  The chiral soliton lattice (CSL) has been studied in condensed-matter system
such as chiral magnets, which arises as a parity-violating topological soliton.
In hadron physics, various attempts have also been made to apply the idea of
CSL to baryonic matter. In this work, we explore the CSL effects on the
baryonic matter based on the skrymion crystal approach. It is found that the
CSL causes an inverse catalysis for the topology change in the dense baryonic
matter. Furthermore, we observe that the CSL makes the single-baryon shape
deformed to be highly oscillating as the frequency of the CSL gets larger,
which leads to the enhancement of a baryon energy. Of interest is that in a
high density region, the CSL goes away due to the topology change in the
baryonic matter. What we find here might deepen our understanding of dense
matter systems as well as compact stars.
