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Light and unbound nuclei

An introduction to ab initio methods in nuclear structure and reaction theory

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Abstract.

Light nuclei display a wide variety of phenomena: from stable bound states, to rare unstable isotopes and transient resonances, to mutual dynamical interactions during a reaction. After an overview of these phenomena, basic formalism and concepts in ab initio nuclear structure and reaction theory are introduced, followed by selected examples of how powerful techniques for the description of the nuclear force and the solution of the nuclear quantum many-body problem combined with cutting-edge high-performance computing are enabling a comprehensive understanding of light exotic nuclei and thermonuclear reactions that play an important role in the Cosmos and on Earth.

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References

  1. A.S. Jensen, K. Riisager, D.V. Fedorov, E. Garrido, Rev. Mod. Phys. 76, 215 (2004)

    Article  ADS  Google Scholar 

  2. K.S. Krane, Introductory Nuclear Physics (John Wiley & sons, New York, Chichester, Brisbane, Toronto, Singapore, 1965)

  3. I. Talmi, I. Unna, Phys. Rev. Lett. 4, 469 (1960)

    Article  ADS  Google Scholar 

  4. I. Tanihata, H. Hamagaki, O. Hashimoto, Y. Shida, N. Yoshikawa, K. Sugimoto, O. Yamakawa, T. Kobayashi, N. Takahashi, Phys. Rev. Lett. 55, 2676 (1985)

    Article  ADS  Google Scholar 

  5. I. Tanihata, H. Hamagaki, O. Hashimoto, S. Nagamiya, Y. Shida, N. Yoshikawa, O. Yamakawa, K. Sugimoto, T. Kobayashi, D. Greiner et al., Phys. Lett. B 160, 380 (1985)

    Article  ADS  Google Scholar 

  6. E.E. Salpeter, Astrophyis. J. 115, 326 (1952)

    Article  ADS  Google Scholar 

  7. F. Hoyle, Astrophyis. J. Suppl. 1, 121 (1954)

    Article  ADS  Google Scholar 

  8. L. Buchmann, C. Barnes, Nucl. Phys. A 777, 254 (2006) Special Issue on Nuclear Astrophysics

    Article  ADS  Google Scholar 

  9. R.J. deBoer, J. Görres, M. Wiescher, R.E. Azuma, A. Best, C.R. Brune, C.E. Fields, S. Jones, M. Pignatari, D. Sayre et al., Rev. Mod. Phys. 89, 035007 (2017)

    Article  ADS  Google Scholar 

  10. E. Adelberger et al., Rev. Mod. Phys. 83, 195 (2011)

    Article  ADS  Google Scholar 

  11. E. Adelberger et al., Rev. Mod. Phys. 70, 1265 (1998)

    Article  ADS  Google Scholar 

  12. LUNA Collaboration (D. Bemmerer, F. Confortola, H. Costantini, A. Formicola, G. Gyürky, R. Bonetti, C. Broggini, P. Corvisiero, Z. Elekes, Z. Fülöp et al.), Phys. Rev. Lett. 97, 122502 (2006)

    Article  Google Scholar 

  13. P.D. Serpico, S. Esposito, F. Iocco, G. Mangano, G. Miele, O. Pisanti, JCAP 2004, 010 (2004)

    Article  Google Scholar 

  14. S. Kimura, A. Bonasera, Nucl. Phys. A 759, 229 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  19. E. Epelbaum, A. Nogga, W. Glöckle, H. Kamada, U.G. Meißner, H. Witala, Phys. Rev. C 66, 064001 (2002)

    Article  ADS  Google Scholar 

  20. E. Epelbaum, Phys. Lett. B 639, 456 (2006)

    Article  ADS  Google Scholar 

  21. R. Machleidt, F. Sammarruca, Phys. Scr. 91, 083007 (2016)

    Article  ADS  Google Scholar 

  22. D. Varshalovich, A. Moskalev, V. Khersonskiı, Quantum Theory of Angular Momentum (World Scientific Publishing Company, Incorporated, 1988)

  23. W. Greiner, Quantum Mechanics: An Introduction (Springer, New Delhi, 2004)

  24. W. Greiner, Quantum Mechanics: Special Chapters (Springer, Berlin, 1998)

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  32. L.E. Marcucci, A. Kievsky, L. Girlanda, S. Rosati, M. Viviani, Phys. Rev. C 80, 034003 (2009)

