Abstract.
The fusion cross sections for reactions involving medium and heavy nucleus-nucleus systems are investigated near and above the Coulomb barrier using the one-dimensional barrier penetration model. The microscopic nuclear interaction potential is computed by four methods, namely: the double-folding model based on a realistic density-dependent M3Y NN interaction with a finite-range exchange part, the Skyrme energy density functional in the semiclassical extended Thomas-Fermi approximation, the generalized Proximity potential, and the Akyüz-Winther interaction. The comparison between the calculated and the measured values of the fusion excitation functions indicates that the calculations of the DFM give quite satisfactory agreement with the experimental data, being much better than the other methods. New parameterized forms for the fusion barrier heights and positions are presented. Furthermore, the effects of deformation and orientation degrees of freedom on the distribution of the Coulomb barrier characteristics as well as the fusion cross sections are studied for the reactions 16 O + 70 Ge and 28 Si + 100 Mo. The calculated values of the total fusion cross sections are compared with coupled channel calculations using the code CCFULL and compared with the experimental data. Our results reveal that the inclusion of deformations and orientation degrees of freedom improves the comparison with the experimental data.
Similar content being viewed by others
References
P.-G. Reinhard, A.S. Umar, P.D. Stevenson, J. Piekarewicz, V.E. Oberacker, J.A. Maruhn, Phys. Rev. C 93, 044618 (2016)
Tapan Rajbongshi, K. Kalita, S. Nath, J. Gehlot, Tathagata Banerjee, Ish Mukul, R. Dubey, N. Madhavan, C.J. Lin, A. Shamlath, P.V. Laveen, M. Shareef, Neeraj Kumar, P. Jisha, P. Sharma, Phys. Rev. C 93, 054622 (2016)
N. Rowley, K. Hagino, Phys. Rev. C 91, 044617 (2015)
A. Adel, V.A. Rachkov, A.V. Karpov, A.S. Denikin, M. Ismail, W.M. Seif, A.Y. Ellithi, Nucl. Phys. A 876, 119 (2012)
V.A. Rachkov, A. Adel, A.V. Karpov, A.S. Denikin, V.I. Zagrebaev, AIP Conf. Proc. 1491, 381 (2012)
M. Ismail, A. Adel, Phys. Rev. C 84, 034610 (2011)
M. Ismail, A. Adel, Nucl. Phys. A 859, 1 (2011)
Ishwar Dutt, Rajeev K. Puri, Phys. Rev. C 81, 044615 (2010)
A.M. Stefanini, F. Scarlassara, S. Beghini, G. Montagnoli, R. Silvestri, M. Trotta, B.R. Behera, L. Corradi, E. Fioretto, A. Gadea, Y.W. Wu, S. Szilner, H.Q. Zhang, Z.H. Liu, M. Ruan, F. Yang, N. Rowley, Phys. Rev. C 73, 034606 (2006)
H. Timmers, D. Ackermann, S. Beghini, L. Corradi, J.H. He, G. Montagnoli, F. Scarlassara, A.M. Stefanini, N. Rowley, Nucl. Phys. A 633, 421 (1998)
V.Yu. Denisov, S. Hofmann, Phys. Rev. C 61, 034606 (2000)
K.P. Santhosh, V. Bobby Jose, Antony Joseph, K.M. Varier, Nucl. Phys. A 817, 35 (2009)
K.P. Santhosh, V. Bobby Jose, Nucl. Phys. A 922, 191 (2014)
G.R. Satchler, W.G. Love, Phys. Rep. 55, 183 (1979)
I.I. Gontchar, D.J. Hinde, M. Dasgupta, J.O. Newton, Phys. Rev. C 69, 024610 (2004)
X. Chen, Y.W. Lui, H.L. Clark, Y. Tokimoto, D.H. Youngblood, Phys. Rev. C 76, 054606 (2007)
D. Gupta, D.N. Basu, Nucl. Phys. A 748, 402 (2005)
D.N. Basu, P. Roy Chowdhury, C. Samanta, Phys. Rev. C 72, 051601(R) (2005)
P. Roy Chowdhury, C. Samanta, D.N. Basu, Phys. Rev. C 73, 014612 (2006)
M. Ismail, A.Y. Ellithi, M.M. Botros, A. Adel, Phys. Rev. C 81, 024602 (2010)
J. Blocki, J. Randrup, W.J. Swiatecki, C.F. Tsang, Ann. Phys. (N.Y.) 105, 427 (1977)
G.L. Zhang, W.W. Qu, M.F. Guo, H.Q. Zhang, R. Wolski, J.Q. Qian, Eur. Phys. J. A 52, 39 (2016)
O.N. Ghodsi, F. Torabi, Phys. Rev. C 92, 064612 (2015)
O. Akyüz, A. Winther, in Proceedings of the Enrico Fermi International School of Physics 1979, edited by R.A. Broglia, C.H. Dasso, R. Ricci (North-Holland, Amsterdam, 1981)
A. Winther, Nucl. Phys. A 594, 203 (1995)
C.Y. Wong, Phys. Rev. Lett. 31, 766 (1973)
K. Hagino, N. Rowley, A.T. Kruppa, Comput. Phys. Commun. 123, 143 (1999)
