Abstract
Alternative methods to calculate neutron capture cross sections on radioactive nuclei are reported using the theory of inclusive non-elastic breakup (INEB) developed by Hussein and McVoy (Nucl. Phys. A. 445, p. 124, 1985). The statistical coupled-channels theory proposed in Bertulani et al. (Eur. Phys. J. Web Conf. 69, 00020, 2014) is further extended in the realm of random matrices. The case of reactions with the projectile and the target being two-cluster nuclei is also analyzed and applications are made for scattering from a deuteron target (Hussein et al. 2020). An extension of the theory to a three-cluster projectile incident on a two-cluster target is also discussed. The theoretical developments described here should open new possibilities to obtain information on the neutron capture cross sections of radioactive nuclei using indirect methods.
Similar content being viewed by others
References
M.S. Hussein, K.W. McVoy, . Nucl. Phys. A. 445, 124 (1985)
C.A. Bertulani, P. Descouvemont, M.S. Hussein, . Eur. Phys. J. Web Conf. 69, 00020 (2014)
M.S. Hussein, C.A. Bertulani, B.V. Carlson, T. Frederico, Vol. 238. Recent Progress in Few-Body Physics (Springer, Berlin, 2020), p. 201
C.A. Bertulani, L.F. Canto, M.S. Hussein, . Phys. Rep. 226, 281 (1993)
C.A. Bertulani, A. Gade, . Phys. Rep. 485, 195 (2010)
R. Tribble, et al., . Rep. Prog. Phys. 77, 106901 (2014)
T. Aumann, C.A. Bertulani, . Prog. Part. Nucl. Phys. 112, 103753 (2020)
C.A. Bertulani, T. Kajino, . Prog. Part. Nucl. Phys. 89, 56 (2016)
J.E. Escher, et al., . Rev. Mod. Phys. 84, 353 (2012)
J.E. Escher, et al., . Phys. Rev. Lett. 121, 052501 (2018)
G. Potel, et al., . Eur. Phys. J. A. 53, 178 (2017)
G. Baur, . Phys. Lett. B. 178, 135 (1986)
C. Spitaleri, et al., . Phys. Rev. C. 63, 055801 (2001)
A. Tumino, et al., . J. Phys. Conf. Series. 665, 012009 (2016)
M.S. Hussein, . Eur. Phys. J. A. 53, 110 (2017)
C.A. Bertulani, M.S. Hussein, S. Typel, . Phys. Lett. B. 776, 217 (2018)
A.M. Mukhamedzhanov, N.K. Timofeyuk, . Sov. J. Nucl. Phys. 51, 431 (1990)
H.M. Xu, et al., . Phys. Rev. Lett. 73, 2027 (1994)
A.M. Mukhamedzhanov, . Phys. Rev. C. 63, 024612 (2001)
M. Ichimura, N. Austern, C.M. Vincent, . Phys. Rev. C. 32, 431 (1985)
A. Kasano, M. Ichimura, . Phys. Lett. B. 115, 81 (1982)
T. Udagawa, T. Tamura, . Phys. Rev. C. 24, 1348 (1981)
M.S. Hussein, . Eur. Phys. J. A. 53, 110 (2017)
C.A. Bertulani, L.F. Canto, M.S. Hussein, Shubhchintak, viet nhan hao tran. Int. J. Mod. Phys. E. 28, 1950109 (2019)
S.D. Pain, et al., . Phys. Rev Lett. 114, 212501 (2015)
G.F. Chew, F.E. Low, . Phys. Rev. 113, 1640 (1959)
B.V. Carlson, T. Frederico, M.S. Hussein, . Phys. Lett. B. 767, 53 (2017)
G. Potel, F.M. Nunes, I.J. Thompson, . Phys. Rev. C. 92, 034611 (2015)
Q. Ducasse, et al., . Phys. Rev. C. 94, 024614 (2016)
J. Lei, A.M. Moro, . Phys. Rev. C. 92, 044616 (2015)
