exotic nuclei in relativistic and non-relativistic models exotic nuclei large isospin asymmetry -...
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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 ?
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“First principle” density functionals ?