Skip to main content
Log in

Structure models: From shell model to ab initio methods

A brief introduction to microscopic theories for exotic nuclei

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

Abstract.

A brief review of models to describe nuclear structure and reactions properties is presented, starting from the historical shell model picture and encompassing modern ab initio approaches. A selection of recent theoretical results on observables for exotic light and medium-mass nuclei is shown. Emphasis is given to the comparison with experiment and to what can be learned about three-body forces and continuum properties.

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. S.R. Bean, E. Chang, S. Cohen, W. Detmold, H.W. Lin, K. Orginos, A. Parreño, M.J. Savage, B.C. Tiburzi, Phys. Rev. Lett. 113, 252001 (2014)

    Article  ADS  Google Scholar 

  2. S.R. Bean, E. Chang, S. Cohen, W. Detmold, H.W. Lin, T.C. Luu, K. Orginos, A. Parreño, M.J. Savage, A. Walker-Loud, Phys. Rev. D 87, 034506 (2013)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  4. R. Machleidt, D.R. Entem, Phys. Rep. 503, 1 (2011) and references therein

    Article  ADS  Google Scholar 

  5. E. Epelbaum, U.-G. Meißner, Annu. Rev. Nucl. Part. Sci. 62, 159 (2012) and references therein

    Article  ADS  Google Scholar 

  6. W. Leidemann, G. Orlandini, Prog. Part. Nucl. Phys. 68, 158 (2013)

    Article  ADS  Google Scholar 

  7. S. Bacca, S. Pastore, J. Phys. G: Nucl. Part. Phys. 41, 123002 (2014)

    Article  Google Scholar 

  8. K. Hebeler, J.D. Holt, J. Menendez, A. Schwenk, Annu. Rev. Nucl. Part. Sci. 65, 457 (2015)

    Article  ADS  Google Scholar 

  9. S. Binder, A. Calci, E. Epelbaum, R.J. Furnstahl, J. Golak, K. Hebeler, H. Kamada, H. Krebs, J. Langhammer, S. Liebig, P. Maris, U.-G. Meißner, D. Minossi, A. Nogga, H. Potter, R. Roth, R. Skibinski, K. Topolnicki, J.P. Vary, H. Witala, arXiv:1505.07218 (2015)

  10. C.F. von Weizsäcker, Z. Phys. 96, 431 (1935)

    Article  Google Scholar 

  11. K.S. Krane, Introductory Nuclear Physics (John Wiley & Sons, Inc., 1988)

  12. J. Suhonen, From Nucleons to Nucleus (Springer, 2010) p. 118

  13. M. Goppert Mayer, Phys. Rev. 75, 1969 (1949)

    Article  ADS  Google Scholar 

  14. M. Goppert Mayer, H. Jensen, Elementary Theory of Nuclear Shell Structure (Wiley, New York, 1955)

  15. K. Tsukiyama, S.K. Bogner, A. Schwenk, Phys. Rev. C 85, 061304(R) (2012)

    Article  ADS  Google Scholar 

  16. S.K. Bogner, H. Hergert, J.D. Holt, A. Schwenk, S. Binder, A. Calci, J. Langhammer, R. Roth, Phys. Rev. Lett. 113, 142501 (2014)

    Article  ADS  Google Scholar 

  17. G.R. Jansen, A. Signoracci, G. Hagen, P. Navrátil, arXiv:1511.00757

  18. S.R. Stroberg, H. Hergert, J.D. Holt, S.K. Bogner, A. Schwenk, arXiv:1511.02802

  19. S. Cohen, D. Kurath, Nucl. Phys. A 73, 1 (1965)

    Article  Google Scholar 

  20. B.A. Brown, W.A. Richter, Phys. Rev. C 74, 034315 (2006)

    Article  ADS  Google Scholar 

  21. M.T. Honma, T. Otsuka, B.A. Brown, T. Mizusaki, Phys. Rev. C 69, 034335 (2004)

    Article  ADS  Google Scholar 

  22. A. Poves et al., Nucl. Phys. A 694, 157 (2001)

    Article  ADS  Google Scholar 

  23. B.A. Brown, Lecture notes, http://nuclear.fis.ucm.es/PDFN/documentos/BAB-lecture-notes-NUCLEAR-PHYSICS.pdf

  24. A. Poves, Lecture notes at TRIUMF Summer Institute 2015, http://tsi.triumf.ca/2015/slides/Poves1.pdf and subsequent lectures

