Spin-Isospin mode in finite nuclei and EOS in dense nuclear matter
H. Sagawa, University of Aizu, Japan.
Theory Workshop"Nuclear Bulk Properties", MSU, Nov. 19-22,2008
1. Skyrme energy density functionals
2. Spin, Spin-Isospin Landau parameters
3. RPA in nuclear matter and neutrino mean free path
4. Spin-Isospin mode and tensor correlations
5. Summary and future perspectives
J. Margueron, IPN Orsay, France.
Skyrme interaction
Widely used and sucessful to describe:
Static properties (Binding energies, Radii, ...)
Dynamical properties (Collective modes, ...)
→ Could it be applied to astrophysical objects (neutron stars, --)
supernovae, ...)
D. Vautherin and D. M. Brink, PRC 5, 626 (1972)
T. H. R. Skyrme, Philos. Mag. 1, 1043 (1956)
Main advantages: simple to use
Equation of State
Symmetric nuclear matter
Pure neutron matter
Ferromagnetic phase diagramme
Spin asymmetry density :
Susceptibility :
Instability for if :
Asymmetric nuclear matter :
Symmetric nuclear matter :
Diag.
unstable
stable
or
and
Microscopic calculations of the
ferromagnetic instabilty
Results:
No ferromagnetic
instability
On the other hand, Skyrme functional is unstable at high density or large asymmetries
Magnetic
susceptibility
S. Fantoni, et al., PRL 87, 018110 (2001)

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