Symmetry energy with non-nucleonic degrees of freedom Wei-Zhou Jiang Department of Physics, Southeast University, China Collaborators: Bao-An Li, et al. Aug. 19-22, 2013 @ TAMU

Outline Introduction Hyperons, quarks, dark matter? Symmetry energy and quarks & hyperons Interaction of quarks and its effects In neutron stars, effect of dark matter? Summaries Aug. 19-22, 2013 @ TAMU

Liquid-drop model for nuclei SYMMETRY ENERGY Liquid-drop model for nuclei — E= W. D. Myers, W.J. Swiatecki, P. Danielewicz,…… In isospin asymmetric matter: Aug. 19-22, 2013 @ TAMU

Where it is the matter, there is the symmetry energy. Aug. 19-22, 2013 @ TAMU

Fuchs, et.al., arXiv:nucl-th/0511070 L.W.Chen,et.al., PRC72, 064309 (05) Aug. 19-22, 2013 @ TAMU

Diverse trends from data 1. Xiao, Li, et.al PRL102, 062502 (2009) 2. Feng&Jin, PLB683 (2010) 140 3. P. Russotto,W. Trauntmann, Q.F. Li et al., PLB697, 471(2011) 31.6(ρ/ρ)γ,with γ=0.9+/-0.4：almost linear Aug. 19-22, 2013 @ TAMU

The dense the matter, the uncertain the symmetry energy Factor to soften greatly the Symmetry Energy: Tensor force C. Xu and B. A. Li, PRC81, 064612: I. Vidana, A. Polls, and C. Providencia, PRC 84, 062801(R) . Aug. 19-22, 2013 @ TAMU

Significant points: To go ahead to deal with Tensor force with pion & rho: the most important ingredients of the chiral perturbative theory in Density dependent RHF approach: the simple, self-consistent and covariant framework. Here, we just go beyond this point to discuss contributions of non-nucleonic components to the symmetry energy. Aug. 19-22, 2013 @ TAMU

Non-nucleonic degrees of freedom Threshold for hyperons reaches at high densities; 2ρ0-4ρ0 Hadron-Quark transition may occur for nucleon overlaps >2ρ0 In astrophysical extraction of the symmetry energy, there may be the effect of unknown dark matter. What is the effect of these components in dense matter? Matter changes, so does the interaction, so does the symmetry energy? Aug. 19-22, 2013 @ TAMU

Model Lagrangian (RMF) : with Hyperons: Aug. 19-22, 2013 @ TAMU

EoS with inclusion of hyperons Definition of symmetry energy: at given hyperon fraction. for charge neutral and chemical equilibrated matter Aug. 19-22, 2013 @ TAMU

RMF models: SLC and SCLd Demorest, et al., Nature 467, 1081(2010)：PSR J1614-2230 Jiang，Li，and Chen, PLB653，184 （07）； PRC76, 054314 (07); ApJ756，56（12） RMF model NL3: Lalazissis, et. al. PRC 55, 540(97). Aug. 19-22, 2013 @ TAMU

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Symmetry energy with quarks Step 1: no interaction between Qs & Ns a function of α Y is the quark phase proportion, determined by Gibbs conditions. We just consider the symmetric matterα=0 Aug. 19-22, 2013 @ TAMU

Critical density Calculation detail: Charge chemical potential neglected here! Aug. 19-22, 2013 @ TAMU

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Symmetry energy of quark flavor Aug. 19-22, 2013 @ TAMU

With Λ hyperons Jiang et al,PRC87, 064314(2013) Aug. 19-22, 2013 @ TAMU

Questions: Clear model dependence of the transition density and the symmetry energy Why the transition density is so small as the strange quarks are included? Chemical potential and mechanical equilibriums should be corrected by interactions between quarks Aug. 19-22, 2013 @ TAMU

Grand thermodynamical potential of quarks Weissenborn, et al, arXiv:1102.2869 Alford, et al, APJ629:969(2005) Step 2: interactions for quarks Mechanical and chemical equilibriums Aug. 19-22, 2013 @ TAMU

Preliminary results: 2-flavor QCD corr., a4=0.6 3-flavor No QCD correction 2-flavor QCD corr., a4=0.6 3-flavor Aug. 19-22, 2013 @ TAMU

No correction to asymmetric part No QCD corrections No correction to asymmetric part Aug. 19-22, 2013 @ TAMU

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Symmetry energy: calculation is yet to make Step 3: interaction between Q’s & N’s Aug. 19-22, 2013 @ TAMU

Dark matter in neutron stars Only gravitational attraction between normal matter and dark matter Aug. 19-22, 2013 @ TAMU

Symmetry energy extraction with Dark matter Steiner:PRL 108, 081102 (2012) Effect of Dark Matter? Guillot et al. 2013, ApJ 772 Aug. 19-22, 2013 @ TAMU

DM with interactions Aug. 19-22, 2013 @ TAMU

Summary Non-nucleonic degrees of freedom do affect the symmetry energy. Experimental extraction of symmetry energy at high densities should be of caution about the effects of new phases The astrophysical extraction of symmetry energy could undergo the influence of celestial dark matter that belongs to an unknown universe. Aug. 19-22, 2013 @ TAMU

Thank you for your attention! Aug. 19-22, 2013 @ TAMU