  25. B.A. Brown, Prog. Part. Nucl. Phys. 47, 517 (2001)

    Article  ADS  Google Scholar 

  26. E. Caurier, G. Martínez-Pinedo, F. Nowacki, A. Poves, A.P. Zuker, Rev. Mod. Phys. 77, 427 (2005)

    Article  ADS  Google Scholar 

  27. T. Otsuka, Phys. Scr. T152, 014007 (2013)

    Article  ADS  Google Scholar 

  28. L. Coraggio, A. Covello, A. Gargano, N. Itaco, T.T.S. Kuo, Ann. Phys. (N.Y.) 327, 2125 (2012)

    Article  ADS  Google Scholar 

  29. L. Coraggio, A. Covello, A. Gargano, N. Itaco, Nucl. Phys. A 928, 43 (2014)

    Article  ADS  Google Scholar 

  30. D. Gazit, S. Quaglioni, P. Navrátil, Phys. Rev. Lett. 103, 102502 (2009)

    Article  ADS  Google Scholar 

  31. L. E. Marcucci, A. Kievsky, S. Rosati, R. Schiavilla, M. Viviani, Phys. Rev. Lett. 108, 052502 (2012)

    Article  ADS  Google Scholar 

  32. A. Ekström, G.R. Jansen, K.A. Wendt, G. Hagen, T. Papenbrock, B.D. Carlsson, C. Forssen, M. Hjorth-Jensen, P. Navrátil, W. Nazarewicz, Phys. Rev. C 91, 051301(R) (2015)

    Article  ADS  Google Scholar 

  33. T.-S. Park, L.E. Marcucci, R. Schiavilla, M. Viviani, A. Kievsky, S. Rosati, K. Kubodera, D.-P. Min, M. Rho, Phys. Rev. C 67, 055206 (2003)

    Article  ADS  Google Scholar 

  34. S. Pastore, R. Schiavilla, J.L. Goity, Phys. Rev. C 78, 064002 (2008)

    Article  ADS  Google Scholar 

  35. S. Pastore, L. Girlanda, R. Schiavilla, M. Viviani, R.B. Wiringa, Phys. Rev. C 80, 034004 (2009)

    Article  ADS  Google Scholar 

  36. S. Kölling, E. Epelbaum, H. Krebs, U.-G. Meißner, Phys. Rev. C 80, 045502 (2009)

    Article  ADS  Google Scholar 

  37. S. Kölling, E. Epelbaum, H. Krebs, U.-G. Meißner, Phys. Rev. C 84, 054008 (2011)

    Article  ADS  Google Scholar 

  38. S. Weinberg, Phys. Lett. B 251, 288 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  39. O.A. Yakubovsky, Sov. J. Nucl. Phys. 5, 937 (1967)

    Google Scholar 

  40. M. Viviani, L.E. Marcucci, S. Rosati, A. Kievsky, L. Girlanda, Few-Body Syst. 39, 159 (2006)

    Article  ADS  Google Scholar 

  41. A. Kievsky, S. Rosati, M. Viviani, L.E. Marcucci, L. Girlanda, J. Phys. G 35, 063101 (2008)

    Article  ADS  Google Scholar 

  42. B.R. Barrett, P. Navrátil, J.P. Vary, Prog. Part. Nucl. Phys. 69, 131 (2013)

    Article  ADS  Google Scholar 

  43. P. Navrátil, S. Quaglioni, I. Stetcu, B.R. Barrett, J. Phys. G: Nucl. Part. Phys. 36, 083101 (2009)

    Article  ADS  Google Scholar 

  44. N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. C 61, 054001 (2000)

    Article  ADS  Google Scholar 

  45. N. Barnea, W. Leidemann, G. Orlandini, Nucl. Phys. A 693, 565 (2001)

    Article  ADS  Google Scholar 

  46. S.C. Pieper, R.B. Wiringa, Annu. Rev. Nucl. Part. Sci. 51, 53 (2001)

    Article  ADS  Google Scholar 

  47. A. Lovato, S. Gandolfi, R. Butler, J. Carlson, E. Lusk, S.C. Pieper, R. Schiavilla, Phys. Rev. Lett. 111, 092501 (2013)