    Article  ADS  Google Scholar 

  33. H. Witala, W. Glöckle, J. Golak, A. Nogga, H. Kamada, R. Skibiński, J. Kuroś-Zolnierczuk, Phys. Rev. C 63, 024007 (2001)

    Article  ADS  Google Scholar 

  34. R. Lazauskas, J. Carbonell, Phys. Rev. C 70, 044002 (2004)

    Article  ADS  Google Scholar 

  35. R. Lazauskas, Phys. Rev. C 79, 054007 (2009)

    Article  ADS  Google Scholar 

  36. A. Deltuva, A.C. Fonseca, Phys. Rev. C 75, 014005 (2007)

    Article  ADS  Google Scholar 

  37. A. Deltuva, A.C. Fonseca, Phys. Rev. Lett. 98, 162502 (2007)

    Article  ADS  Google Scholar 

  38. P. Navrátil, G.P. Kamuntavičius, B.R. Barrett, Phys. Rev. C 61, 044001 (2000)

    Article  ADS  Google Scholar 

  39. M.A. Caprio, J.P. Vary, P. Maris, Phys. Rev. C 86, 034312 (2012)

    Article  ADS  Google Scholar 

  40. M.A. Caprio, P. Maris, J.P. Vary, Phys. Rev. C 90, 034305 (2014)

    Article  ADS  Google Scholar 

  41. N. Michel, W. Nazarewicz, M. Ploszajczak, J. Okolowicz, Phys. Rev. C 67, 054311 (2003)

    Article  ADS  Google Scholar 

  42. N. Michel, W. Nazarewicz, M. Ploszajczak, K. Bennaceur, Phys. Rev. Lett. 89, 042502 (2002)

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  46. T. Dytrych, K.D. Launey, J.P. Draayer, P. Maris, J.P. Vary, E. Saule, U. Catalyurek, M. Sosonkina, D. Langr, M.A. Caprio, Phys. Rev. Lett. 111, 252501 (2013)

    Article  ADS  Google Scholar 

  47. T. Abe, P. Maris, T. Otsuka, N. Shimizu, Y. Utsuno, J.P. Vary, Phys. Rev. C 86, 054301 (2012)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    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. Navrátil, Phys. Rev. Lett. 111, 062501 (2013)

    Article  ADS  Google Scholar 

  56. V. Somà, A. Cipollone, C. Barbieri, P. Navrátil, T. Duguet, Phys. Rev. C 89, 061301 (2014)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  58. P. Navrátil, J.P. Vary, B.R. Barrett, Phys. Rev. C 62, 054311 (2000)

    Article  ADS  Google Scholar 

  59. F. Wegner, Ann. Phys. 506, 77 (1994)

    Article  Google Scholar 

  60. S.K. Bogner, R.J. Furnstahl, R.J. Perry, Phys. Rev. C 75, 061001 (2007)

    Article  ADS  Google Scholar 

  61. S. Szpigel, R.J. Perry, The Similarity Renormalization Group, in Quantum Field Theory. A 20th Century Profile, edited by A.N. Mitra (Hindustan Publishing Co., New Delhi, 2000)

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

    Article  ADS  Google Scholar 

  63. S. Bogner, R. Furnstahl, A. Schwenk, Progr. Part. Nucl. Phys. 65, 94 (2010)

    Article  ADS  Google Scholar 

  64. N.M. Dicaire, C. Omand, P. Navrátil, Phys. Rev. C 90, 034302 (2014)

    Article  ADS  Google Scholar 

  65. M.D. Schuster, S. Quaglioni, C.W. Johnson, E.D. Jurgenson, P. Navrátil, Phys. Rev. C 90, 011301 (2014)

    Article  ADS  Google Scholar 

  66. M.D. Schuster, S. Quaglioni, C.W. Johnson, E.D. Jurgenson, P. Navrátil, Phys. Rev. C 92, 014320 (2015) arXiv:1304.5491

    Article  ADS  Google Scholar 

  67. E.D. Jurgenson, P. Navrátil, R.J. Furnstahl, Phys. Rev. C 83, 034301 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  69. G.P. Kamuntavicius, R.K. Kalinauskas, B.R. Barrett, S. Mickevicius, D. Germanas, Nucl. Phys. A 695, 191 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  71. K. Hebeler, Phys. Rev. C 85, 021002 (2012)

