Flavor Symmetry and Topology Change in Nuclear Symmetry Energy for Compact Stars

Abstract

The nuclear symmetry energy figures crucially in the structure of asymmetric nuclei and, more importantly, in the equation of state (EoS) of compact stars. At present it is almost totally unknown, both experimentally and theoretically, in the density regime appropriate for the interior of neutron stars. Basing on a strong-coupled structure of dense baryonic matter encoded in the skyrmion crystal approach with a topology change and resorting to the notion of generalized HLS (hidden local symmetry) in hadronic interactions, we address a variety of hitherto unexplored issues of nuclear interactions associated with the symmetry energy, i.e., kaon condensation and hyperons, possible topology change in dense matter, nuclear tensor forces, conformal symmetry and chiral symmetry etc in the EoS of dense compact-star matter. One of the surprising results coming from the hidden local symmetry structure that is distinct from what is given by standard phenomenological approaches is that at high density, baryonic matter is driven by RG flow to the "dilaton-limit fixed point (DLFP)" constrained by "mended symmetries." We further propose how to formulate kaon condensation and hyperons in compact-star matter in a framework anchored on a single effective Lagrangian by treating hyperons as the Callan-Klebanov kaon-skyrmion bound states simulated on crystal lattice. This formulation suggests that hyperons can figure in the stellar matter -- if at all -- when or after kaons condense, in contrast to the standard phenomenological approaches where the hyperons appear as the first strangeness degree of freedom in matter thereby suppressing or delaying kaon condensation. In our simplified description of the stellar structure in terms of symmetry energies which is compatible with that of the 1.97 solar mass star, kaon condensation plays a role of "doorway state" to strange-quark matter.

48 pages, 6 figures, version for publication

References in corpus (23)

• Shapiro delay measurement of a two solar mass neutron star
• QCD and dimensional deconstruction
• Chiral Dynamics of Baryons from String Theory
• Incompressibility of neutron-rich matter
• Dynamics of Baryons from String Theory and Vector Dominance
• Skyrmions, instantons and holography
• Effects of hyperons in binary neutron star mergers
• Nuclear matter fourth-order symmetry energy in the relativistic mean field models
• Half-Skyrmions, Tensor Forces and Symmetry Energy in Cold Dense Matter
• Nucleon Form Factors and Hidden Symmetry in Holographic QCD
• Shell model description of the 14C dating beta decay with Brown-Rho-scaled NN interactions
• K^- nuclear potentials from in-medium chirally motivated models
• Dilaton-Limit Fixed Point in Hidden Local Symmetric Parity Doublet Model
• Half-Skyrmions and the Equation of State for Compact-Star Matter
• Hidden Local Symmetry and Infinite Tower of Vector Mesons for Baryons
• Recent Developments on Kaon Condensation and Its Astrophysical Implications
• Hadron-quark phase transition in asymmetric matter with boson condensation
• Low-momentum interactions with Brown-Rho-Ericson scalings and the density dependence of the nuclear symmetry energy
• Hyperons and Condensed Kaons in Compact Stars
• NA60 and BR Scaling In Terms of The Vector Manifestation: Formal Consideration
• Tensor force induced isospin-dependence of short-range nucleon-nucleon correlation and high-density behavior of nuclear symmetry energy
• Cold Dense Baryonic Matter and Compact Stars
• Kaon Condensation with Lattice QCD

Cited by in corpus (6)

• Interplay between ω-Nucleon Interaction and Nucleon Mass in Dense Baryonic Matter
• Topology Change and Tensor Forces for the EoS of Dense Baryonic Matter
• Compact Star Matter: EoS with New Scaling Law
• Proton Mass, Topology Change and Tensor Forces in Compressed Baryonic Matter
• Nuclear Symmetry Energy with Strangeness in Heavy Ion Collision
• Dilatons in Dense Baryonic Matter