    Article  ADS  Google Scholar 

  48. S. Gandolfi, F. Pederiva, S. Fantoni, K.E. Schmidt, Phys. Rev. Lett. 99, 022507 (2007)

    Article  ADS  Google Scholar 

  49. R. Roth, J. Langhammer, A. Calci, S. Binder, P. Navrátil, Phys. Rev. Lett. 107, 072501 (2011)

    Article  ADS  Google Scholar 

  50. G. Hagen, T. Papenbrock, D. Dean, M. Hjorth-Jensen, Phys. Rev. C 82, 034330 (2010)

    Article  ADS  Google Scholar 

  51. G. Hagen, T. Papenbrock, M. Hjorth-Jensen, D. Dean, Rep. Prog. Phys. 77, 096302 (2014)

    Article  ADS  Google Scholar 

  52. T. Neff, H. Feldmeier, Eur. Phys. J. ST 156, 69 (2008)

    Article  Google Scholar 

  53. K. Tsukiyama, S.K. Bogner, A. Schwenk, Phys. Rev. C 85, 061304 (2012)

    Article  ADS  Google Scholar 

  54. H. Hergert, S. Binder, A. Calci, J. Langhammer, R. Roth, Phys. Rev. Lett. 110, 242501 (2013)

    Article  ADS  Google Scholar 

  55. A. Cipollone, C. Barbieri, P. Navŕatil, Phys. Rev. Lett. 111, 062501 (2013)

    Article  ADS  Google Scholar 

  56. E. Epelbaum, H. Krebs, T.A. Lähde, D. Lee, U.-G. Meissner, G. Rupak, Phys. Rev. Lett. 112, 102501 (2014)

    Article  ADS  Google Scholar 

  57. S. Bacca, N. Barnea, A. Schwenk, Phys. Rev. C 86, 034321 (2012)

    Article  ADS  Google Scholar 

  58. N. Barnea, Exact Solution of the Schrödinger Equation and Faddeev Equation for Few Body Systems, PhD Thesis, Hebrew University, Jerusalem (1997)

  59. N. Barnea, A. Novoselsky, Ann. Phys. (N.Y.) 256, 192 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  60. N. Barnea, A. Novoselsky, Phys. Rev. A 57, 48 (1998)

    Article  ADS  Google Scholar 

  61. B. Jonson, Phys. Rep. 389, 1 (2004)

    Article  ADS  Google Scholar 

  62. M. Brodeur, T. Brunner, C. Champagne, S. Ettenauer, M.J. Smith, A. Lapierre, R. Ringle, V.L. Ryjkov, S. Bacca, P. Delheij, G.W.F. Drake, D. Lunney, A. Schwenk, J. Dilling, Phys. Rev. Lett. 108, 052504 (2012)

    Article  ADS  Google Scholar 

  63. L.B. Wang, P. Mueller, K. Bailey, G.W.F. Drake, J.P. Greene, D. Henderson, R.J. Holt, R.V.F. Janssens, C.L. Jiang, Z.-T. Lu, T.P. O’Connor, R.C. Pardo, K.E. Rehm, K.E. Schiffer, X.D. Tang, Phys. Rev. Lett. 93, 142501 (2004)

    Article  ADS  Google Scholar 

  64. A. Ong, J.C. Berengut, V.V. Flambaum, Phys. Rev. C 82, 014320 (2010)

    Article  ADS  Google Scholar 

  65. J. L. Friar, J. Martorell, D.W.L. Sprung, Phys. Rev. A 56, 4579 (1997)

    Article  ADS  Google Scholar 

  66. Particle Data Group (K. Nakamura et al.), J. Phys. G 37, 075021 (2010)

    Article  ADS  Google Scholar 

  67. R. Pohl, A. Antognini, F. Nez, F.D. Amaro, F. Biraben, J.M.R. Cardoso, D.S. Covita, A. Dax, S. Dhawan, L.M.P. Fernandes, A. Giesen, T. Graf, Th.W. Hänsch, P. Indelicato, L. Julien, C.-Y. Kao, P. Knowles, E.-O. Le Bigot, Y.-W. Liu, J.M. Lopes, L. Ludhova, C.M.B. Monteiro, F. Mulhauser, T. Nebel, P. Rabinowitz, J.M.F. dos Santos, L.A. Schaller, K. Schuhmann, C. Schwob, D. Taqqu, J.F.C.A. Veloso, F. Kottmann, Nature 466, 213 (2010)

