Abstract
In this study, we investigate fusion cross sections including halo and weakly-bound nuclei around Coulomb barrier. We reviewed our previous results for the total fusion cross sections of the \(^{6}\)He+ \({}^{209}\)Bi, \(^{11}\)Li+ \({}^{208}\)Pb and \(^{14,15}\)C+ \({}^{232}\)Th systems, which involve well-known halo nuclei. Then, to analyze the total fusion reaction of neutron-rich nuclei, \(^{9}\)Li + \(^{70}\)Zn system, we introduced the coupled channel method for a two-neutron transfer in the fusion reaction practically. To study the neutron-rich projectile nucleus of this system (\(^{9}\)Li), we constructed a folding potential with projectile and target densities using charge density distribution. Finally, we analyzed the fusion cross section of the \(^{9}\)Li + \(^{70}\)Zn system in one or two channel coupled manners. By adjusting the coupling strength and effective Q-value of the coupling form factor, we successfully reproduced the experimental fusion cross-section data for this system. Our results indicate that the two-neutron transfer channel plays a critical role in the fusion reactions of neutron-rich nuclei, such as \(^{9}\)Li nuclei at energies around the Coulomb barrier.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40042-023-00718-9/MediaObjects/40042_2023_718_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40042-023-00718-9/MediaObjects/40042_2023_718_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40042-023-00718-9/MediaObjects/40042_2023_718_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40042-023-00718-9/MediaObjects/40042_2023_718_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40042-023-00718-9/MediaObjects/40042_2023_718_Fig5_HTML.png)
Similar content being viewed by others
References
A. Hassan, Bull. Rus. Acad. Sci. Phys. 70, 1558 (2006)
M. Dasgupta, P.R.S. Gomes, D.J. Hinde, S.B. Moraes, R.M. Anjos, A.C. Berriman, R.D. Butt, N. Carlin, J. Lubian, C.R. Morton, J.O. Newton, A. Szanto de Toledo, Phys. Rev. C 70, 024606 (2004)
A.M. Vinodkumar, W. Loveland, R. Yanez, M. Leonard, L. Yao, P. Bricault, M. Dombsky, P. Kunz, J. Lassen, A.C. Morton, D. Ottewell, D. Preddy, M. Trinczek, Phys. Rev. C 87, 044603 (2013)
C. Signorini, A. Yoshida, Y. Watanabe, D. Pierroutsakou, L. Stroe, T. Fukuda, M. Mazzocco, N. Fukuda, Y. Mizoi, M. Ishihara, H. Sakurai, A. Diaz-Torres, K. Hagino, Nucl. Phys. A 735, 329 (2004)
K. Hagino, A. Vitturi, C.H. Dasso, S.M. Lenzi, Phys. Rev. C 61, 037602 (2000)
K. Hagino, N. Takigawa, Prog. Theor. Phys. 128, 1061 (2012)
L. Canto, P. Gomes, R. Donangelo, M. Hussein, Phys. Rep. 424, 1 (2006)
L. Canto, P. Gomes, R. Donangelo, J. Lubian, M. Hussein, Phys. Rep. 596, 1 (2015)
V.I. Zagrebaev, V.V. Samarin, W. Greiner, Phys. Rev. C 75, 035809 (2007)
K.-S. Choi, M.-K. Cheoun, W.Y. So, K. Hagino, K.S. Kim, Phys. Lett. B 780, 455 (2018)
K.-S. Choi, M.-K. Cheoun, K.S. Kim, T. Kim, W.Y. So, J. Korean Phys. Soc. 70, 42 (2017)
N. Takigawa, H. Sagawa, Phys. Lett. B 265, 23 (1991)
C. Forssén, V.D. Efros, M.V. Zhukov, Nucl. Phys. A 706, 48 (2002)