    Article  ADS  Google Scholar 

  72. K.A. Wendt, Phys. Rev. C 87, 061001 (2013)

    Article  ADS  Google Scholar 

  73. S. Bogner, R. Furnstahl, A. Schwenk, Progr. Part. Nucl. Phys. 65, 94 (2010)

    Article  ADS  Google Scholar 

  74. J.A. Wheeler, Phys. Rev. 52, 1083 (1937)

    Article  ADS  Google Scholar 

  75. K. Wildermuth, Y.C. Tang, A Unified Theory of the Nucleus (Vieweg, Braunschweig, 1977)

  76. Y. Tang, M. LeMere, D. Thompsom, Phys. Rep. 47, 167 (1978)

    Article  ADS  Google Scholar 

  77. T. Fliessbach, H. Walliser, Nucl. Phys. A 377, 84 (1982)

    Article  ADS  Google Scholar 

  78. K. Langanke, H. Friedrich, Advances in Nuclear Physics, edited by J.W. Negele, E. Vogt (Plenum Press, New York, 1986)

  79. R. Lovas, R. Liotta, A. Insolia, K. Varga, D. Delion, Phys. Rep. 294, 265 (1998)

    Article  ADS  Google Scholar 

  80. H.M. Hofmann, G.M. Hale, Phys. Rev. C 77, 044002 (2008)

    Article  ADS  Google Scholar 

  81. K. Wildermuth, T. Kanellopoulus, Nucl. Phys. 7, 150 (1958)

    Article  Google Scholar 

  82. S. Quaglioni, P. Navrátil, Phys. Rev. Lett. 101, 092501 (2008)

    Article  ADS  Google Scholar 

  83. S. Quaglioni, P. Navrátil, Phys. Rev. C 79, 044606 (2009)

    Article  ADS  Google Scholar 

  84. S. Baroni, P. Navrátil, S. Quaglioni, Phys. Rev. Lett. 110, 022505 (2013)

    Article  ADS  Google Scholar 

  85. S. Baroni, P. Navrátil, S. Quaglioni, Phys. Rev. C 87, 034326 (2013)

    Article  ADS  Google Scholar 

  86. G. Hupin, J. Langhammer, P. Navrátil, S. Quaglioni, A. Calci, R. Roth, Phys. Rev. C 88, 054622 (2013)

    Article  ADS  Google Scholar 

  87. G. Hupin, S. Quaglioni, P. Navrátil, Phys. Rev. C 90, 061601 (2014)

    Article  ADS  Google Scholar 

  88. K.M. Nollett, S.C. Pieper, R.B. Wiringa, J. Carlson, G.M. Hale, Phys. Rev. Lett. 99, 022502 (2007)

    Article  ADS  Google Scholar 

  89. J.E. Lynn, I. Tews, J. Carlson, S. Gandolfi, A. Gezerlis, K.E. Schmidt, A. Schwenk, Phys. Rev. Lett. 116, 062501 (2016)

    Article  ADS  Google Scholar 

  90. S. Elhatisari, D. Lee, G. Rupak, E. Epelbaum, H. Krebs, T.A. Lähde, T. Luu, U.G. Meißner, Nature 528, 111 (2015)

    Article  ADS  Google Scholar 

  91. G. Hagen, N. Michel, Phys. Rev. C 86, 021602 (2012)

    Article  ADS  Google Scholar 

  92. P. Navrátil, S. Quaglioni, G. Hupin, C. Romero-Redondo, A. Calci, Physica Scripta 91, 053002 (2016)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  94. S. Quaglioni, C. Romero-Redondo, P. Navrátil, G. Hupin, Phys. Rev. C 97, 034332 (2018)

    Article  ADS  Google Scholar 

  95. M. Hesse, J.M. Sparenberg, F. Van Raemdonck, D. Baye, Nucl. Phys. A 640, 37 (1998)

    Article  ADS  Google Scholar 

  96. M. Hesse, J. Roland, D. Baye, Nucl. Phys. A 709, 184 (2002)

    Article  ADS  Google Scholar 

  97. P. Descouvemont, C. Daniel, D. Baye, Phys. Rev. C 67, 044309 (2003)

    Article  ADS  Google Scholar 

  98. P. Descouvemont, E. Tursunov, D. Baye, Nucl. Phys. A 765, 370 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  100. J. Langhammer, P. Navrátil, S. Quaglioni, G. Hupin, A. Calci, R. Roth, Phys. Rev. C 91, 021301 (2015)

