Density Functional Theory for Nuclei, Neutronstars, and Hypernuclei
H. Lenske Institut für Theoretische Physik, U. Giessen GSI
Professor for Theoretical Nuclear Physics
Content:
• In-medium Baryon Interactions
• Nuclear Matter and Hypernuclear Matter
• Single Nuclei and beyond
• Production and Spectroscopy of Hypernuclei
• Summary and Outlook
DDRH Theory: Octet Flavour DFT by Meson Exchange
• Density Functional Theory for Nucleons and Hyperons
• Field Theory at the Fermi Momentum Scale
• BB Interactions in Free Space by Meson Exchange
• In-Medium Interactions by Dirac Brueckner Theory
• Density Dependent Vertex Functionals
• Covariance and Thermodynamical Consistence
DDRH Flavour Dynamics: Density Dependent Vertices:
PLB345 (1995), PRC52 (1995), PRC57 (1998), PRC64 (2001), PRC66 (2002), Springer Lect. Not. (2004)
Isoscalar Vertices
Isovector Vertices
Nuclear Matter DBHF Vertices (Groningen NN-Potential)
Strangeness and Hypernuclear Physics:From SU(2) Isospin to SU(3) Flavour Dynamics
DDRH-Scaling of In-Medium Hyperon Interactions
Naïve Quark Model Scaling: Non-strange
mesons couple only to non-strange quarks
g(m)= 2/3 gN (m)
DDRH Hypermatter Equation of State
Minimum at 10% -content: B0=-18MeV at
0=0.21fm-3
DDRH Flavour Dynamics: Single Particle Energies
DDRH Theory: Density Dependent NN and N Dirac-Brueckner Vertices
Nuclear Matter S
= 28 MeV
0 Mixing in Asymmetric Nuclear Matter and Exotic Nuclei
SU(3) DFT Coupled Channels Mixing in Matter :
pnNN
m
ggVU
23
00 00
MeVmmm 77
...)(
1 ~
)(
:Energy-Self )dispersive local,-(non
0)(
2
22
Tm
mU
m
U
mm
U
UmGUW
WUT
1
))((1
1~
1
1)(
:Factors picSpectrosco
0)(
22
zz
Wz
WUT
pn
Associated (p,A) Strangeness Production
elementary process for HI production HypHI Project@GSI and FAIR
• pionic production in (,K) reactions
• extension to photo- and electro-production at ELSA, MAMI-C and JLAB
R.Shyam, H.L., PRC 69:065205 (2004); NPA 764:313 (2006)
Coherent Strangeness Production on a Nucleus: Reaction Spectroscopy of Hypernuclear
States
Hyperon Interactions and Neutron Stars
Summary, Conclusions and Outlook
• DDRH-Theory: ab initio DFT for SU(3) Flavor Dynamics
• Applications to Nuclei, Hypernuclei
• Flavor Mixing in Asymmetric Matter
• Strangeness Production on the Nucleon
• Coherent Production and Spectroscopy of Hypernuclei
• Strangeness in Neutron Stars
• Open Problem: YY Interactions
• Dynamical Correlations and Hyperon Spectral FunctionsContributors: P. Konrad, U. Badarch, R. Shyam, S.
Bender, V. Shklyar