Abstract.
Resonances in neutron-induced reactions are important for reaction cross sections and nuclear data in general. They play a major role in nuclear technology for energy or medicine, but also in the study of nuclear level densities and stellar nucleosynthesis. An outline of the field of neutron physics is given, with a focus on neutron resonances, an introduction to the R-matrix formalism and the statistical behaviour of resonance observables.
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References
N. Bohr, Nature 137, 344 (1936)
J.R. Santisteban, L. Edwards, H.G. Priesmeyer et al., Appl. Phys. A 74, s1616 (2002)
R.A. Alpher, H. Bethe, G. Gamow, Phys. Rev. 73, 803 (1948)
E. Margaret Burbidge, G.R. Burbidge, William A. Fowler et al., Rev. Mod. Phys. 29, 547 (1957)
George Wallerstein, Icko Iben, Peter Parker et al., Rev. Mod. Phys. 69, 995 (1997)
F. Käppeler, R. Gallino, S. Bisterzo et al., Rev. Mod. Phys. 83, 157 (2011)
S.E. Woosley, A. Heger, T.A. Weaver, Rev. Mod. Phys. 74, 1015 (2002)
Stephane Goriely, Andreas Bauswein, Hans-Thomas Janka, Astrophys. J. 738, L32 (2011)
Claude Bloch, Phys. Rev. 93, 1094 (1954)
Torleif Ericson, Adv. Phys. 9, 425 (1960)
J.R. Huizenga, L.G. Moretto, Annu. Rev. Nucl. Sci. 22, 427 (1972)
A.S. Iljinov, M.V. Mebel, N. Bianchi et al., Nucl. Phys. A 543, 517 (1992)
Till von Egidy, Dorel Bucurescu, Phys. Rev. C 72, 044311 (2005)
H. Nakamura, T. Fukahori, Phys. Rev. C 72, 064329 (2005)
S. Goriely, S. Hilaire, A.J. Koning, Phys. Rev. C 78, 064307 (2008)
S.M. Qaim, J. Radioanal. Nucl. Chem. 305, 233 (2015)
G. Aliberti et al., Nucl. Sci. Eng. 146, 13 (2004)
A. Nuttin et al., Ann. Nucl. Energy 40, 171 (2012)
H. Brysk, Plasma Phys. Controlled Fusion 15, 611 (1973)
J. Eriksson et al., Comput. Phys. Commun. 199, 40 (2016)
A.J. Koning et al., J. Korean Phys. Soc. 59, 1057 (2011)
M.B. Chadwick et al., Nucl. Data Sheets 112, 2887 (2011)
K. Shibata, J. Nucl. Sci. Technol. 50, 449 (2013)
A.M. Lane et al., Rev. Mod. Phys. 30, 257 (1958)
W.E. Lamb, Phys. Rev. 55, 190 (1939)
I. Dillmann, KADoNiS v0.3, https://doi.org/www.kadonis.org (2009)
N. Otuka et al., Nucl. Data Sheets 120, 272 (2014)
N. Colonna, F. Gunsing, F. Käppeler, Prog. Part. Nucl. Phys. 101, 177 (2018)
E. Bauge, J.P. Delaroche, M. Giro, Phys. Rev. C 63, 024607 (2001)
G.L. Payne, L. Schlessinger, Phys. Rev. C 2, 1648 (1970)
R. Shyam, O. Scholten, Phys. Rev. C 78, 065201 (2008)
E.P. Wigner, L. Eisenbud, Phys. Rev. 72, 29 (1947)
J.E. Lynn, The Theory of Neutron Resonance Reactions (Clarendon Press, Oxford, 1968)
F. Fröhner, Tech. rep. JEFF Report 18, OECD/NEA (2000)
P. Descouvemont, D. Baye, Rep. Prog. Phys. 73, 036301 (2010)
J. Humblet, L. Rosenfeld, Nucl. Phys. 26, 529 (1961)
E. Vogt, Rev. Mod. Phys. 34, 723 (1962)
F. Schmittroth, W. Tobocman, Phys. Rev. C 3, 1010 (1971)
D.B. Adler, F.T. Adler, Phys. Rev. C 6, 986 (1972)
C. Chandler, W. Tobocman, Phys. Rev. C 19, 1660 (1979)
T.A. Brody, J. Flores, J.B. French et al., Rev. Mod. Phys. 53, 385 (1981)
J. Humblet, Phys. Rev. C 42, 1582 (1990)
H. Feshbach, Theoretical Nuclear Physics
A.A. Luk'yanov, N.B. Yaneva, Phys. Part. Nucl. 28, 331 (1997)
C.R. Brune, Phys. Rev. C 66, 044611 (2002)
M. Abramowitz, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover Publications, New York, 1965)
D. Zwillinger, CRC Standard Mathematical Tables and Formulae (CRC Press, 2003)
J.M. Blatt, L.C. Biedenharn, Rev. Mod. Phys. 24, 258 (1952)
C.W. Reich, M.S. Moore, Phys. Rev. 111, 929 (1958)
P.L. Kapur, R.E. Peierls, Proc. R. Soc. A 166, 277 (1938)
R.N. Hwang, Nucl. Sci. Eng. 52, 157 (1973)
M.L. Mehta, Nucl. Phys. 18, 395 (1960)
M.L. Mehta, Random Matrices (Academic Press, 1991)
S. Fernbach, R. Serber, T.B. Taylor, Phys. Rev. 75, 1352 (1949)
H.S. Camarda, F.S. Dietrich, T.W. Phillips, Phys. Rev. C 39, 1725 (1989)