    Article  ADS  Google Scholar 

  68. S.C. Pieper, Riv. Nuovo Cimento 31, 709 (2008)

    Google Scholar 

  69. S.K. Bogner, R.J. Furnstahl, A. Schwenk, Prog. Part. Nucl. Phys. 65, 94 (2010)

    Article  ADS  Google Scholar 

  70. T. Neff, H. Feldmeier, R. Roth, Nucl. Phys. A 752, 321c (2005)

    Article  ADS  Google Scholar 

  71. E. Caurier, P. Navratil, Phys. Rev. C 73, 021302 (2006)

    Article  ADS  Google Scholar 

  72. I. Brida, F.M. Nunes, Nucl. Phys. A 847, 1 (2010)

    Article  ADS  Google Scholar 

  73. S. Quaglioni, C. Romero-Redondo, P. Navrátil, Phys. Rev. C 88, 034320 (2013)

    Article  ADS  Google Scholar 

  74. C. Romero-Redondo, S. Quaglioni, P. Navrátil, G. Hupin, Phys. Rev. Lett. 113, 032503 (2014)

    Article  ADS  Google Scholar 

  75. F. Coester, Nucl. Phys. 7, 421 (1958)

    Article  Google Scholar 

  76. F. Coester, H. Kümmel, Nucl. Phys. 17, 477 (1960)

    Article  Google Scholar 

  77. I. Shavitt, R.J. Bartlett, Many-Body Methods in Chemistry and Physics (Cambridge University Press, Cambridge, UK, 2009) pp. 255--256

  78. D.R. Entem, R. Machleidt, Phys. Rev. C 68, 041001 (2003)

    Article  ADS  Google Scholar 

  79. G. Hagen, D.J. Dean, M. Hjorth-Jensen, T. Papenbrock, A. Schwenk, Phys. Rev. C 76, 044305 (2007)

    Article  ADS  Google Scholar 

  80. G.R. Jansen, Phys. Rev. C 88, 054323 (2014)

    Google Scholar 

  81. T. Otsuka, T. Suzuki, J.D. Holt, A. Schwenk, Y. Akaishi, Phys. Rev. Lett. 105, 032501 (2010)

    Article  ADS  Google Scholar 

  82. E.D. Jurgenson, P. Navrátil, R.J. Furnstahl, Phys. Rev. Lett. 103, 082501 (2009)

    Article  ADS  Google Scholar 

  83. R. Roth, A. Calci, J. Langhammer, S. Binder, Phys. Rev. C 90, 024325 (2014)

    Article  ADS  Google Scholar 

  84. A.T. Gallant, J.C. Bale, T. Brunner, U. Chowdhury, S. Ettenauer, A. Lennarz, D. Robertson, V.V. Simon, A. Chaudhuri, J.D. Holt, A.A. Kwiatkowski, E. Mane, J. Menendez, B.E. Schultz, M.C. Simon, C. Andreoiu, P. Delheij, M.R. Pearson, H. Savajols, A. Schwenk, J. Dilling, Phys. Rev. Lett. 109, 032506 (2012)

    Article  ADS  Google Scholar 

  85. J.D. Holt, T. Otsuka, A. Schwenk, T. Suzuki, J. Phys. G 39, 085111 (2012)

    Article  ADS  Google Scholar 

  86. N. Itaco, L. Coraggio, A. Covello, A. Gargano, J. Phys.: Conf. Ser. 580, 012029 (2015)

    ADS  Google Scholar 

  87. L. Coraggio, A. Covello, A. Gargano, N. Itaco, Phys. Rev. C 80, 044311 (2009)

    Article  ADS  Google Scholar 

  88. F. Wienholtz, D. Beck, K. Blaum, Ch. Borgmann, M. Breitenfeldt, R.B. Cakirli, S. George, F. Herfurth, J.D. Holt, M. Kowalska, S. Kreim, D. Lunney, V. Manea, J. Menendez, D. Neidherr, M. Rosenbusch, L. Schweikhard, A. Schwenk, J. Simonis, J. Stanja, R.N. Wolf, K. Zuber, Nature 498, 346 (2013)

    Article  ADS  Google Scholar 

  89. G. Hagen, M. Hjorth-Jensen, G.R. Jansen, R. Machleidt, T. Papenbrock, Phys. Rev. Lett. 109, 032502 (2012)

    Article  ADS  Google Scholar 

  90. V. Somá, A. Cipollone, C. Barbieri, P. Navrátil, T. Duguet, Phys. Rev. C 89, 061301(R) (2014)

    Article  ADS  Google Scholar 

  91. H. Hergert, S.K. Bogner, T.D. Morris, S. Binder, A. Calci, J. Langhammer, R. Roth, Phys. Rev. C 90, 041302(R) (2014)

    Article  ADS  Google Scholar 

  92. V.D. Efros, W. Leidemann, G. Orlandini, N. Barnea, J. Phys. G.: Nucl. Part. Phys. 34, R459 (2007)

    Article  ADS  Google Scholar 

  93. V.D. Efros, W. Leidemann, G. Orlandini, Few-Body Syst. 26, 251 (1999)

    Article  ADS  Google Scholar 

  94. D. Andreasi, W. Leidemann, C. Reiss, M. Schwamb, Eur. Phys. J. A 24, 361 (2005)

    Article  ADS  Google Scholar 

  95. V.D. Efros, W. Leidemann, G. Orlandini, Phys. Lett. B 338, 130 (1994)

    Article  ADS  Google Scholar 

  96. S. Della Monaca, V.D. Efros, A. Khugaev, W. Leidemann, G. Orlandini, E.L. Tomusiak, L.P. Yuan, Phys. Rev. C 77, 044007 (2008)

