T. Rumin, K. Hagino, and N. Takigawa, Phys. Rev. C 61, 014605 (2000).
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Ismail, M., Seif, W.M., Abou-Shady, H. et al. Study of Coulomb interaction for two diffuse spherical-deformed nuclei. Phys. Atom. Nuclei 69, 1463–1471 (2006). https://doi.org/10.1134/S1063778806090055
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DOI: https://doi.org/10.1134/S1063778806090055