J. Lei, A.M. Moro, . C. 92(R), 061602 (2015)
J. Lei, A.M. Moro, . Phys. Rev. C. 95, 044605 (2017)
B.V. Carlson, R. Capote, M. Sin, . Few-Body Syst. 57, 307 (2016)
V. Bernard, N. Van Giai, . Nucl. Phys. A. 348, 75 (1980)
J.W. Holt, N. Kaiser, G.A. Miller, W. Weise, . Phys. Rev. C. 88, 024614 (2013)
T.R. Whitehead, Y. Lim, J.W. Holt, . Phys. Rev. C. 100, 014601 (2019)
J.A. Shusterman, et al, . Nature. 565, 328 (2019)
N. Dewi, et al., . Biomed. Pharmacotherapy. 67, 451 (2013)
Y. Yoshiaki, Y. Fujita, . Oral Sci. Int. 10, 9 (2013)
W.M. Stacey, . Nuclear Reactor Physics. 2nd Ed. (Wiley-VCH), p 213 (2007)
S.F. Mughabghab, Thermal neutron capture cross sections resonance integrals and G-factors. Int. Atomic. Energy Agency INDC(NDS)-440 (2003)
M. Bhike, W. Tornow, . Phys. Rev. C. 89(R), 031602 (2014)
B.L. Cohen. Concepts of Nuclear Physics (McGraw-Hill, Inc., New York, 1971)
B.V. Carlson, M.S. Hussein, A.K. Kerman, . Act. Phys. Polonica B. 47, 491 (2016)
P. Descouvemont, D. Baye, . Rep. Prog. Phys. 73, 036301 (2010)
B. Bloch, H. Feshbach, . Ann. Phys. (NY). 23, 47 (1963)
A.K. Kerman, L.S. Rodberg, J.E. Young, . Phys. Rev. Lett. 11, 422 (1963)
H. Feshbach, Theoretical nuclear physics: nuclear reactions (1993)
M. Kamimura, M. Yahiro, Y. Iseri, Y. Sakuragi, H. Kameyama, M. Kawai, . Prog. Theor. Phys. Suppl. 89, 1 (1986)
N. Austern, Y. Iseri, M. Kamimura, M. Kawai, G. Rawitscher, M. Yahiro, . Phys. Rep. 154, 125 (1987)
K. Ogata, K. Yoshida, . Phys. Rev. C. 94, 051603 (2016)
M. Yahiro, K. Ogata, T. Matsumoto, K. Minomo, ., Vol. 1 (2012)
C.A. Bertulani, L.F. Canto, . Nucl. Phys. A. 539, 163 (1992)
G.P.A. Nobre, F.S. Dietrich, J.E. Escher, I.J. Thompson, M. Dupuis, J. Terasaki, J. Engel, . Phys. Rev. Lett. 105, 202502 (2010)
M.S. Hussein, . Phys. Rev. C. 30, 1962 (1984)
F. Canto, P.R.S. Gomes, R. Donangelo, M.S. Hussein, . Phys. Rep. 424, 1 (2006)
Acknowledgments
BVC thanks P. Descouvemont for discussions and his hospitality at the Université Libre de Bruxelles where part of this work was developed.
Funding
CAB received support from U.S. DOE Grant No. DE-FG02-08ER41533as well as funding contributed through the LANL Collaborative Research Program by the Texas A&M System National Laboratory Office and Los Alamos National Laboratory. BVC received support from grant 2017/05660-0 of the São Paulo Research Foundation (FAPESP), grant 306433/2017-6 of the CNPq, and the INCT-FNA project 464898/2014-5.
Author information
Authors and Affiliations
Corresponding author
Additional information
To the Memory of Mahir Hussein
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Bertulani, C.A., Carlson, B.V. Neutron Capture Cross Sections of Radioactive Nuclei. Braz J Phys 51, 212–222 (2021). https://doi.org/10.1007/s13538-020-00824-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13538-020-00824-0