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Few- and many-body methods in nuclear physics

Abstract.

In this contribution a brief overview of the status and perspectives of the theoretical methods for studying light and heavy nuclear systems is presented.

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References

  1. A. Richter, Nucl. Phys. A 751, 3c (2005).

    Article  ADS  Google Scholar 

  2. B.K. Jennings, A. Schwenk, nucl-th/0512013.

  3. V.G.J. Stoks, Phys. Rev. C 48, 792 (1993).

    Article  ADS  Google Scholar 

  4. V.G.J. Stoks, Phys. Rev. C 49, 1950 (1994).

    Article  Google Scholar 

  5. R.B. Wiringa, V.G.J. Stoks, R. Schiavilla, Phys. Rev. C 51, 38 (1995).

    Article  ADS  Google Scholar 

  6. R. Machleidt, Phys. Rev. C 63, 024001 (2001).

    Article  ADS  Google Scholar 

  7. P. Doleschall, I. Borbély, Phys. Rev. C 62, 054004 (2000)

    Article  ADS  Google Scholar 

  8. S. Weinberg, Physica A 96, 327 (1979)

    Article  ADS  Google Scholar 

  9. See, for example, J.D. Walecka, Theoretical Nuclear and Subnuclear Physics (Oxford University Press, New York, 1995).

  10. E. Epelbaum, W. Gloeckle, Ulf-G. Meissner, Nucl. Phys. A 747, 362 (2005).

    Article  ADS  Google Scholar 

  11. D.R. Entem, R. Machleidt, Phys. Rev. C 68, 041001 (2005) (2003).

    Article  ADS  Google Scholar 

  12. S.K. Bogner, T.T.S. Kuo, A. Schwenk, Phys. Rep. 386, 1 (2003).

    Article  ADS  Google Scholar 

  13. L. Coraggio, Phys. Rev. C 71, 014307.

  14. R. Roth, Nucl. Phys. A 745, 3 (2004)

    Article  ADS  Google Scholar 

  15. A.M. Shirokov, Phys. Rev. C 70, 044005 (2004).

    Article  ADS  Google Scholar 

  16. D. Rozpedzik, nucl-th/0606017.

  17. S.A. Coon, Nucl. Phys. A 317, 242 (1979).

    Article  ADS  Google Scholar 

  18. M.R. Robilotta, H.T. Coelho, Nucl. Phys. A 460, 645 (1986).

    Article  ADS  Google Scholar 

  19. B.S. Pudliner, Phys. Rev. C 56, 1720 (1997).

    Article  ADS  Google Scholar 

  20. J.L. Friar, D. Hüber, U. van Kolk, Phys. Rev. C 59, 53 (1999).

    Article  ADS  Google Scholar 

  21. E. Epelbaum, Phys. Rev. C 66, 064001 (2002).

    Article  ADS  Google Scholar 

  22. Ulf-G. Meissner, private communication.

  23. U. van Kolck, Phys. Rev. C 49, 2932 (1999).

    Article  Google Scholar 

  24. R.B. Wiringa, Phys. Rev. C 62, 074001 (2000).

    Article  ADS  Google Scholar 

  25. S.C. Pieper, Phys. Rev. C 64, 014001 (2001).

    Article  ADS  Google Scholar 

  26. See, for example, M. Baldo (Editor), Nuclear Methods and the Equation of State (World Scientific, Singapore, 1999).

  27. M. Baldo, Phys. Rev. C 65, 017303 (2002).

    Article  ADS  Google Scholar 

  28. W. Zuo, Caiwan Shen, U. Lombardo, Phys. Rev. C 67, 037301 (2003).

    Article  ADS  Google Scholar 

  29. M. Baldo, private communication.

  30. P. Bozek, P. Czerski, Acta Phys. Pol. B 34, 2759 (2003).

    ADS  Google Scholar 

  31. Kh. Gad, Eur. Phys, J. A 22, 405 (2004).

    Google Scholar 

  32. M. Baldo, C. Maieron, Phys. Rev. C 72, 034005 (2005).

    Article  ADS  Google Scholar 

  33. S. Fantoni, A. Fabrocini, Microscopic Quantum Many-Body Theories and Their Applications, Lect. Notes Phys., Vol. 510 (Springer-Verlag, Berlin, 1998).