    Article  ADS  Google Scholar 

  101. A. Calci, P. Navrátil, R. Roth, J. Dohet-Eraly, S. Quaglioni, G. Hupin, Phys. Rev. Lett. 117, 242501 (2016)

    Article  ADS  Google Scholar 

  102. G. Hupin, S. Quaglioni, P. Navrátil, Phys. Rev. Lett. 114, 212502 (2015)

    Article  ADS  Google Scholar 

  103. T. Neff, Phys. Rev. Lett. 106, 042502 (2011)

    Article  ADS  Google Scholar 

  104. J. Dohet-Eraly, P. Navrátil, S. Quaglioni, W. Horiuchi, G. Hupin, F. Raimondi, Phys. Lett. B 757, 430 (2016)

    Article  ADS  Google Scholar 

  105. P. Navrátil, R. Roth, S. Quaglioni, Phys. Lett. B 704, 379 (2011)

    Article  ADS  Google Scholar 

  106. P. Navrátil, S. Quaglioni, Phys. Rev. Lett. 108, 042503 (2012)

    Article  ADS  Google Scholar 

  107. G.M. Hale, private communication

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  110. E.A. George, L.D. Knutson, Phys. Rev. C 59, 598 (1999)

    Article  ADS  Google Scholar 

  111. K.M. Nollett, R.B. Wiringa, R. Schiavilla, Phys. Rev. C 63, 024003 (2001)

    Article  ADS  Google Scholar 

  112. D. Tilley, C. Cheves, J. Godwin, G. Hale, H. Hofmann, J. Kelley, C. Sheu, H. Weller, Nucl. Phys. A 708, 3 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  114. C. Forssén, P. Navrátil, W.E. Ormand, E. Caurier, Phys. Rev. C 71, 044312 (2005)

    Article  ADS  Google Scholar 

  115. P. Navrátil, S. Quaglioni, Phys. Rev. Lett. 108, 042503 (2012)

    Article  ADS  Google Scholar 

  116. K.M. Nollett, Phys. Rev. C 63, 054002 (2001)

    Article  ADS  Google Scholar 

  117. J. Dohet-Eraly, P. Navrátil, S. Quaglioni, W. Horiuchi, G. Hupin, F. Raimondi, Phys. Lett. B 757, 430 (2016)

    Article  ADS  Google Scholar 

  118. M. Brodeur, T. Brunner, C. Champagne, S. Ettenauer, M.J. Smith, A. Lapierre, R. Ringle, V.L. Ryjkov, S. Bacca, P. Delheij et al., Phys. Rev. Lett. 108, 052504 (2012)

    Article  ADS  Google Scholar 

  119. 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 et al., Phys. Rev. Lett. 93, 142501 (2004)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  121. R. Schiavilla, R.B. Wiringa, Phys. Rev. C 65, 054302 (2002)

    Article  ADS  Google Scholar 

  122. S.D. Pieper, Riv. Nuovo Cimento 31, 709 (2008)

    Google Scholar 

  123. P. Navrátil, W.E. Ormand, Phys. Rev. C 68, 034305 (2003)

    Article  ADS  Google Scholar 

  124. E. Caurier, P. Navrátil, Phys. Rev. C 73, 021302 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  126. D. Sääf, C. Forssén, Phys. Rev. C 89, 011303 (2014)

    Article  ADS  Google Scholar 

  127. C. Constantinou, M.A. Caprio, J.P. Vary, P. Maris, Nucl. Sci. Techn. 28, 179 (2017)

    Article  Google Scholar 

  128. C. Romero-Redondo, S. Quaglioni, P. Navrátil, G. Hupin, Phys. Rev. Lett. 117, 222501 (2016)

    Article  ADS  Google Scholar 

  129. X. Mougeot, V. Lapoux, W. Mittig, N. Alamanos, F. Auger et al., Phys. Lett. B 718, 441 (2012)

    Article  ADS  Google Scholar 

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    Sofia Quaglioni

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Quaglioni, S. Light and unbound nuclei. Eur. Phys. J. Plus 133, 385 (2018). https://doi.org/10.1140/epjp/i2018-12238-0

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