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Clustering in Light Nuclei; from the Stable to the Exotic

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The Euroschool on Exotic Beams, Vol. IV

Part of the book series: Lecture Notes in Physics ((LNP,volume 879))

Abstract

One of the greatest challenges in nuclear science is the understanding of the structure of light nuclei both from an experimental and theoretical perspective. The theoretical frontier involves developing models that possess interactions that are either grown from QCD or a detailed understanding of the nucleon-nucleon interaction—ab initio or ab initio motivated approaches. Experimentally it is known that the structure of light nuclei is dominated by correlations and clusters. It is the intention of this review to unpick the present understanding the factors behind the emergence of clustering and the experimental evidence base. A range of models from the basic to the sophisticated, from harmonic oscillator to Chiral Effective Field theory are explored and key systems in which clustering plays a driving role are examined—most notably 12C. The evolution of clustering from stability to the drip-lines is described.

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References

  1. R.B. Wiringa, S.C. Pieper, J. Carlson, V.R. Pandharipande, Phys. Rev. C 62, 014001 (2000)

    ADS  Google Scholar 

  2. J. Fujita, H. Miyazawa, Prog. Theor. Phys. 17, 360 (1957)

    ADS  MATH  MathSciNet  Google Scholar 

  3. L.R. Hafstad, E. Teller, Phys. Rev. 54, 681 (1938)

    ADS  Google Scholar 

  4. H. Morinaga, Phys. Rev. 101, 254 (1956)

    ADS  Google Scholar 

  5. K. Ikeda, N. Tagikawa, H. Horiuchi, Prog. Theor. Phys. Suppl., extra number, 464 (1968)

    Google Scholar 

  6. W. von Oertzen, M. Freer, Y. Kanada En’yo, Phys. Rep. 432, 43 (2006)

    ADS  Google Scholar 

  7. N. Itagaki, W. von Oertzen, S. Okabe, Phys. Rev. C 74, 067304 (2006)

    ADS  Google Scholar 

  8. A. Bohr, B.R. Mottelson, Nuclear Structure, vol. II (Benjamin, Reading, 1975)

    Google Scholar 

  9. M. Freer, R.R. Betts, A.H. Wuosmaa, Nucl. Phys. A 587, 36 (1995)

    ADS  Google Scholar 

  10. W. Nazarewicz, J. Dobaczewski, Phys. Rev. Lett. 68, 154 (1992)

    ADS  Google Scholar 

  11. T. Bengtsson, M.E. Faber, G. Leander, P. Moller, M. Ploszajczak, I. Ragnarsson, S. Aberg, Phys. Scr. 24, 200 (1981)

    ADS  Google Scholar 

  12. W.D.M. Rae, Int. J. Mod. Phys. 3, 1343 (1988)

    ADS  Google Scholar 

  13. N. Itagaki, S. Aoyama, S. Okabe, K. Ikeda, Phys. Rev. C 70, 054307 (2004)

    ADS  Google Scholar 

  14. N. Itagaki, H. Masui, M. Ito, S. Aoyama, Phys. Rev. C 71, 064307 (2005)

    ADS  Google Scholar 

  15. H. Masui, N. Itagaki, Phys. Rev. C 75, 054309 (2007)

    ADS  Google Scholar 

  16. R.E. Peierls, J. Yoccoz, Proc. Phys. Soc. Lond. A 70, 381 (1957)

    ADS  MATH  MathSciNet  Google Scholar 

  17. J.M. Blatt, Austr. Math. Soc. 1, 465 (1960)

    MATH  Google Scholar 

  18. H. Margenau, Phys. Rev. C 59, 37 (1941)

    ADS  MATH  Google Scholar 

  19. D.M. Brink, in Proceedings of the International School of Physics “Enrico Fermi”, Course 36, Varenna, 1965, ed. by C. Bloch (Academic Press, New York, 1966), p. 247

