Skip to main content

Advertisement

Log in

Resonances in neutron-induced reactions

  • Review
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. N. Bohr, Nature 137, 344 (1936)

    Article  ADS  Google Scholar 

  2. J.R. Santisteban, L. Edwards, H.G. Priesmeyer et al., Appl. Phys. A 74, s1616 (2002)

    Article  ADS  Google Scholar 

  3. R.A. Alpher, H. Bethe, G. Gamow, Phys. Rev. 73, 803 (1948)

    Article  ADS  Google Scholar 

  4. E. Margaret Burbidge, G.R. Burbidge, William A. Fowler et al., Rev. Mod. Phys. 29, 547 (1957)

    Article  ADS  Google Scholar 

  5. George Wallerstein, Icko Iben, Peter Parker et al., Rev. Mod. Phys. 69, 995 (1997)

    Article  ADS  Google Scholar 

  6. F. Käppeler, R. Gallino, S. Bisterzo et al., Rev. Mod. Phys. 83, 157 (2011)

    Article  ADS  Google Scholar 

  7. S.E. Woosley, A. Heger, T.A. Weaver, Rev. Mod. Phys. 74, 1015 (2002)

    Article  ADS  Google Scholar 

  8. Stephane Goriely, Andreas Bauswein, Hans-Thomas Janka, Astrophys. J. 738, L32 (2011)

    Article  ADS  Google Scholar 

  9. Claude Bloch, Phys. Rev. 93, 1094 (1954)

    Article  ADS  Google Scholar 

  10. Torleif Ericson, Adv. Phys. 9, 425 (1960)

    Article  Google Scholar 

  11. J.R. Huizenga, L.G. Moretto, Annu. Rev. Nucl. Sci. 22, 427 (1972)

    Article  ADS  Google Scholar 

  12. A.S. Iljinov, M.V. Mebel, N. Bianchi et al., Nucl. Phys. A 543, 517 (1992)

    Article  ADS  Google Scholar 

  13. Till von Egidy, Dorel Bucurescu, Phys. Rev. C 72, 044311 (2005)

    Article  Google Scholar 

  14. H. Nakamura, T. Fukahori, Phys. Rev. C 72, 064329 (2005)

    Article  ADS  Google Scholar 

  15. S. Goriely, S. Hilaire, A.J. Koning, Phys. Rev. C 78, 064307 (2008)

    Article  ADS  Google Scholar 

  16. S.M. Qaim, J. Radioanal. Nucl. Chem. 305, 233 (2015)

    Article  Google Scholar 

  17. G. Aliberti et al., Nucl. Sci. Eng. 146, 13 (2004)

    Article  Google Scholar 

  18. A. Nuttin et al., Ann. Nucl. Energy 40, 171 (2012)

    Article  Google Scholar 

  19. H. Brysk, Plasma Phys. Controlled Fusion 15, 611 (1973)

    Article  Google Scholar 

  20. J. Eriksson et al., Comput. Phys. Commun. 199, 40 (2016)

    Article  MathSciNet  ADS  Google Scholar 

  21. A.J. Koning et al., J. Korean Phys. Soc. 59, 1057 (2011)

    Article  ADS  Google Scholar 

  22. M.B. Chadwick et al., Nucl. Data Sheets 112, 2887 (2011)

    Article  ADS  Google Scholar 

  23. K. Shibata, J. Nucl. Sci. Technol. 50, 449 (2013)

    Article  Google Scholar 

  24. A.M. Lane et al., Rev. Mod. Phys. 30, 257 (1958)

    Article  MathSciNet  ADS  Google Scholar 

  25. W.E. Lamb, Phys. Rev. 55, 190 (1939)

    Article  ADS  Google Scholar 

  26. I. Dillmann, KADoNiS v0.3, https://doi.org/www.kadonis.org (2009)

