Mean Field and Beyond For Nuclear Reactions Jan

Mean Field and Beyond For Nuclear Reactions Jan. 23 -27, 2006

Mean Field and Beyond For Nuclear Reactions Jan. 23 -27, 2006

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/SPh. T and SPh. N

Motivations to get the maximum of physics … …with the minimum of parameters

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

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-3 D 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) • Time-Independent Mean Field B. G. Giraud, M. A. Nagarajan and I. J. Thomson, Ann. Phys. 152, 475 (1984) • no pairing (except QRPA)

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, 23 c (1984) H. Goutte, J. F. Berger, P. Casoli and D. Gogny, PRC 71, 024316 (2005)

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 ?