V.I. Zagrebaev, V.V. Samarin, Phys. At. Nucl. 67, 1462 (2004)
D.L. Hill, J.A. Wheeler, Phys. Rev. 89, 1102 (1953)
A.B. Balantekin, N. Takigaw, Rev. Mod. Phys. 70, 77 (1998)
S. Landowne, S.C. Pieper, Phys. Rev. C 29, 1352 (1984)
K. Hagino, N. Takigawa, A.B. Balantekin, J.R. Bennett, Phys. Rev. C 52, 286 (1995)
Dao T. Khoa, G.R. Satchler, Nucl. Phys. A 668, 3 (2000)
Dao T. Khoa, Phys. Rev. C 63, 034007 (2001)
S. Misicu, W. Greiner, Phys. Rev. C 66, 044606 (2002)
Raj K Gupta, Dalip Singh, Raj Kumar, Walter Greiner, J. Phys. G 36, 075104 (2009)
B. Sinha, Phys. Rep. 20, 1 (1975)
Dao T. Khoa, G.R. Satchler, W. von Oertzen, Phys. Rev. C 56, 954 (1997)
Mark J. Rhoades-Brown, Volker E. Oberacker, Martin Seiwert, Walter Greiner, Z. Phys. A 310, 287 (1983)
B. Grammoticos, A. Voros, Ann. Phys. 123, 359 (1979)
M. Beiner, H. Flocard, Nguyen Van Giai, P. Quentin, Nucl. Phys. A 238, 29 (1975)
E. Chabanat, P. Bonche, P. Haensel et al., Nucl. Phys. A 635, 231 (1998)
K.P. Santhosh, B. Priyanka, Phys. Rev. C 87, 064611 (2013)
J. Blocki, W.J. Swiatecki, Ann. Phys. (N.Y.) 132, 53 (1981)
I.I. Gontchar, M. Dasgupta, D.J. Hinde, R.D. Butt, A. Mukherjee, Phys. Rev. C 65, 034610 (2002)
N. Keeley, J.S. Lilley, J.X. Wei et al., Nucl. Phys. A 628, 1 (1998)
J.O. Newton, C.R. Morton, M. Dasgupta et al., Phys. Rev. C 64, 064608 (2001)
C.R. Morton, M. Dasgupta, D.J. Hinde et al., Phys. Rev. Lett. 72, 4074 (1994)
C.R. Morton, A.C. Berriman, M. Dasgupta et al., Phys. Rev. C 60, 044608 (1999)
J. Khuyagbaatar, K. Nishio, S. Hofmann et al., Phys. Rev. C 86, 064602 (2012)
A.M. Stefanini, G. Montagnoli, R. Silvestri et al., Phys. Lett. B 679, 95 (2009)
R.K. Gupta, M. Balasubramaniam, R. Kumar, N. Singh, M. Manhas, W. Greiner, J. Phys. G: Nucl. Part. Phys. 31, 631 (2005)
S. Raman, C.W. Nestor Jr., P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001)
Ö. Akyüz, . Winther, R.A. Broglia, R.A. Ricci (Editors), Nuclear Structure and Heavy-Ion Physics, in Proceedings of the International School of Physics ``Enrico Fermi'', Course LXXVII, Varenna, (North-Holland, Amsterdam, 1981)
E.F. Aguilera, J.J. Kolata, R.J. Tighe, Phys. Rev. C 52, 3103 (1995)
V.Yu. Denisov, N.A. Pilipenko, Phys. Rev. C 76, 014602 (2007)
D. Ackermann, F. Scarlassara, P. Bednarczyk et al., Nucl. Phys. A 583, 129 (1995)
S. Gary, C. Volant, Phys. Rev. C 25, 1877 (1982)
C.L. Jiang, A.M. Stefanini, H. Esbensen et al., Phys. Rev. Lett. 113, 022701 (2014)
C.L. Jiang, K.E. Rehm, H. Esbensen et al., Phys. Rev. C 81, 024611 (2010)
E.F. Aguilera, J.J. Vega, J.J. Kolata et al., Phys. Rev. C 41, 910 (1990)
Y.X. Watanabe, A. Yoshida, T. Fukuda et al., Eur. Phys. J. A 10, 373 (2001)
Y. Nagashima, J. Schimizu, T. Nakagava et al., Phys. Rev. C 33, 176 (1986)
M. Dasgupta, A. Navin, Y.K. Agarwal et al., Nucl. Phys. A 539, 351 (1992)
R.D. Butt, D.J. Hinde, M. Dasgupta et al., Phys. Rev. C 66, 044601 (2002)
A. Morsad, J.J. Kolata, R.J. Tighe et al., Phys. Rev. C 41, 988 (1990)
E. Bozek, D.M. De Castro-Rizzo, S. Cavallaro et al., Nucl. Phys. A 451, 171 (1986)
G.M. Berkowitz, P. Braun-Munzinger, J.S. Karp et al., Phys. Rev. C 28, 667 (1983)
Vandana Tripathi, Lagy T. Baby, J.J. Das et al., Phys. Rev. C 65, 014614 (2001)
B.G. Glagola, B.B. Back, R.R. Betts, Phys. Rev. C 29, 486 (1984)
W. Reisdorf, F.P. Hessberger, K.D. Hildenbrand et al., Nucl. Phys. A 438, 212 (1985)
R.G. Stokstad, W. Reisdorf, K.D. Hildenbrand et al., Z. Phys. 295, 269 (1980)
J.D. Bierman, P. Chan, J.F. Liang et al., Phys. Rev. C 54, 3068 (1996)
A.M. Stefanini, M. Trotta, L. Corradi et al., Phys. Rev. C 65, 034609 (2002)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by F. Nunes
Rights and permissions
About this article
Cite this article
Adel, A., Alharbi, T. Quantitative analysis of the fusion cross sections using different microscopic nucleus-nucleus interactions. Eur. Phys. J. A 53, 1 (2017). https://doi.org/10.1140/epja/i2017-12193-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2017-12193-9