AUJOURD

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AUJOURD HUI..et. DEMAIN

• Keep contact with experimentalists, work together
• Beyond mean-field, but via Particle-Vibration
  Coupling

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132Sn low-lying GDR strength
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Blue line theory of 3) (dashed line) convoluted
with the detector response by A. Klimkiewicz
to compare with the experiment of 2) (green)
G. Colo and PFB, Comex2
G.
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References
1)
N. Ryezayeva et al., Phys. Rev. Lett. 89 (2002)
272502. P. Adrich, A. Kimkiewicz et al.,
Phys.Rev. Lett. 95 (2005) 132501. D. Sarchi,
PFB, G. Colò, Phys. Lett. B 601 (2004) 27. N.
Paar, D. Vretenar, E. Khan, G. Colò, Reports on
Progress in Physics. 2007

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The phonon coupling has been known for many years
to be important for the understanding of s.p.
states around the 208Pb core.
Exp. HF HF
phonons
C.Mahaux et al., Phys. Rep., 1985 ? PV coupling
increases m
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Gamma(s.p.)0.5 (E-E_F)
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Spreading width in GR

• G.F. Bertsch, P.F. Bortignon, R.A.
• Broglia, Rev. Mod. Phys. 55
• Gamma(GR)? Gamma(part.)Gamma(hole) NO!!!

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In the last decade we have developed, within a
Milano-Orsay collaboration, a microscopic model
aimed to a detailed description of GR excitation
and decay G. Colò et al. Phys. Rev. C50, 1496
(1994). The model includes the coupling with
1p-1h plus 1 phonon configurations and with the
continuum (allowing the description of particle
decay). The model has been able to reproduce the
total width of the GMR, and total and partial
decay widths of GTR and IAR in 208Pb. Recently,
we have extended the model to include pairing
correlations (without the continuum coupling).
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The IAS a stringent test
The measured total width (Gexp230 keV) is well
reproduced. The accuracy of the symmetry
restoration (if VCoul0) can be established.
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Problem of the 2d3/2 1h11/2 position, wrong in
all mean-field calculations, Not cured by
coupling to vibrations (see below , G. Colò and
PFB,ISPUN 2007 But tensor contribution may
help G. Colò et al., PLB 646 (2007) 227 ,
However see also T. Lesinski et al., PRC 76
(2007) 014312
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F. Barranco.P.Schuck et al., PRC 72
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A. Pastore et al. Nucl-th 08011385
T. Duguet and T. Lesinski, Nucl_th 07114386 J.
Margueron, H. Sagawa, k. Hagino, Nucl-th. 07123644
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IPSE DIXIT

• The two Thomas, Karim, want an UNEDF.
• Jacek shifts attention from g.s. properties to
  s.p. properties

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IPSE DIXIT

• Peter propose to use DFT for g.s. properties and
  Migdal Theory for energy dependence and shows
  resuls of PV coupling
• G. Colò

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INSERT CONSTRAINTS FROM COLLECTIVE EXCITED STATES
in the fit of the functional. Concrete proposal
K? , S(?0.1 fm-3) , g0.

• Giant Monopole Resonance EGMR constrains K?
  240 20 MeV.
  (a) Allow in the fit
  this relatively broad range (one can allow 1.5s,
  that is, 210 lt K? lt 270 MeV). (b) A smaller range
  is possible if we have an a priori choice for the
  density dependence. This constraints comes from a
  comparative study of Skyrme, Gogny, RMF.
• Giant Dipole Resonance EIVGDR constraints S0.1
  ? S(?0.1 fm-3). The constraint, coming from a
  study with Skyrme, is 22.3 lt S0.1 lt 25.8 MeV.
• Giant Quadrupole Resonance it mainly involves
  m.
• Low-lying collective states too much dependent
  on s.p. spectrum.
• Giant Gamow-Teller Resonance imposing that it
  exhausts about 60 of the 3(N-Z) sum rule
  constraints the spin-isospin part of the
  functional. Here the precise constraint depends
  on the functional.
  

Gianluca Colò, Univ. of Milano, Italy
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• Collaborators
• P.F. Bortignon, S. Fracasso, J. Li, L. Trippa,
  E. Vigezzi (Milano)
• N. Van Giai (Orsay)
• K. Bennaceur, J. Meyer (Lyon)
• P. Bonche (Saclay)

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Paul Bonche et al.

• Let us emphasize that this study was done at the
  mean-field (HF) level. However, NO ingredient in
  our protocol prevents further studies beyond the
  mean field approximation. If needed be, further
  correlations can be explored and it is quite
  legitimate to use these interactions for RPA or
  configurations mixing (GCM) calculations. This
  would NOT has been the case if we had included in
  our protocol detailed information such as s.p.
  energies of some selected nuclei.