F. Barranco, E. Vigezzi, R. Broglia, Phys. Lett. B 319, 387 (1993)
J. Bang, B. Danilin, V. Efros, J. Vaagen, M. Zhukov, I. Thompson, Phys. Rep. 264, 27 (1996)
T. Myo, S. Aoyama, K. Katō, K. Ikeda, Phys. Lett. B 576, 281 (2003)
S. Kumar, V.S. Bhasin, Phys. Rev. C 65, 034007 (2002)
J. Görres, H. Herndl, I.J. Thompson, M. Wiescher, Phys. Rev. C 52, 2231 (1995)
V.D. Efros, W. Balogh, H. Herndl, R. Hofinger, H. Oberhummer, Z. Phys. A 355, 101 (1996)
S.B. Dubovichenko, A.V. Dzhazairov-Kakhramanov, Astrophys. J. 819, 1 (2016)
T. Ka**o, G. Mathews, G. Fuller, Astrophys. J. 364, 7 (1990)
R. Malaney, W. Fowler, in The origin and distribution of the elements. ed. by G.J. Mathews (World Scientific, Singapore, 1988)
P. Banerjee, R. Chatterjee, R. Shyam, Phys. Rev. C 78, 035804 (2008)
A. Balantekin, G. Kocak, AIP Conf. Proc. 1072, 289 (2008)
Ö. Akyüz, A. Winther, Proceedings of the Enrico Fermi School of Physics. 1979, (1981)
Riccardo Raabe, J.L. Sida, J.L. Charvet, N. Alamanos, C. Angulo, J.M. Casandjian, S. Courtin, A. Drouart, D.J.C. Durand, P. Figuera et al., Nature 431, 823 (2004)
K.-S. Choi, M.-K. Cheoun, K.S. Kim, T.H. Kim, W.Y. So, J. Korean. Phys. Soc. 70, 42 (2017)
A. A. Hassan, S. Lukyanov, R. Kalpakchieva, Yu. E. Penionzhkevich, R. A. A. stabatyan, J. Vinsour, Z. Dlouhy, A. A. Kulko, J. Mrazek, S. P. Lobastov, E. R. Markaryan, V. A. Maslov, N. K. Skobelev, Yu. G. Sobolev, Bull. Rus. Acad. Sci. Phys. 70, 1558 (2006)
K.-S. Choi, K.S. Kim, M.-K. Cheoun, W.Y. So, K. Hagino, Phys. Rev. C 103, 034611 (2021)
M. Alcorta, K.E. Rehm, B.B. Back, S. Bedoor, P.F. Bertone, C.M. Deibel, B. DiGiovine, H. Esbensen, J.P. Greene, C.R. Hoffman, C.L. Jiang, J.C. Lighthall, S.T. Marley, R.C. Pardo, M. Paul, A.M. Rogers, C. Ugalde, A.H. Wuosmaa, Phys. Rev. Lett. 106, 172701 (2011)
W. Loveland, A.M. Vinodkumar, R.S. Naik, P.H. Sprunger, B. Matteson, J. Neeway, M. Trinczek, M. Dombsky, P. Machule, D. Ottewell, D. Cross, K. Gagnon, W.J. Mills, Phys. Rev. C 74, 064609 (2006)
K. Hagino, N. Rowley, A. Kruppa, Comput. Phys. Commun. 123, 143 (1999)
G. Bertsch, J. Borysowicz, H. McManus, W. Love, Nucl. Phys. A 284, 399 (1977)
G. Satchler, W. Love, Phys. Rep. 55, 183 (1979)
G. Satchler, Nucl. Phys. A 329, 233 (1979)
H. De Vries, C.W. De Jager, C. De Vries, At. Data Nucl. Data Tables 36, 495 (1987)
A.M. Vinodkumar, W. Loveland, P.H. Sprunger, L. Prisbrey, M. Trinczek, M. Dombsky, P. Machule, J.J. Kolata, A. Roberts, Phys. Rev. C 80, 054609 (2009)
C. Dasso, G. Pollarolo, Phys. Lett. B 155, 223 (1985)
N. Rowley, G. Satchler, P. Stelson, Phys. Lett. B 254, 25 (1991)
Acknowledgements
The authors wish to express their sincere gratitude to Professor K. Hagino for providing valuable comments. This work was supported by the National Research Foundation of Korea (Grant No. NRF-2021R1F1A1051935).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Heo, K., Choi, KS. Fusion reactions including weakly-bound and halo nuclei around Coulomb barrier. J. Korean Phys. Soc. 82, 522–529 (2023). https://doi.org/10.1007/s40042-023-00718-9
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40042-023-00718-9