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ESNT Workshop
Mean Field and Beyond For Nuclear Reactions
Jan. 23-27, 2006
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ESNT Workshop
Mean Field and Beyond For Nuclear Reactions
Jan. 23-27, 2006
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• What is ESNT ?
•  Espace de Structure Nucléaire Théorique 
• theoretical development in nuclear physics
• theoretical support to experimental groups
• When ?
• Since 2004
• How ?
• workshops (8)
• visitors (2)
• post-docs (first one next week)
• institutions (CEA)
• DAM/SPN, DSM/SPhT and SPhN

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Motivations
to get the maximum of physics
with the minimum of parameters
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• Motivations
• Nuclear reactions
• elastic, inelastic, deep-inelastic, transfer,
  break-up,
• fusion, fission? SPIRAL 2
• Whole nuclear chart
• from light to superheavy elements
• from proton to neutron drip lines
• Fully microscopic theory
• effective interaction (Skyrme, Gogny)
• Beyond mean-field
• long range dynamical correlations
• mixing of trajectories
• Same formalism (and interaction) for structure
  and dynamics

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• Present status (NOT EXHAUSTIVE !!!)
• Mean-field for nuclear reactions
• Time-Dependent Hatree-Fock theory
• P.A.M. Dirac, Proc. Camb. Phil. Soc. 26, 376
  (1930)
• First application to nuclear physics
• Y.M. Engel et al., NPA 249, 215 (1975)
• P. Bonche, S. Koonin and J.W. Negele, PRC 13,
  1226 (1976)
• TDHF-3D calculations of nuclear reactions
• H. Flocard, S.E. Koonin and M.S. Weiss, PRC
  17, 1682 (1978)
• K.-H. Kim, T. Otsuka and P. Bonche, JPG 23,
  1267 (1997)
• C. Simenel, P. Chomaz and G. de France, PRL
  86, 2971 (2001) PRL 93, 102701 (2004)
• small amplitude limit (QRPA) DWBA
• E. Khan, N. Sandulescu, N.V. Giai, M. Grasso,
  PRC 69, 014314 (2004)

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• Present status (NOT EXHAUSTIVE !!!)
• Beyond mean field for nuclear reactions
• Extended TDHF
• D. Lacroix, P. Chomaz and S. Ayik, PRC 58,
  2154 (1998)
• Time Dependent Density Matrix
• S.J. Wang and W. Cassing, Ann. Phys. 159, 328
  (1985)
• M. Tohyama, PRC 36, 187 (1987)
• Stochastic TDHF
• P.G. Reinhard and E. Suraud, Ann. Phys. 216,
  98 (1992)
• O. Juillet and P. Chomaz, PRL 88, 142503
  (1998)
• Time Dependent Generator Coordinate Method
• P.-G. Reinhard, R.Y. Cusson and K. Goeke, NPA
  398, 141 (1983)
• J.F. Berger, M. Girod and D. Gogny, NPA 428,
  23c (1984)
• H. Goutte, J.F. Berger, P. Casoli and D.
  Gogny, PRC 71, 024316 (2005)

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• How to progress ?
• To identify a community
• conferences and workshops (ESNT, Trento)
• collaborations
• SPIRAL 2 Theory Group ?
• What has been done in other fields ?
• Agregats
• Condensed matter
• astrophysics (phenomenological interaction)
• Structure (Giant Resonances)
• Phenomenological approaches
• Mathematics
• Link to experiments
• Which experimental observables ?
• What can we learn from experiments ?