h. lenske institut für theoretische physik, u. giessen aspects of su(3) flavor physics in-medium...
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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