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