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When skyrmions representing nucleons are put on crystal lattice andcompressed to simulate high density, there is a transition above the normalnuclear matter density $n_0$ from a matter consisting of skyrmions with integerbaryon charge to a state of half-skyrmions with half-integer baryon charge. Weexploit this observation in an effective field theory formalism to access densebaryonic system. We find that the topology change involved implies a changeoverfrom a Fermi liquid structure to a non-Fermi liquid with the chiral condensatein 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 spontaneouslybroken chiral symmetry. The topology change engenders a drastic modification ofthe nuclear tensor forces, thereby nontrivially affecting the EoS, inparticular, the symmetry energy, for compact star matter. It brings instiffening of the EoS needed to accommodate a neutron star of $\sim 2$ solarmass. The strong effect on the EoS in general and in the tensor force structurein particular will also have impact on processes that could be measured atRIB-type accelerators.

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