    Google Scholar 

  20. W. Bauhoff, H. Schultheis, R. Schultheis, Phys. Rev. C 29, 1046 (1984)

    ADS  Google Scholar 

  21. S. Marsh, W.D.M. Rae, Phys. Lett. B 180, 185 (1986)

    ADS  Google Scholar 

  22. A.C. Merchant, W.D.M. Rae, Nucl. Phys. A 549, 431 (1992)

    ADS  Google Scholar 

  23. J. Zhang, W.D.M. Rae, Nucl. Phys. A 564, 252 (1993)

    ADS  Google Scholar 

  24. J. Zhang, W.M.D. Rae, A.C. Merchant, Nucl. Phys. A 575, 61 (1994)

    ADS  Google Scholar 

  25. A. Tohsaki et al., Phys. Rev. Lett. 87, 192501 (2001)

    ADS  Google Scholar 

  26. Y. Funaki, A. Tohsaki, H. Horiuchi, P. Schuck, G. Röpke, Phys. Rev. C 67, 051306 (2003)

    ADS  Google Scholar 

  27. T. Yamada, P. Schuck, Phys. Rev. C 69, 024309 (2004)

    ADS  Google Scholar 

  28. G. Röpke, P. Schuck, Mod. Phys. Lett. A 21, 2513 (2006)

    ADS  Google Scholar 

  29. Y. Funaki, A. Tohsaki, H. Horiuchi, P. Schuck, G. Röpke, Eur. Phys. J. A 28, 259 (2006)

    ADS  Google Scholar 

  30. I. Sick, J.S. McCarthy, Nucl. Phys. A 150, 631 (1970)

    ADS  Google Scholar 

  31. A. Nakada, Y. Torizuka, Y. Horikawa, Phys. Rev. Lett. 27, 745 (1971) and 1102 (Erratum)

    ADS  Google Scholar 

  32. P. Strehl, Th.H. Schucan, Phys. Lett. B 27, 641 (1968)

    ADS  Google Scholar 

  33. J.A. Wheeler, Phys. Rev. 52, 1083 and 1107 (1937)

    ADS  MATH  Google Scholar 

  34. D.L. Hill, J.A. Wheeler, Phys. Rev. 89, 1102 (1953)

    ADS  MATH  Google Scholar 

  35. J.J. Griffin, J.A. Wheeler, Phys. Rev. 108, 311 (1957)

    ADS  MATH  Google Scholar 

  36. K. Wildermuth, W. McClure, in Cluster Representations of Nuclei. Springer Tracts in Modern Physics, vol. 41 (Springer, Berlin, 1966)

    Google Scholar 

  37. K. Wildermuth, Y.C. Tang, in A Unified Theory of the Nucleus (Academic Press, New York, 1977)

    Google Scholar 

  38. A. Arima, H. Horiuchi, K. Kubodera, N. Takigawa, Adv. Nucl. Phys. 5, 345 (1972) (Plenum, New York, 1972). Edited by Baranger M. and Vogt E.

    Google Scholar 

  39. H. Furutani, H. Kanada, T. Kaneko, S. Nagata, H. Nishioka, S. Okabe, S. Saito, T. Sakuda, M. Seya, Prog. Theor. Phys. Suppl. 68, 193 (1980)

    ADS  Google Scholar 

  40. Y.C. Tang, M. LeMere, D.R. Thompson, Phys. Rep. 47, 167 (1978)

    ADS  Google Scholar 

  41. K. Langanke, H. Friedrich, Adv. Nucl. Phys. 17, 223 (1987) (Plenum, New York, 1987). Edited by Negele J.W. and Vogt E.

    Google Scholar 

  42. K. Langanke, Adv. Nucl. Phys. 21, 85 (1994) (Plenum, New York, 1994). Edited by Negele J.W. and Vogt E.

    Google Scholar 

  43. D. Baye, P.-H. Heenen, Nucl. Phys. A 233, 304 (1974)

    ADS  Google Scholar 

  44. D. Baye, P.-H. Heenen, M. Liebert-Heinemann, Nucl. Phys. A 291, 230 (1977)

    ADS  Google Scholar 

  45. D. Baye, P. Descouvement, in Proceedings of the fifth International Conference on “Clustering aspects in nuclear and subnuclear systems”, Kyoto, Japan, 25th–29th July ed. by K. Ikeda, K. Katori, Y. Suzuki (1988), p. 103 [Supplement to the Journal of the Physical Society of Japan, vol. 58 (1989)]

    Google Scholar 

  46. D. Baye, in Proceedings of the Sixth International Conference on “Clusters in Nuclear Structure and Dynamics”, Strasbourg, France, 6th–9th September 1994, ed. by F. Haas (1994), p. 259

