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From the liquid drop model to lattice QCD

A brief history of nuclear interactions

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Abstract.

The present article aims to give a concise account of the main developments in nuclear structure theory, from its origin in the 1930s to date, taking the modelling of inter-nucleon interactions as guideline.

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References

  1. W. Huang, G. Audi, M. Wang, F. Kondev, S. Naimi, X. Xu, Chin. Phys. C 41, 030002 (2017)

    Article  ADS  Google Scholar 

  2. B. Bally, private communication (2016)

  3. The 11 greatest unanswered questions of physics, https://doi.org/discovermagazine.com/2002/feb/cover

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

    Article  ADS  Google Scholar 

  5. A. Rios, V. Somà, Phys. Rev. Lett. 108, 012501 (2012)

    Article  ADS  Google Scholar 

  6. INDRA Collaboration (O. Lopez et al.), Phys. Rev. C 90, 064602 (2014)

    Article  ADS  Google Scholar 

  7. Wikipedia entry on nuclear structure, https://doi.org/en.wikipedia.org/wiki/Nuclear_structure

  8. M. Goeppert-Mayer, Phys. Rev. 75, 1969 (1949)

    Article  ADS  Google Scholar 

  9. O. Haxel, J.H.D. Jensen, H.E. Suess, Phys. Rev. 75, 1766 (1949)

    Article  ADS  Google Scholar 

  10. T. Duguet, H. Hergert, J.D. Holt, V. Somà, Phys. Rev. C 92, 034313 (2015)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. 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 

  13. G.R. Jansen, J. Engel, G. Hagen, P. Navratil, A. Signoracci, Phys. Rev. Lett. 113, 142502 (2014)

    Article  ADS  Google Scholar 

  14. M. Bender, P.H. Heenen, P.G. Reinhard, Rev. Mod. Phys. 75, 121 (2003)

    Article  ADS  Google Scholar 

  15. B. Bally, B. Avez, M. Bender, P.H. Heenen, Phys. Rev. Lett. 113, 162501 (2014)

    Article  ADS  Google Scholar 

  16. J.L. Egido, M. Borrajo, T.R. Rodríguez, Phys. Rev. Lett. 116, 052502 (2016)

    Article  ADS  Google Scholar 

  17. D. Lacroix, T. Duguet, M. Bender, Phys. Rev. C 79, 044318 (2009)

    Article  ADS  Google Scholar 

  18. M. Bender, T. Duguet, D. Lacroix, Phys. Rev. C 79, 044319 (2009)

    Article  ADS  Google Scholar 

  19. T. Duguet, M. Bender, K. Bennaceur, D. Lacroix, T. Lesinski, Phys. Rev. C 79, 044320 (2009)

    Article  ADS  Google Scholar 

  20. T. Duguet, M. Bender, J.P. Ebran, T. Lesinski, V. Somà, Eur. Phys. J. A 51, 162 (2015)

    Article  ADS  Google Scholar 

  21. J. Dobaczewski, J. Phys. G 43, 04LT01 (2016)

    Article  Google Scholar 

  22. N. Levinson, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd. 25, 9 (1949)

    Google Scholar 

  23. N. Ishii, S. Aoki, T. Hatsuda, Phys. Rev. Lett. 99, 022001 (2007)

    Article  ADS  Google Scholar 

  24. F. Coester, S. Cohen, B. Day, C.M. Vincent, Phys. Rev. C 1, 769 (1970)

    Article  ADS  Google Scholar 

  25. Z.H. Li, U. Lombardo, H.J. Schulze, W. Zuo, L.W. Chen, H.R. Ma, Phys. Rev. C 74, 047304 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  27. J. Carlson, S. Gandolfi, F. Pederiva, S.C. Pieper, R. Schiavilla, K.E. Schmidt, R.B. Wiringa, Rev. Mod. Phys. 87, 1067 (2015)

    Article  ADS  Google Scholar 

  28. B.S. Pudliner, V.R. Pandharipande, J. Carlson, S.C. Pieper, R.B. Wiringa, Phys. Rev. C 56, 1720 (1997)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  32. D. Lonardoni, F. Pederiva, arXiv:1711.07521 (2017)

  33. K. Hebeler, private communication (2013)

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

    Article  ADS  Google Scholar 

  35. S. Weinberg, Nucl. Phys. B 363, 3 (1991)

    Article  ADS  Google Scholar 

  36. U. van Kolck, Phys. Rev. C 49, 2932 (1994)

    Article  ADS  Google Scholar 

  37. C. Ordonez, L. Ray, U. van Kolck, Phys. Rev. Lett. 72, 1982 (1994)

    Article  ADS  Google Scholar 

  38. U.G. Meißner, Phys. Scr. 91, 033005 (2016)

    Article  ADS  Google Scholar 

  39. E. Epelbaum, H. Krebs, U.G. Meißner, Eur. Phys. J. A 51, 53 (2015)

    Article  ADS  Google Scholar 

  40. E. Epelbaum, H. Krebs, U.G. Meißner, Phys. Rev. Lett. 115, 122301 (2015)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  42. P. Navrátil, Few-Body Syst. 41, 117 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  44. R.J. Furnstahl, G. Hagen, T. Papenbrock, Phys. Rev. C 86, 031301 (2012)

