NUCLEAR PHYSICS |
|
|
|
|
The Analysis of the Fusion Reaction of Two Colliding Nuclei Using the FCC Lattice Model |
M. Golshanian1, O. N. Ghodsi1, R. Gharaei1**, V. Zanganeh2 |
1Department of Physics, Sciences Faculty, University of Mazandaran, P. O. Box 47415-416, Babolsar, Iran 2Department of Physics, Sciences Faculty, Golestan University, P. O. Box 49138-15759, Gorgan, Iran
|
|
Cite this article: |
M. Golshanian, O. N. Ghodsi, R. Gharaei et al 2013 Chin. Phys. Lett. 30 102502 |
|
|
Abstract The complete fusion channel of two approaching nuclei, including the interaction potential and fusion cross section, is systematically analyzed using the face-center-cubic (FCC) approach. For this purpose, we assume that the initial distribution of the nucleons in target and projectile nuclei is formed based on the FCC lattice model. Moreover, the density-dependent nucleon-nucleon interaction (CDM3Y6) is employed to parameterize the nuclear interactions between the participant nuclei. The obtained results for 45 fusion reactions reveal that the FCC+CDM3Y6 model is able to reproduce the corresponding experimental data of the barrier heights and positions within ±10%, on average. The analytical calculations of the fusion cross section are performed by employing the coupled-channel approach which includes couplings to the low-lying2+ and 3? states in target and projectile nuclei. It is shown that the theoretical values of the fusion excitation functions based on the selected microscopic framework are consistent with the experimental data.
|
|
Received: 13 June 2013
Published: 21 November 2013
|
|
PACS: |
25.70.Jj
|
(Fusion and fusion-fission reactions)
|
|
21.60.-n
|
(Nuclear structure models and methods)
|
|
25.60.Pj
|
(Fusion reactions)
|
|
|
|
|
[1] Newton J O, Butt R D, Dasgupta M, Hinde D J et al 2004 Phys. Rev. C 70 024605 [2] Hagino K, Lwin N W and Yamagami M 2006 Phys. Rev. C 74 017310 [3] Misicu S and Esbensen H 2007 Phys. Rev. C 75 034606 [4] Ghodsi O N and Zanganeh V 2010 Nucl. Phys. A 846 40 [5] Dutt I and Puri R K 2010 Phys. Rev. C 81 047601 2010 Phys. Rev. C 81 064609 [6] Kumar R 2011 Phys. Rev. C 84 044613 [7] Ghodsi O N and Gharaei R and Lari F 2012 Phys. Rev. C 86 024615 [8] Shen Q, Han Y and Guo H 2009 Phys. Rev. C 80 024604 [9] Ghodsi O N and Gharaei R 2012 Phys. Rev. C 85 064620 [10] Esbensen H 2010 Phys. Rev. C 81 034606 [11] Sick I 1974 Nucl. Phys. A 218 509 [12] Averdung H 1974 Internal Report KPH 3/74 Mainz (unpublished) [13] Dreher B, Friedrich J, Merle K, Rothhaas H and Liihrs G 1974 Nucl. Phys. A 235 219 [14] Cook N D 2006 Models of the Atomic Nucleus ISBN: 5-28569-540-3 [15] Cook N D 1999 J. Phys. G: Nucl. Phys. 25 1213 1999 Cook N D 1994 J. Phys. G: Nucl. Phys. 20 1907 Cook N D 1990 Mod. Phys. Lett. A 5 1321 Cook N D 1990 Mod. Phys. Lett. A 5 1531 [16] Cook N D and Dallacasat V 1987 J. Phys. G: Nucl. Phys. 13 L103 [17] Cook N D 1994 J. Phys. G: Nucl. Phys. 20 1907 [18] Bertsch G, Borysowicz J, McManus H and Love W G 1977 Nucl. Phys. A 284 399 [19] Myers W D and Swiatecki W J 1966 Nucl. Phys. 81 1 [20] Miiller P and Nix J R 1988 At. Data Nucl. Data Tables 39 213 [21] Hodgson P E, Alpha-clustering in nuclei Thc Llncerfainry Principle and Foundations of Quantum Mechonics 1982 Ed W. C. Price (New York Wiley) pp 485-542 [22] Maffiregor M H 1976 Nuovo Cimnfo A 36 113 [23] Mayer M G and Jensen J H D 1955 Elemenlory Theory of Nuclear Shell Structure(New York Wiley) [24] Wigner E 1937 Phys. Rev. 51 106 [25] Cook N D Progress in Nuclear Physics Through the FCC Lattice Model, http://www. particlez.org [26] Canuto V and Chitre S M 1974 Int. Astron. Astrophys. Union Symp. 12 167 [27] N D Cook and Dallacasa V 1987 Phys. Rev. C 35 1883 [28] Satchler G R and Love W G 1979 Phys. Rep. 55 183 [29] Khoa D T and Satchler G R 2000 Nucl. Phys. A 668 3 [30] Ghodsi O N, Mahmoodi M and Ariai J 2007 Phys. Rev. C 75 034605 [31] Gontchar I I, Hinde D J, Dasgupta M and Newton J O 2004 Phys. Rev. C 69 024610 [32] Beachey D J, Nogami Y and Toyama F M 1992 J. Phys. G: Nucl. Part. Phys. 18 1039 [33] Bass R 1977 Phys. Rev. Lett. 39 265 [34] Bass R 1980 Lecture Notes in Physics (Berlin: Springer) vol 117 pp 281–293 [35] Wang N, Zhao K, Scheid W and Wu X 2008 Phys. Rev. C 77 014603 [36] Esbensen H and Jiang C L 2009 Phys. Rev. C 79 064619 [37] Esbensen H and Misicu S 2007 Phys. Rev. C 76 054609 [38] Wong C Y 1972 Phys. Lett. B 42 186 Wong C Y 1973 Phys. Rev. Lett. 31 766 [39] Steadman S G and Rhoades Brown M I 1986 Annu. Rev. Nucl. Sci. 36 649 [40] Hagino K, Rowley N and Kruppa A T 1999 Comput. Phys. Commun. 123 143 [41] Frobrich P 1984 Phys. Rep. 116 337 Marten J and Frobrich P 1992 Nucl. Phys. A 545 854 [42] Ye W 2011 Phys. Rev. C 84 034617 [43] Ye W and Wang N 2013 Phys. Rev. C 87 014610 [44] Wang N and Ye W 2013 Phys. Rev. C 87 051601(R) [45] Winther A 1995 Nucl. Phys. A 594 203 [46] Raman S, Nestor J C W and Tikkanen P 2001 At. Data Nucl. Data Tables 78 1 [47] Spear R H 1989 At. Nucl. Data Tables 42 55 [48] Trotta M, Stefanini A M et al 2001 Phys. Rev. C 65 011601(R) [49] Sonzogni A A et al 1998 Phys. Rev. C 57 722 [50] Stefanini A M et al 1986 Nucl. Phys. A 456 509 [51] Jiang C L, Back B B, Esbensen H et al 2006 Phys. Lett. B 640 18 [52] Vinodkumar A M, Varier K M et al 1996 Phys. Rev. C 53 803 [53] Stefanini A M, Ackermann D et al 1995 Phys. Rev. Lett. 74 864 [54] Vandenbosch R et al 1997 J. Phys. G: Nucl. Part. Phys. 23 1303 [55] Newton J O, Morton C R, Dasgupta M et al 2001 Phys. Rev. C 64 64608 [56] Stefanini A M, Trotta M, Corradi L et al 2002 Phys. Rev. C 65 34609 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|