    Google Scholar 

  47. P. Descouvement, Nucl. Phys. A 699, 463 (2002)

    ADS  Google Scholar 

  48. N. Itagaki, S. Hirose, T. Otsuka, S. Okabe, K. Ikeda, Phys. Rev. C 65, 044302 (2002)

    ADS  Google Scholar 

  49. N. Itagaki, S. Okabe, Phys. Rev. C 61, 044306 (2000)

    ADS  Google Scholar 

  50. N. Itagaki, S. Okabe, K. Ikeda, Phys. Rev. C 62, 034301 (2000)

    ADS  Google Scholar 

  51. N. Itagaki et al., Phys. Rev. C 64, 014301 (2001)

    ADS  Google Scholar 

  52. M. Ito, Phys. Lett. B 636, 293 (2006)

    ADS  Google Scholar 

  53. L.D. Landau, E.M. Lifshitz, Quantum Mechanics, 3rd edn. (Elsevier, Butterworth–Heinemann, Amsterdam/Stoneham, 1958)

    MATH  Google Scholar 

  54. H. Nakamura, Nonadiabatic Transition (World Scientific, Singapore, 2000) and references therein

    Google Scholar 

  55. Y. Kanada-En’yo, H. Horiuchi, Prog. Theor. Phys. 142, 205 (2001)

    Google Scholar 

  56. R. Roth, T. Neff, H. Hergert, H. Feldmeier, Nucl. Phys. A 745, 3 (2004)

    ADS  Google Scholar 

  57. M. Chernykh, H. Feldmeier, T. Neff, von P. Neumann-Cosel, A. Richter, Phys. Rev. Lett. 98, 032501 (2007)

    ADS  Google Scholar 

  58. P. Navratil et al., J. Phys. G 36, 083101 (2009)

    ADS  Google Scholar 

  59. E. Epelbaum, Part. Nucl. Phys. 57, 654 (2006)

    ADS  Google Scholar 

  60. E. Epelbaum, H.-W. Hammer, U.-G. Meißner, Rev. Mod. Phys. 81, 1773 (2009)

    ADS  Google Scholar 

  61. P. Navrátil, J.P. Vary, B.R. Barrett, Phys. Rev. Lett. 84, 5728 (2000)

    ADS  Google Scholar 

  62. P. Navrátil, V. Gueorguiev, J.P. Vary, W.E. Ormand, A. Nogga, Phys. Rev. Lett. 99, 042501 (2007)

    ADS  Google Scholar 

  63. E. Epelbaum, H. Krebs, T.A. Lähde, D. Lee, U.-G. Meißner, Phys. Rev. Lett. 110, 112502 (2013)

    ADS  Google Scholar 

  64. E. Epelbaum, H. Krebs, T.A. Lähde, D. Lee, U.-G. Meißner, Phys. Rev. Lett. 109, 252501 (2012)

    ADS  Google Scholar 

  65. E. Epelbaum, H. Krebs, D. Lee, U.-G. Meißner, Phys. Rev. Lett. 106, 192501 (2011)

    ADS  Google Scholar 

  66. R. Bijker, F. Iachello, Phys. Rev. C 61, 067305 (2000)

    ADS  Google Scholar 

  67. M. Freer et al., Phys. Rev. C 76, 034320 (2007)

    ADS  Google Scholar 

  68. F. Hoyle, Astrophys. J. Suppl. Ser. 1, 12 (1954)

    ADS  Google Scholar 

  69. C.W. Cook et al., Phys. Rev. 107, 508 (1957)

    ADS  Google Scholar 

  70. G.M. Reynolds, D.E. Rundquist, M. Poichar, Phys. Rev. C 3, 442 (1971)

    ADS  Google Scholar 

  71. F.D. Smit et al., Phys. Rev. C 86, 03701 (2012)

    Google Scholar 

  72. M. Itoh et al., Nucl. Phys. A 738, 268 (2004)

    ADS  Google Scholar 

  73. M. Itoh et al., Phys. Rev. C 84, 054308 (2011)

    ADS  Google Scholar 

  74. M. Freer et al., Phys. Rev. C 86, 034320 (2012)

    ADS  Google Scholar 

  75. M. Freer et al., Phys. Rev. C 80, 041303(R) (2009)

    ADS  Google Scholar 

  76. W.R. Zimmerman, N.E. Destefano, M. Freer, M. Gai, F.D. Smit, Phys. Rev. C 84, 027304 (2011)

    ADS  Google Scholar 

  77. W.R. Zimmerman et al., Phys. Rev. Lett. 110, 152502 (2013)

    ADS  Google Scholar 

  78. M. Freer et al., Phys. Rev. C 83, 034314 (2011)

    ADS  Google Scholar 

  79. K.P. Artemov et al., Sov. J. Nucl. Phys. 52, 406 (1990)

