Abstract
Since the discovery of molecular resonances in \(^{12}\hbox {C}+^{12}\hbox {C}\) in the early sixties a great deal of research work has been undertaken to study \(\alpha \)-clustering and resonant effects of the fusion process at sub-Coulomb barrier energies. The modified astrophysical \(S^{*}\) factors of \(^{12}\hbox {C}+^{12}\hbox {C}\) fusion have been extracted from direct fusion measurements at deep sub-barrier energies near the Gamow window. They were also obtained by the indirect Trojan horse method (THM). A comparison of direct measurements and the THM, which elucidates problems in the analysis of the THM, is discussed in this Letter to the Editor.
This is a preview of subscription content, log in via an institution to check access.
Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data generated during this study are contained in the published article.]
References
K. Mori et al., MNRAS Lett. 482, L70 (2019) arXiv:1810.01025 (2018)
H.W. Becker et al., Z. Phys. A 303, 305 (1981)
K.U. Kettner, H. Lorenz-Wirzba, C. Rolfs, Z. Phys. A 298, 65 (1980)
E.F. Aguilera et al., Phys. Rev. C 73, 064601 (2006)
T. Spillane et al., Phys. Rev. Lett. 98, 122501 (2007)
J.R. Patterson, H. Winkler, C.S. Zaidins, Astrophys. J. 157, 367 (1969)
C.L. Jiang et al., Phys. Rev. C 97, 012801(R) (2018)
A. Tumino et al., Nature 557, 687 (2018)
G.R. Caughlan, W.A. Fowler, At. Data Nucl. Data Tables 40, 283 (1988)
H. Esbensen, X. Tang, C.L. Jiang, Phys. Rev. C 84, 064613 (2011)
A. Diaz-Torres, M. Wiescher, Phys. Rev. C 97, 055802 (2018)
L.R. Gasques et al., Phys. Rev. C 76, 035802 (2007)
Le Hoang Chien et al., Phys. Rev. C 98, 064604 (2018)
Dao T. Khoa et al., Nucl. Sci. Tech. 29, 182 (2018)
K. Godbey, C. Simenel, A.S. Umar, Phys. Rev. C 100, 024619 (2019)
M. Notani et al., Phys. Rev. C 85, 014607 (2012)
C.L. Jiang et al., Phys. Rev. Lett. 110, 072701 (2013)
C.L. Jiang et al., Phys. Rev. C 75, 015803 (2007)
N.T. Zhang, Phys. Lett. B 801, 135170 (2020)
M. Wiescher, Priv. Commun. (2019) (under review)
A.M. Mukhamedzhanov, D.Y. Pang, A.S. Kadyrov, Phys. Rev. C 99, 064618 (2019)
X. Tang, in The 12 C–12 C Fusion Reaction at STELLAr Energies, ed. by A. Formicola, M. Junker, L. Gialanella, G. Imbriani. Proceeding of 15th International Symposium on Nuclei in the Cosmos, Springer Proceedings in Physics, vol. 13 (2019), p. 219
G. Baur, Phys. Lett. B 178, 135 (1986)
C. Spitaleri et al., Phys. Rev. C 60, 055802 (1999)
C. Spitaleri et al., Eur. Phys. J. A 55, 161 (2019)
R.E. Tribble et al., Rep. Prog. Phys. 77, 106901 (2014)
K. Nagatani, Phys. Lett. B 35, 286 (1971)
R.W. Zurmuhle et al., Phys. Rev. C 49, 2549 (1994)
K.P. Erb, D.A. Bromley, Phys. Rev. C 23, 2781 (1981)
F. Hoyle, Astrophys. J. Suppl. 1, 121 (1954)
M. Freer et al., Rev. Mod. Phys. 90, 035004 (2018)
N. Rowley, K. Hagino, Phys. Rev. C 91, 044617 (2015)
M. Assuncao, P. Descouvemont, Phys. Lett. B 723, 355 (2013)
G.V. Rogachev, Priv. Commun. (2019) (work in progress at Texas A&M University)
Acknowledgements
A.M.M. acknowledges a support from the U.S. DOE Grant No. DE-FG02-93ER40773 and the NNSA Grant No. DENA000384. X.T. is supported in part by the National Key Research and Development program (MOST 2016YFA0400501) from the Ministry of Science and Technology of China and from the key research program (XDPB09-2). A.M.M. thanks Dr. Goldberg for very useful comments.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by N. Alamanos.
Rights and permissions
About this article
Cite this article
Beck, C., Mukhamedzhanov, A.M. & Tang, X. Status on \(^{\mathbf {12}}\mathbf {C}+{}^{\mathbf {12}}{\mathbf {C}}\) fusion at deep subbarrier energies: impact of resonances on astrophysical \(S^{*}\) factors. Eur. Phys. J. A 56, 87 (2020). https://doi.org/10.1140/epja/s10050-020-00075-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/s10050-020-00075-2