  27. N. Otuka et al., Nucl. Data Sheets 120, 272 (2014)

    Article  ADS  Google Scholar 

  28. N. Colonna, F. Gunsing, F. Käppeler, Prog. Part. Nucl. Phys. 101, 177 (2018)

    Article  ADS  Google Scholar 

  29. E. Bauge, J.P. Delaroche, M. Giro, Phys. Rev. C 63, 024607 (2001)

    Article  ADS  Google Scholar 

  30. G.L. Payne, L. Schlessinger, Phys. Rev. C 2, 1648 (1970)

    Article  ADS  Google Scholar 

  31. R. Shyam, O. Scholten, Phys. Rev. C 78, 065201 (2008)

    Article  ADS  Google Scholar 

  32. E.P. Wigner, L. Eisenbud, Phys. Rev. 72, 29 (1947)

    Article  ADS  Google Scholar 

  33. J.E. Lynn, The Theory of Neutron Resonance Reactions (Clarendon Press, Oxford, 1968)

  34. F. Fröhner, Tech. rep. JEFF Report 18, OECD/NEA (2000)

  35. P. Descouvemont, D. Baye, Rep. Prog. Phys. 73, 036301 (2010)

    Article  ADS  Google Scholar 

  36. J. Humblet, L. Rosenfeld, Nucl. Phys. 26, 529 (1961)

    Article  Google Scholar 

  37. E. Vogt, Rev. Mod. Phys. 34, 723 (1962)

    Article  ADS  Google Scholar 

  38. F. Schmittroth, W. Tobocman, Phys. Rev. C 3, 1010 (1971)

    Article  ADS  Google Scholar 

  39. D.B. Adler, F.T. Adler, Phys. Rev. C 6, 986 (1972)

    Article  ADS  Google Scholar 

  40. C. Chandler, W. Tobocman, Phys. Rev. C 19, 1660 (1979)

    Article  ADS  Google Scholar 

  41. T.A. Brody, J. Flores, J.B. French et al., Rev. Mod. Phys. 53, 385 (1981)

    Article  ADS  Google Scholar 

  42. J. Humblet, Phys. Rev. C 42, 1582 (1990)

    Article  ADS  Google Scholar 

  43. H. Feshbach, Theoretical Nuclear Physics

  44. A.A. Luk'yanov, N.B. Yaneva, Phys. Part. Nucl. 28, 331 (1997)

    Article  Google Scholar 

  45. C.R. Brune, Phys. Rev. C 66, 044611 (2002)

    Article  ADS  Google Scholar 

  46. M. Abramowitz, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover Publications, New York, 1965)

  47. D. Zwillinger, CRC Standard Mathematical Tables and Formulae (CRC Press, 2003)

  48. J.M. Blatt, L.C. Biedenharn, Rev. Mod. Phys. 24, 258 (1952)

    Article  ADS  Google Scholar 

  49. C.W. Reich, M.S. Moore, Phys. Rev. 111, 929 (1958)

    Article  ADS  Google Scholar 

  50. P.L. Kapur, R.E. Peierls, Proc. R. Soc. A 166, 277 (1938)

    Article  ADS  Google Scholar 

  51. R.N. Hwang, Nucl. Sci. Eng. 52, 157 (1973)

    Article  Google Scholar 

  52. M.L. Mehta, Nucl. Phys. 18, 395 (1960)

    Article  Google Scholar 

  53. M.L. Mehta, Random Matrices (Academic Press, 1991)

  54. S. Fernbach, R. Serber, T.B. Taylor, Phys. Rev. 75, 1352 (1949)

    Article  ADS  Google Scholar 

  55. H.S. Camarda, F.S. Dietrich, T.W. Phillips, Phys. Rev. C 39, 1725 (1989)

    Article  ADS  Google Scholar 

  56. H. Leeb, S. Wilmsen, Phys. Rev. C 62, 024602 (2000)