    Google Scholar 

  80. G.V. Rogachev et al., Phys. Rev. C 64, 051302 (2001)

    ADS  Google Scholar 

  81. M. Freer, A.C. Merchant, J. Phys. G 23, 261 (1997)

    ADS  Google Scholar 

  82. M. Freer, Nucl. Instrum. Methods A 383, 463 (1996)

    ADS  Google Scholar 

  83. P.J. Haigh, Phys. Rev. C 79, 014302 (2009)

    ADS  Google Scholar 

  84. S. Aoyama, S. Mukai Kato, K. Ikeda, Prog. Theor. Phys. 93, 99 (1995)

    ADS  Google Scholar 

  85. M. Seya, M. Kohno, S. Nagata, Prog. Theor. Phys. 65, 204 (1981)

    ADS  Google Scholar 

  86. W. von Oertzen, Z. Phys. A 354, 37 (1996)

    ADS  Google Scholar 

  87. W. von Oertzen, Z. Phys. A 357, 355 (1997)

    ADS  Google Scholar 

  88. W. von Oertzen, Nuovo Cimento A 110, 895 (1997)

    ADS  Google Scholar 

  89. N. Itagaki, S. Okabe, Phys. Rev. C 61, 044306 (2000)

    ADS  Google Scholar 

  90. S.G. Nilsson, Mat. Fys. Medd. Dan. Vid. Selsk. 29, 16 (1955)

    Google Scholar 

  91. H.G. Bohlen, W. von Oertzen, A. Blazevic, B. Gebauer, M. Milin, T. Kokalova, Ch. Schulz, S. Thummerer, A. Tumino, in Proceedings of the International Symposium on Exotic Nuclei, Lake Baikal, Russia, 2001, ed. by Yu.E. Penionzhkevich, E.A. Cherepanov (World Scientific, Singapore, 2002), p. 453

    Google Scholar 

  92. Y. Kanada-En’yo, H. Horiuchi, A. Dóte, J. Phys. G 24, 1499 (1998)

    ADS  Google Scholar 

  93. J.A. Liendo et al., Phys. Rev. C 65, 034317 (2002)

    ADS  Google Scholar 

  94. N. Curtis et al., Phys. Rev. C 64, 044604 (2001)

    ADS  Google Scholar 

  95. M. Milin et al., Nucl. Phys. A 753, 263 (2005)

    ADS  Google Scholar 

  96. M. Freer et al., Phys. Rev. Lett. 96, 042501 (2006)

    ADS  Google Scholar 

  97. G. Rogachev, (2012), Private communication

    Google Scholar 

  98. E.A. McCutchan et al., Phys. Rev. C 86, 057306 (2012)

    ADS  Google Scholar 

  99. E.A. McCutchan et al., Phys. Rev. C 86, 014312 (2012)

    ADS  Google Scholar 

  100. H. Horiuchi, K. Ikeda, Prog. Theor. Phys. A 40, 277 (1968)

    ADS  Google Scholar 

  101. Y. Kanada En’yo, H. Horiuchi, Prog. Theor. Phys. 93, 115 (1995)

    ADS  Google Scholar 

  102. P.A. Butler, W. Nazarewicz, Rev. Mod. Phys. 68, 350 (1996)

    ADS  Google Scholar 

  103. W. von Oertzen, Eur. Phys. J. A 11, 403 (2001)

    ADS  Google Scholar 

  104. M. Kimura, Phys. Rev. C 75, 034312 (2007)

    ADS  Google Scholar 

  105. P. McEwan, M. Freer, J. Phys. G 30, 1 (2004)

    Google Scholar 

  106. N. Itagaki, T. Otsuka, K. Ikeda, S. Okabe, Phys. Rev. Lett. 92, 014301 (2004)

    Google Scholar 

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Acknowledgements

The author would like to acknowledge his many colleagues who have worked on the development of both experimental and theoretical ideas contained in this review.

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Freer, M. (2014). Clustering in Light Nuclei; from the Stable to the Exotic. In: Scheidenberger, C., Pfützner, M. (eds) The Euroschool on Exotic Beams, Vol. IV. Lecture Notes in Physics, vol 879. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45141-6_1

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