Chiral soliton lattice effect on baryonic matter from skyrmion crystal model

The Chiral Soliton Lattice (CSL) is a periodic and parity-violating topological soliton, which have been studied in condensed-matter systems. In the hadron physics, various attempts are being made to adapt the idea of CSL to the baryonic matter. We explore the CSL effects on the baryonic matter based on the skrymion crystal approach. Dense baryonic matter is described as a skyrmion crystal which appears in two distinct phases as a function of the matter density (as the matter density increases, the skyrmion matter configuration is deformed from a face-centered cubic crystal to a cubic-centered crystal). It is found that the CSL causes an inverse catalysis for the structure transition in the baryonic matter. It also turns out that the CSL effects in a low density region distorts the shape of the baryonic matter. However, in a high density region, the CSL goes away due to the structure transition in the baryonic matter.