Nuclear Symmetry Energy and Compact Stars

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Presentation transcript:

Nuclear Symmetry Energy and Compact Stars “simple-minded approach” Hyun Kyu Lee Hanyang University WCU-HIM meeting on “Dense Matter Physics” Oct. 31, 2009

Introduction Nuclear matter (finite or infinite volume) consituents: nucleon (proton and neutron) total number: N = density : Energy of nuclear matter, U energy per nucleon: E = U / N energy density : = U / V = E

energy per nucleon Free - nucleon matter Pauli exclusion principle

symmetry energy factor, S(n) Model dependent symmetry energy factors Prakash et al. (1994) B.-A. Li et al. (2005) Piekarewicz and Centelles (2009)

Nuclear Symmetry Energy Factors (KK and H.K. Lee, arXiv:0909.1398) Diverse predictions at u > 1 !

B-A. Li et al. 0808.0186

Neutron star Astrophysical Compact Object n, p, e, muon, pion, Chemical equilibrium ( ) and Electrical charge neutrality ( ) between particles. Pressure Gravity: TOV equation Equation of State(EOS) n, p, e, muon, pion, kaon, … R ~ 10-15 km M ~ 1-3 Msun Free-fermion gas Nuclear Physics (Symmetry Energy) Hadron Physics

Electron Chemical Potential (KK and H.K. Lee, arXiv:0909.1398) chemical equilibrium and charge neutrality

Kaon Condensation Threshold (KK and H.K. Lee, arXiv:0909.1398) (Brown et al, 2008) No kaon condensation ?

Equation of States for NS-like Compact Object Total energy density and pressure : (Dimensionless) Fermi momentum : Compton wavelength ( Shapiro & Teukolsky )

TOV(Tolmann-Oppenheimer-Volkov) Equation Gravity Pressure

M-R M-nc M-rhoc @ Mmax of each models Free SF SFSU 0.71 Msun, 9.27 km SNL3 Salpha=1 0.71 Msun, 9.27 km 2.00 Msun, 11.03 km 1.73 Msun, 12.72 km 2.10 Msun, 12.22 km 0.39 Msun, 16.08 km M-R M-nc M-rhoc

Radial Dependence of Compositions in Compact Objects SF SFSU SNL3 Salpha=1

Radial Dependence of Electron Chemical Potential and Nucleon Number Density Electron chemical potential vs. distance from center of compact object @ Mmax of each models Nucleon number density vs. distance from center of compact objects @ Mmax of each models

< Nuclear Symmetry Energy at Higher Density > -Theory: Models for Nuclear Inetraction Effective Theories for QCD - Experiments: CBM/FAIR, ALICE/LHC, RHIC… - Observations: Neutron Stars, Black Holes, .. , Gravitaional Waves, .. Observables ??!!