    Article  ADS  Google Scholar 

  57. F.S. Dietrich, J.D. Anderson, R.W. Bauer et al., Phys. Rev. C 67, 041301(R) (2003)

    Article  Google Scholar 

  58. R. Capote, E.S. Soukhovitskii, J.M. Quesada et al., Phys. Rev. C 72, 064610 (2005)

    Article  ADS  Google Scholar 

  59. J.M. Quesada, R. Capote, E.S. Soukhovitskii et al., Phys. Rev. C 76, 057602 (2007)

    Article  ADS  Google Scholar 

  60. W. Hauser, H. Feshbach, Phys. Rev. 87, 366 (1952)

    Article  ADS  Google Scholar 

  61. H. Feshbach, C.E. Porter, V.F. Weisskopf, Phys. Rev. 96, 448 (1954)

    Article  ADS  Google Scholar 

  62. P.E. Hodgson, Nuclear Reactions and Nuclear Structure (Clarendon Press, Oxford, 1971)

  63. P.A. Moldauer, Phys. Rev. C 11, 426 (1975)

    Article  ADS  Google Scholar 

  64. P.A. Moldauer, Phys. Rev. C 12, 744 (1975)

    Article  ADS  Google Scholar 

  65. P.A. Moldauer, Phys. Rev. C 14, 764 (1976)

    Article  ADS  Google Scholar 

  66. P.A. Moldauer, Nucl. Phys. A 344, 185 (1980)

    Article  ADS  Google Scholar 

  67. I. Sirakov, R. Capote, F. Gunsing et al., Ann. Nucl. Energy 35, 1223 (2008)

    Article  Google Scholar 

  68. J.J.M. Verbaarschot, H.A. Weidenmuller, M.R. Zirnbauer, Phys. Rep. 129, 367 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  69. J.J.M. Verbaarschot, Ann. Phys. 168, 368 (1986)

    Article  ADS  Google Scholar 

  70. M. Herman, R. Capote, B.V. Carlson et al., Nucl. Data Sheets 108, 2655 (2007)

    Article  ADS  Google Scholar 

  71. A.J. Koning, S. Hilaire, M. Duijvestijn, Technical report (2007)

  72. H. Feshbach, C.E. Porter, V.F. Weisskopf, Phys. Rev. 96, 448 (1954)

    Article  ADS  Google Scholar 

  73. G.E. Brown, Rev. Mod. Phys. 31, 893 (1959)

    Article  MathSciNet  ADS  Google Scholar 

  74. P.E. Hodgson, Rep. Prog. Phys. 34, 765 (1971)

    Article  ADS  Google Scholar 

  75. E.P. Wigner, Ann. Math. 62, 548 (1955)

    Article  MathSciNet  Google Scholar 

  76. E.P. Wigner, Ann. Math. 65, 203 (1957)

    Article  MathSciNet  Google Scholar 

  77. E.P. Wigner, Ann. Math. 67, 325 (1958)

    Article  MathSciNet  Google Scholar 

  78. F.J. Dyson, J. Math. Phys. 3, 140 (1962)

    Article  ADS  Google Scholar 

  79. F.J. Dyson, J. Math. Phys. 3, 157 (1962)

    Article  ADS  Google Scholar 

  80. F.J. Dyson, J. Math. Phys. 3, 166 (1962)

    Article  ADS  Google Scholar 

  81. F.J. Dyson, M.L. Mehta, J. Math. Phys. 4, 701 (1963)

    Article  ADS  Google Scholar 

  82. M.L. Mehta, F.J. Dyson, J. Math. Phys. 4, 713 (1963)

    Article  ADS  Google Scholar 

  83. O. Bohigas, M.J. Giannoni, C. Schmit, Phys. Rev. Lett. 52, 1 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  84. T.A. Brody, J. Flores, J.B. French et al., Rev. Mod. Phys. 53, 385 (1981)