  34. I. Bombaci, Phys. Lett. B 609, 232 (2005).

    Article  ADS  Google Scholar 

  35. K.W. Schmid, H. Müther, R. Machleidt, Nucl. Phys. A 530, 12 (1991).

    ADS  Google Scholar 

  36. W.H. Dickoff, C. Barbieri, Prog. Part. Nucl. Phys. 52, 377 (2004).

    Article  ADS  Google Scholar 

  37. G. Co', Nucl. Phys. A 549, 2 (1992).

    Google Scholar 

  38. C. Bisconti, Phys. Rev. C 73, 054304 (2006).

    Article  ADS  Google Scholar 

  39. A. Faessler, these proceedings.

  40. S. Fantoni, A. Sarsa, K.E. Schmmidt, Phys. Rev. Lett. 87, 181101 (2001).

    Article  ADS  Google Scholar 

  41. F. Pederiva, Nucl. Phys. A 742, 255 (2004).

    Article  ADS  Google Scholar 

  42. S. Gandolfi, Phys. Rev. C 73, 044704 (2006).

    Article  Google Scholar 

  43. S.K. Bogner, Nucl. Phys. A 763, 59 (2005).

    Article  ADS  Google Scholar 

  44. A. Nogga, S.K. Bogner, A. Schwenk, Phys. Rev. C 70, 061002(R) (2004).

    Article  ADS  Google Scholar 

  45. L. Coraggio, Phys. Rev. C 68, 034320 (2003).

    Article  ADS  Google Scholar 

  46. L. Coraggio, Phys. Rev. C 73, 014304 (2006).

    Article  ADS  Google Scholar 

  47. P. Guazzoni, Phys. Rev. C 69, 024619 (2004).

    Article  ADS  Google Scholar 

  48. R. Roth, Phys. Rev. C 73, 044312 (2006).

    Article  ADS  Google Scholar 

  49. See, for example, the Proceedings of the International Nuclear Physics Conference 2004, Goteborg (Sweden), in Nucl. Phys. A 751 (2005).

  50. H. Arenhoevel, nucl-th/0412039.

  51. W. Glöckle, Phys. Rep. 274, 107 (1996).

    Article  ADS  Google Scholar 

  52. N.W. Schellingerhout, J.J. Schut, L.P. Kok, Phys. Rev. C 46, 1192 (1992).

    Article  ADS  Google Scholar 

  53. A. Nogga, Phys. Rev. C 65, 054003 (2002).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  55. K. Varga, Y. Suzuki, Phys. Rev. C 52, 2885 (1995).

    Article  ADS  Google Scholar 

  56. Y. Suzuki, K. Varga, Stochastic Variational Approach to Quantum Mechanical Few-Body Problems (Springer-Verlag, 1998).

  57. H. Kameyama, M. Kamimura, Y. Fukushima, Phys. Rev. C 40, 974 (1989).

    Article  ADS  Google Scholar 

  58. M. Kamimura, H. Kameyama, Nucl. Phys. A 508, 17c (1990).

    Article  ADS  Google Scholar 

  59. A. Kievsky, S. Rosati, M. Viviani, Nucl. Phys. A 577, 511 (1994).

    Article  ADS  Google Scholar 

  60. M. Viviani, A. Kievsky, S. Rosati, Phys. Rev. C 71, 024006 (2005).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  62. P. Navrátil, W.E. Ormand, Phys. Rev. Lett. 88, 152502 (2002).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  64. N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. C 67, 054003 (2003).

    Article  ADS  Google Scholar 

  65. H. Kamada, Phys. Rev. C 64, 044001 (2001).

    Article  ADS  Google Scholar 

  66. M. Viviani, Few-Body Syst. 39, 159 (2006).

    Article  ADS  Google Scholar 

  67. A. Nogga, Phys. Rev. C 67, 034004 (2003).

    Article  ADS  Google Scholar 

  68. A. Deltuva, R. Machleidt, P.U. Sauer, Phys. Rev. C 68, 024005 (2003).

    Article  ADS  Google Scholar 

  69. P. Navrátil, E. Caurier, Phys. Rev. C 69, 014311 (2004).

    Article  ADS  Google Scholar 

  70. A. Kievsky, Few-Body Syst. 22, 1 (1997).

    Article  ADS  Google Scholar 

  71. Y. Koike, J. Haidenbauer, Nucl. Phys. A 463, 365c (1987).

    Article  ADS  Google Scholar 

  72. H. Witala, W. Glöckle, T. Cornelius, Nucl. Phys. A 491, 157 (1988).

    Article  ADS  Google Scholar 

  73. A. Kievsky, Nucl. Phys. A 607, 402 (1996).

    Article  ADS  Google Scholar 

  74. H. Witala, W. Glöckle, Nucl. Phys. A 528, 48 (1991).

    Article  ADS  Google Scholar 

  75. T. Takemiya, Prog. Theor. Phys. 86, 975 (1991).

    Article  ADS  Google Scholar 

  76. A. Kievsky, M. Viviani, L.E. Marcucci, Phys. Rev. C 69, 014002 (2004).

    Article  ADS  Google Scholar 

  77. H. Witala, Phys. Rev. C 67, 064002 (2003).

    Article  ADS  Google Scholar 

  78. M.H. Wood, Phys. Rev. C 65, 034002 (2002).

    Article  ADS  Google Scholar 

  79. K. Sagara, Phys. Rev. C 50, 576 (1994).

    Article  ADS  Google Scholar 

  80. A. Nogga, private communications.

  81. A. Kievsky, Phys. Rev. C 60, 096003 (1999).

    Article  Google Scholar 

  82. L. Canton, W. Schadow, Phys. Rev. C 64, 031001(R) (2001).

    Article  ADS  Google Scholar 

  83. B.M. Fisher, Phys. Rev. C 74, 034001 (2006).

    Article  ADS  Google Scholar 

  84. R. Lazauskas, Phys. Rev. C 71, 034004 (2005).

    Article  ADS  Google Scholar 

  85. E.J. Stephenson, Phys. Rev. Lett. 91, 142302 (2003).

    Article  ADS  Google Scholar 

  86. A. Nogga, Phys. Lett. B 639, 465 (2006).

    Article  ADS  Google Scholar 

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Viviani, M. Few- and many-body methods in nuclear physics. Eur. Phys. J. A 31, 429–434 (2007). https://doi.org/10.1140/epja/i2006-10263-9

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PACS.

  • 21.60.-n Nuclear structure models and methods
  • 24.10.Cn Many-body theory
  • 21.45.+v Few-body systems