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The existence and the properties of self-bound quark matter in the NJL modelat zero temperature are investigated in mean-field approximation, focusing oninhomogeneous structures with one-dimensional spatial modulations. It is foundthat the most stable homogeneous solutions which have previously beeninterpreted as schematic quark droplets are unstable against formation of aone-dimensional soliton-antisoliton lattice. The solitons repel each other, sothat the minimal energy per quark is realized in the single-soliton limit. Theproperties of the solitons and their interactions are discussed in detail, andthe effect of vector interactions is estimated. The results may be relevant forthe dynamics of expanding quark matter.

Self-bound quark matter in the NJL model revisited: from schematic droplets to domain-wall solitons