    Article  ADS  Google Scholar 

  97. I. Stetcu, S. Quaglioni, S. Bacca, B.R. Barrett, C.W. Johnson, P. Navrátil, N. Barnea, W. Leidemann, G. Orlandini, Nucl. Phys. A 785, 307 (2007)

    Article  ADS  Google Scholar 

  98. S. Bacca, M.A. Marchisio, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. Lett. 89, 052502 (2002)

    Article  ADS  Google Scholar 

  99. S. Bacca, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. C 69, 057001 (2004)

    Article  ADS  Google Scholar 

  100. T. Aumann et al., Phys. Rev. C 59, 1252 (1999)

    Article  ADS  Google Scholar 

  101. J. Wang, A. Galonsky, J.J. Kruse, E. Tryggestad, R.H. White-Stevens, P.D. Zecher, Y. Iwata, K. Ieki, A. Horvath, F. Deak, A. Kiss, Z. Seres, J.J. Kolata, J. von Schwarzenberg, R.E. Warner, H. Schelin, Phys. Rev. C 65, 034306 (2002)

    Article  ADS  Google Scholar 

  102. S. Bacca, N. Barnea, G. Hagen, G. Orlandini, T. Papenbrock, Phys. Rev. Lett. 111, 122502 (2013)

    Article  ADS  Google Scholar 

  103. S. Bacca, N. Barnea, G. Hagen, M. Miorelli, G. Orlandini, T. Papenbrock, Phys. Rev. C 90, 064619 (2014)

    Article  ADS  Google Scholar 

  104. G. Orlandini, S. Bacca, N. Barnea, G. Hagen, M. Miorelli, T. Papenbrock, Few-Body Syst. 55, 907 (2014)

    Article  ADS  Google Scholar 

  105. M. Miorelli, S. Bacca, N. Barnea, G. Hagen, G. Orlandini, T. Papenbrock, arXiv:1509.00265

  106. J. Ahrens, H. Borchert, K.H. Czock, H.B. Eppler, H. Gimm, H. Gundrum, M. Krning, P. Riehn, G. Sita Ram, A. Zieger, B. Ziegler, Nucl. Phys. A 251, 479 (1975)

    Article  ADS  Google Scholar 

  107. M. Goldhaber, E. Teller, Phys. Rev. 74, 1046 (1948)

    Article  ADS  Google Scholar 

  108. H. Steinwedel, J.H.D Jensen, Z. Naturforsch. 5A, 413 (1950)

    ADS  Google Scholar 

  109. J. Erler, P. Kluepfel, P.-G. Reinhard, J. Phys. G: Nucl. Part. Phys. 38, 033101 (2011)

    Article  ADS  Google Scholar 

  110. G. Hagen, A. Ekström, C. Forssén, G.R. Jansen, W. Nazarewicz, T. Papenbrock, K.A. Wendt, S. Bacca, N. Barnea, B. Carlsson, C. Drischler, K. Hebeler, M. Hjorth-Jensen, M. Miorelli, G. Orlandini, A. Schwenk, J. Simonis, Nat. Phys. 12, 186 (2015) DOI:10.1038/nphys3529

    Article  Google Scholar 

  111. A. Leistenschneider et al., Phys. Rev. Lett. 86, 5442 (2001)

    Article  ADS  Google Scholar 

  112. T. Aumann, private communication

  113. http://exotic2015.df.unipi.it

  114. R. Kanungo, A. Sanetullaev, J. Tanaka, S. Ishimoto, G. Hagen, T. Myo, T. Suzuki, C. Andreoiu, P. Bender, A.A. Chen, B. Davids, J. Fallis, J.P. Fortin, N. Galinski, A.T. Gallant, P.E. Garrett, G. Hackman, B. Hadinia, G. Jansen, M. Keefe, R. Krücken, J. Lighthall, E. McNeice, D. Miller, T. Otsuka, J. Purcell, J.S. Randhawa, T. Roger, A. Rojas, H. Savajols, A. Shotter, I. Tanihata, I.J. Thompson, C. Unsworth, P. Voss, Z. Wang, Phys. Rev. Lett. 114, 192502 (2015)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sonia Bacca.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bacca, S. Structure models: From shell model to ab initio methods. Eur. Phys. J. Plus 131, 107 (2016). https://doi.org/10.1140/epjp/i2016-16107-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2016-16107-6

Keywords

Navigation