H. Lenske Institut für Theoretische Physik, U. Giessen

• Aspects of SU(3) Flavor Physics

• In-medium Baryon Interactions

• Covariant Density Functional Theory

• Hypernuclear Matter, Single Nuclei and beyond

• Strangeness Production on the Nucleon and Nuclei

• Summary and Outlook

Strangeness Production, In-Medium Flavour Dynamics and Hypernuclear

Physics

Strangeness and Hypernuclear Physics:From SU(2) Isospin to SU(3) Flavour Dynamics

What do we learn from (HEAVY) Hypernuclei?

• baryon-meson octet coupling constants and vertices

gN, gN, gN, gN, gN…g, g, f

Accessible in Free space NN scattering

Accessible in Re-Scattering Processes and Hypernuclei

Self-Energies ~ Schroedinger single particle potentials

() = -g

() = g

Vc ~ +30MeV

Vls ~ -~??MeV

•mean-field dynamical correlations?

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)

''''''

)( ˆ

BBBB

BBBBB

The DDRH Baryon Self-Energies:

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)

Y

NNF

YF

mN

mYm

mN

mY

mN

mYm

M

MO

k

kO

g

gR

g

gR

11

2

Hyperon-Nucleon Vertices at the Mean-Field Level:

BmmNmNBmmYmY gg

DDRH Flavour Dynamics: Single Particle Energies

DDRH Theory: Density Dependent NN and N Dirac-Brueckner Vertices

Nuclear Matter S

= 28 MeV

• 89Y = + 88Y(4-, g.s.)

• jj - Core Interactions

• Tensor Interaction

DDRH Spectrum for 89Y:

Dynamical Correlations? P. Konrad (Friday/B2)

0 Flavor Mixing in Asymmetric Nuclear Matter

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

DDRH Hypermatter Equation of State (Binding Energy per Baryon)

Minimum at 10% -content: B0=-18MeV at

0=0.21fm-3

DDRH Neutron Star Mass-Radius Relation (TOV Eq.):

Data from the XMM-Newton X-ray space observatory: Gravitational Red-Shift z ~ M/R

(Fe-Lines from a series of 28 X-ray bursts from EXO07481676)

X-ray

Optical

Crab Nebula Chandra X-Ray

Observatory and HST

a4 = 32 MeV

a4 = 26 MeV

PRC 64 (2001)

025804; H.L.

Springer Lect. Notes (2004)

Hyperon Interactions and Neutron Stars

The Giessen Model: CC Approach to Strangeness Production on the

Nucleon in

Photoproduction on the Nucleon in the Giessen Model Coupled Channels

Results for CLAS/SAPHIR Data

CLAS Data SAPHIR Data

V. Shyklar, H.L., Phys. Rev. C 71, 055206 (2005)

Associated (p,A) Strangeness Production

• exploratory for hadronic production at COSY

• elementary process for HI production HypHI@FAIR

• extension to electro-production at ELSA, MAMI and JLAB

R.Shyam, H.L., PRC 69:065205 (2004); NPA 764:313 (2006)

R. Shyam (Friday/B3)

Auger Spectroscopy of Hypernuclei at JLAB

C. Keil, H.L., PRC 66, 054307 (2002), A. Magaryan et al., LoI/Exp. Proposal at JLAB

Electro-Production of a Hypernucleus through a

Resonance De-Excitation of a

Hypernucleus by Emission of an Auger Neutron

Auger Spectroscopy in 208Pb: Emission from initial 1f State

Summary, Conclusions and Outlook

• QCD in Nuclei: EFT at the Fermi-Momentum Scale

• Relativistic Field Theory for Nuclei and Hypernuclei

• DDRH-Theory: ab initio SU(3) Flavor Dynamics

• Applications to Nuclei, Hypernuclei

• Strangeness in Neutron Stars

• 0 Flavor Mixing in Asymmetric Matter

• Open Problem: YY Interactions

• Dynamical Correlations and Hyperon Spectral Functions

• Production and Spectroscopy of HypernucleiContributors: C. Keil, P. Konrad, U. Badarch, R. Shyam, S. Bender, A. Ataie, A. Fedoseew