    Article  ADS  Google Scholar 

  45. S.A. Coon, M.I. Avetian, M.K.G. Kruse, U. van Kolck, P. Maris, J.P. Vary, Phys. Rev. C 86, 054002 (2012)

    Article  ADS  Google Scholar 

  46. A. Tichai, J. Langhammer, S. Binder, R. Roth, Phys. Lett. B 756, 283 (2016)

    Article  ADS  Google Scholar 

  47. W.H. Dickhoff, C. Barbieri, Prog. Part. Nucl. Phys. 52, 377 (2004)

    Article  ADS  Google Scholar 

  48. A. Cipollone, C. Barbieri, P. Navrátil, Phys. Rev. C 92, 014306 (2015)

    Article  ADS  Google Scholar 

  49. T. Duguet, V. Somà, S. Lecluse, C. Barbieri, P. Navrátil, Phys. Rev. C 95, 034319 (2017)

    Article  ADS  Google Scholar 

  50. K. Kowalski, D. Dean, M. Hjorth-Jensen, T. Papenbrock, P. Piecuch, Phys. Rev. Lett. 92, 132501 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  52. H. Hergert, S.K. Bogner, T.D. Morris, A. Schwenk, K. Tsukiyama, Phys. Rep. 621, 165 (2016)

    Article  MathSciNet  ADS  Google Scholar 

  53. V. Somà, T. Duguet, C. Barbieri, Phys. Rev. C 84, 064317 (2011)

    Article  ADS  Google Scholar 

  54. A. Signoracci, T. Duguet, G. Hagen, G. Jansen, Phys. Rev. C 91, 064320 (2015)

    Article  ADS  Google Scholar 

  55. H. Hergert, Phys. Scr. 92, 023002 (2017)

    Article  ADS  Google Scholar 

  56. A. Tichai, P. Arthuis, T. Duguet, H. Hergert, V. Somà, R. Roth, Phys. Lett. B 786, 195 (2018)

    Article  ADS  Google Scholar 

  57. E. Gebrerufael, K. Vobig, H. Hergert, R. Roth, Phys. Rev. Lett. 118, 152503 (2017)

    Article  ADS  Google Scholar 

  58. A. Tichai, E. Gebrerufael, R. Roth, arXiv:1703.05664 (2017)

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

    Article  ADS  Google Scholar 

  60. A. Cipollone, C. Barbieri, P. Navrátil, Phys. Rev. Lett. 111, 062501 (2013)

    Article  ADS  Google Scholar 

  61. K. Hebeler, J. Holt, J. Menéndez, A. Schwenk, Annu. Rev. Nucl. Part. Sci. 65, 457 (2015)

    Article  ADS  Google Scholar 

  62. T.A. Lähde, E. Epelbaum, H. Krebs, D. Lee, U.G. Meißner, G. Rupak, Phys. Lett. B 732, 110 (2014)

    Article  ADS  Google Scholar 

  63. B. Long, Int. J. Mod. Phys. E 25, 1641006 (2016)

    Article  ADS  Google Scholar 

  64. R. Roth, Phys. Rev. C 79, 064324 (2009)

    Article  ADS  Google Scholar 

  65. N. Shimizu, T. Abe, Y. Tsunoda, Y. Utsuno, T. Yoshida, T. Mizusaki, M. Honma, T. Otsuka, Prog. Theor. Exp. Phys. 2012, 01A205 (2012)

    Article  Google Scholar 

  66. R. Schutski, J. Zhao, T.M. Henderson, G.E. Scuseria, J. Chem. Phys. 147, 184113 (2017)

    Article  ADS  Google Scholar 

  67. J.M. Yao, J. Engel, L.J. Wang, C.F. Jiao, H. Hergert, arXiv:1807.11053 (2018)

  68. Workshop of the Espace de Structure et réactions Nucléaires Théorique (ESNT), The tower of effective field theories and the emergence of the nuclear phenomena (2017) https://doi.org/esnt.cea.fr/Phocea/Page/index.php?id=71

  69. C. McIlroy, C. Barbieri, T. Inoue, T. Doi, T. Hatsuda, Phys. Rev. C 97, 021303 (2018)

    Article  ADS  Google Scholar 

  70. N. Ishii, S. Aoki, T. Hatsuda, PoS LATTICE2007, 146 (2007)

    Google Scholar 

  71. NPLQCD Collaboration (S.R. Beane et al.), Phys. Rev. D 87, 034506 (2013)

    Article  Google Scholar 

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Authors and Affiliations

  1. IRFU, CEA, Université Paris-Saclay, 91191, Gif-sur-Yvette, France

    Vittorio Somà

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  1. Vittorio Somà
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Somà, V. From the liquid drop model to lattice QCD. Eur. Phys. J. Plus 133, 434 (2018). https://doi.org/10.1140/epjp/i2018-12244-2

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