    Article  ADS  Google Scholar 

  85. H.A. Weidenmüller, G.E. Mitchell, Rev. Mod. Phys. 81, 539 (2009)

    Article  ADS  Google Scholar 

  86. G.E. Mitchell, A. Richter, H.A. Weidenmüller, Rev. Mod. Phys. 82, 2845 (2010)

    Article  ADS  Google Scholar 

  87. M. Carmeli, J. Stat. Phys. 10, 259 (1974)

    Article  ADS  Google Scholar 

  88. J.B. French, Nucl. Phys. A 396, 87 (1983)

    Article  ADS  Google Scholar 

  89. C.E. Porter, R.G. Thomas, Phys. Rev. 104, 483 (1956)

    Article  ADS  Google Scholar 

  90. M.L. Mehta, Nucl. Phys. 18, 395 (1960)

    Article  Google Scholar 

  91. D.D. Slavinskas, T.J. Kennett, Nucl. Phys. 85, 641 (1966)

    Article  Google Scholar 

  92. H.S. Camarda, Phys. Rev. C 49, 1391 (1994)

    Article  ADS  Google Scholar 

  93. A. Volya, H.A. Weidenmüller, Vladimir Zelevinsky, Phys. Rev. Lett. 115, 052501 (2015)

    Article  ADS  Google Scholar 

  94. V.V. Sokolov, Acta Phys. Pol. A 132, 1704 (2017)

    Article  Google Scholar 

  95. n_TOF Collaboration (K. Fraval et al.), Phys. Rev. C 89, 044609 (2014)

    Article  ADS  Google Scholar 

  96. M. Gaudin, Nucl. Phys. 25, 447 (1961)

    Article  Google Scholar 

  97. H.S. Camarda, P.D. Georgopulos, Phys. Rev. Lett. 50, 492 (1983)

    Article  ADS  Google Scholar 

  98. Charles E. Porter, Nucl. Phys. 40, 167 (1963)

    Article  Google Scholar 

  99. R. Capote, M. Herman, P. Obložinský et al., Nucl. Data Sheets 110, 3107 (2009)

    Article  ADS  Google Scholar 

  100. H.I. Liou, J. Rainwater, Phys. Rev. C 6, 435 (1972)

    Article  ADS  Google Scholar 

  101. H.V. Muradyan, Yu.V. Adamchuk, Nucl. Phys. 68, 549 (1965)

    Article  Google Scholar 

  102. H.I. Liou, G. Hacken, F. Rahn et al., Phys. Rev. C 10, 709 (1974)

    Article  ADS  Google Scholar 

  103. H.I. Liou, H.S. Camarda, S. Wynchank et al., Phys. Rev. C 5, 974 (1972)

    Article  ADS  Google Scholar 

  104. H.S. Camarda, H.I. Liou, G. Hacken et al., Phys. Rev. C 8, 1813 (1973)

    Article  ADS  Google Scholar 

  105. H.I. Liou, H.S. Camarda, G. Hacken et al., Phys. Rev. C 7, 823 (1973)

    Article  ADS  Google Scholar 

  106. H.I. Liou, G. Hacken, J. Rainwater et al., Phys. Rev. C 11, 462 (1975)

    Article  ADS  Google Scholar 

  107. L.M. Bollinger, G.E. Thomas, Phys. Rev. 171, 1293 (1968)

    Article  ADS  Google Scholar 

  108. F. Gunsing, A. Leprêtre, C. Mounier et al., Phys. Rev. C 61, 054608 (2000)

    Article  ADS  Google Scholar 

  109. n_TOF Collaboration (F. Gunsing et al.), Phys. Rev. C 85, 064601 (2012)

    Article  Google Scholar 

  110. n_TOF Collaboration (J. Lerendegui-Marco et al.), Phys. Rev. C 97, 024605 (2018)

    Article  ADS  Google Scholar 

  111. 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)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to F. Gunsing.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gunsing, F. Resonances in neutron-induced reactions. Eur. Phys. J. Plus 133, 440 (2018). https://doi.org/10.1140/epjp/i2018-12306-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2018-12306-5

Navigation