H. Leeb, S. Wilmsen, Phys. Rev. C 62, 024602 (2000)
F.S. Dietrich, J.D. Anderson, R.W. Bauer et al., Phys. Rev. C 67, 041301(R) (2003)
R. Capote, E.S. Soukhovitskii, J.M. Quesada et al., Phys. Rev. C 72, 064610 (2005)
J.M. Quesada, R. Capote, E.S. Soukhovitskii et al., Phys. Rev. C 76, 057602 (2007)
W. Hauser, H. Feshbach, Phys. Rev. 87, 366 (1952)
H. Feshbach, C.E. Porter, V.F. Weisskopf, Phys. Rev. 96, 448 (1954)
P.E. Hodgson, Nuclear Reactions and Nuclear Structure (Clarendon Press, Oxford, 1971)
P.A. Moldauer, Phys. Rev. C 11, 426 (1975)
P.A. Moldauer, Phys. Rev. C 12, 744 (1975)
P.A. Moldauer, Phys. Rev. C 14, 764 (1976)
P.A. Moldauer, Nucl. Phys. A 344, 185 (1980)
I. Sirakov, R. Capote, F. Gunsing et al., Ann. Nucl. Energy 35, 1223 (2008)
J.J.M. Verbaarschot, H.A. Weidenmuller, M.R. Zirnbauer, Phys. Rep. 129, 367 (1985)
J.J.M. Verbaarschot, Ann. Phys. 168, 368 (1986)
M. Herman, R. Capote, B.V. Carlson et al., Nucl. Data Sheets 108, 2655 (2007)
A.J. Koning, S. Hilaire, M. Duijvestijn, Technical report (2007)
H. Feshbach, C.E. Porter, V.F. Weisskopf, Phys. Rev. 96, 448 (1954)
G.E. Brown, Rev. Mod. Phys. 31, 893 (1959)
P.E. Hodgson, Rep. Prog. Phys. 34, 765 (1971)
E.P. Wigner, Ann. Math. 62, 548 (1955)
E.P. Wigner, Ann. Math. 65, 203 (1957)
E.P. Wigner, Ann. Math. 67, 325 (1958)
F.J. Dyson, J. Math. Phys. 3, 140 (1962)
F.J. Dyson, J. Math. Phys. 3, 157 (1962)
F.J. Dyson, J. Math. Phys. 3, 166 (1962)
F.J. Dyson, M.L. Mehta, J. Math. Phys. 4, 701 (1963)
M.L. Mehta, F.J. Dyson, J. Math. Phys. 4, 713 (1963)
O. Bohigas, M.J. Giannoni, C. Schmit, Phys. Rev. Lett. 52, 1 (1984)
T.A. Brody, J. Flores, J.B. French et al., Rev. Mod. Phys. 53, 385 (1981)
H.A. Weidenmüller, G.E. Mitchell, Rev. Mod. Phys. 81, 539 (2009)
G.E. Mitchell, A. Richter, H.A. Weidenmüller, Rev. Mod. Phys. 82, 2845 (2010)
M. Carmeli, J. Stat. Phys. 10, 259 (1974)
J.B. French, Nucl. Phys. A 396, 87 (1983)
C.E. Porter, R.G. Thomas, Phys. Rev. 104, 483 (1956)
M.L. Mehta, Nucl. Phys. 18, 395 (1960)
D.D. Slavinskas, T.J. Kennett, Nucl. Phys. 85, 641 (1966)
H.S. Camarda, Phys. Rev. C 49, 1391 (1994)
A. Volya, H.A. Weidenmüller, Vladimir Zelevinsky, Phys. Rev. Lett. 115, 052501 (2015)
V.V. Sokolov, Acta Phys. Pol. A 132, 1704 (2017)
n_TOF Collaboration (K. Fraval et al.), Phys. Rev. C 89, 044609 (2014)
M. Gaudin, Nucl. Phys. 25, 447 (1961)
H.S. Camarda, P.D. Georgopulos, Phys. Rev. Lett. 50, 492 (1983)
Charles E. Porter, Nucl. Phys. 40, 167 (1963)
R. Capote, M. Herman, P. Obložinský et al., Nucl. Data Sheets 110, 3107 (2009)
H.I. Liou, J. Rainwater, Phys. Rev. C 6, 435 (1972)
H.V. Muradyan, Yu.V. Adamchuk, Nucl. Phys. 68, 549 (1965)
H.I. Liou, G. Hacken, F. Rahn et al., Phys. Rev. C 10, 709 (1974)
H.I. Liou, H.S. Camarda, S. Wynchank et al., Phys. Rev. C 5, 974 (1972)
H.S. Camarda, H.I. Liou, G. Hacken et al., Phys. Rev. C 8, 1813 (1973)
H.I. Liou, H.S. Camarda, G. Hacken et al., Phys. Rev. C 7, 823 (1973)
H.I. Liou, G. Hacken, J. Rainwater et al., Phys. Rev. C 11, 462 (1975)
L.M. Bollinger, G.E. Thomas, Phys. Rev. 171, 1293 (1968)
F. Gunsing, A. Leprêtre, C. Mounier et al., Phys. Rev. C 61, 054608 (2000)
n_TOF Collaboration (F. Gunsing et al.), Phys. Rev. C 85, 064601 (2012)
n_TOF Collaboration (J. Lerendegui-Marco et al.), Phys. Rev. C 97, 024605 (2018)
S.I. Sukhoruchkin, Z.N. Soroko, V.V. Deriglazov, Low Energy Neutron Physics - Tables of Neutron Resonance Parameters, edited by H. Schopper (Springer, Landolt-Börnstein, 2004)
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Gunsing, F. Resonances in neutron-induced reactions. Eur. Phys. J. Plus 133, 440 (2018). https://doi.org/10.1140/epjp/i2018-12306-5
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DOI: https://doi.org/10.1140/epjp/i2018-12306-5