Topology Change and Tensor Forces for the EoS of Dense Baryonic Matter

Abstract

When skyrmions representing nucleons are put on crystal lattice and compressed to simulate high density, there is a transition above the normal nuclear matter density $n_0$ from a matter consisting of skyrmions with integer baryon charge to a state of half-skyrmions with half-integer baryon charge. We exploit this observation in an effective field theory formalism to access dense baryonic system. We find that the topology change involved implies a changeover from a Fermi liquid structure to a non-Fermi liquid with the chiral condensate in the nucleon "melted off." The $\sim 80$ of the nucleon mass that remains, invariant under chiral transformation, points to the origin of the (bulk of) proton mass that is not encoded in the standard mechanism of spontaneously broken chiral symmetry. The topology change engenders a drastic modification of the nuclear tensor forces, thereby nontrivially affecting the EoS, in particular, the symmetry energy, for compact star matter. It brings in stiffening of the EoS needed to accommodate a neutron star of $\sim 2$ solar mass. The strong effect on the EoS in general and in the tensor force structure in particular will also have impact on processes that could be measured at RIB-type accelerators.

16 pages, 4 figures: Note dedicated to Gerry Brown, prepared for contribution to "EPJA Special Volume on Nuclear Symmetry Energy."

References in corpus (6)

• QCD and dimensional deconstruction
• Chiral Dynamics of Baryons from String Theory
• Dynamics of Baryons from String Theory and Vector Dominance
• Formation of a topological non-Fermi liquid in MnSi
• Half-Skyrmions, Tensor Forces and Symmetry Energy in Cold Dense Matter
• Pions in Large-$N$ Quantum Chromodynamics

Cited by in corpus (11)

• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Nucleon Effective Masses in Neutron-Rich Matter
• Symmetry energy of cold nucleonic matter within a relativistic mean field model encapsulating effects of high momentum nucleons induced by short-range correlations
• Towards the Hadron-Quark Continuity Via a Topology Change in Compact Stars
• Dense baryonic matter in conformally-compensated hidden local symmetry: Vector manifestation and chiral symmetry restoration
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter
• Topology and emergent symmetries in dense compact star matter
• Kaon Condensation in Baryonic Fermi Liquid at High Density
• Compact Star Matter: EoS with New Scaling Law
• Nuclear Symmetry Energy with Strangeness in Heavy Ion Collision
• Origins and Impacts of High-Density Symmetry Energy