Exotic Nuclei in Relativistic and Non-Relativistic Models Exotic Nuclei large isospin asymmetry - nuclei close to the drip lines - superheavy nuclei non-relativistic.

Exotic Nuclei in Relativistic and Non-Relativistic Models

Exotic Nuclei large isospin asymmetry

- nuclei close to the drip lines

- superheavy nuclei

• non-relativistic models: Skyrme-Hartree-Fock (SHF), Gogny-HF

- relativistic models : Relativistic Mean Field (RMF)

Chiral effective field theory and low-energy QCD

Relativistic Hartree-Fock

Dirac- Brueckner- HF

Mean field type models

Quark Meson Coupling Model

Spin-orbit

Mean field

different density dependence

Relativistic Mean Field Skyrme - HF

)()( rVrSU ,...),( UU

different isospin dependence)(

20)(

qSHFq

WW

qSkIq aaW ')(density

&

CC 1.0'

contribution of Fock terms ?!

( H. Flocard & P.G.Reinhard )(P.G.Reinhard ’89)

Effective mass

)(rSmmD

)(* rVmm

Dirac mass :

Lorentz mass :

m65.0

echivUd

d

m

m

1

*

different value

different isospin dependence

N>Z**pn mm

**pn mm

Relativistic Mean Field Skyrme - HF

q

q

bbmm

21

2

*

2

22

contribution of Fock term ?!

Basic quantities :

• binding energies, radii

RMF versus SHF in finite nuclei

• shell structure: - spin-orbit splitting

- level density (m*)

Extrapolation far from stability ?

RMF versus SHF: global observables

( P.G. Reinhard et al, nul-th/0012095)

Spin-orbit splitting in RMF and SHF

( M. Bender et al, PRC60,034304 )

Single-particle spectrum in 208Pb

Charge radii staggering in 208Pb

Hartree versus Hartree-Fock

(A. Bouyssy et al, PRC36, 1987,380)

RMF versus SHF in superheavy nuclei

(T.Burvenich et al, nul-th/0302056)

RMF versus SHF at driplines

( S. Mizutori et al, PRC61, 044326 )

(J. Meng et al, PRL80, 1998,460)

Neutron skins in RMF

Neutron giant skin in Zr isotopes ?

Skyrme-HF:

RMF results

no giant skin !

( N. Sandulescu et al, PRC68,2003)

• Quantum fields effects ?

• Chiral effective field theory

• Exchange terms and pion contribution ?

Beyond the standard (non-linear) RMF approach

• Density dependent coupling terms ?

• Constraints from low-energy QCD ?

• Effect of nucleon structure ?

♪

♪

♪

♪

“First principle” density functionals ?