The present invention provides a durable, external surfactant free, anionic, water based jet ink polymer which when formulated into an ink jet ink results in a printing that has an excellent adhesion to metal or plastic substrates. Such a jet ink polymer is suitable performance replacement of solvent soluble polymers currently in commercial use. The hybridized copolymer comprises a hydrophobic functional polymeric backbone comprised of a polysiloxane polymer, a polyolefin polymer, or a functional polyvinyl polymer. The hybridized copolymer also comprises a plurality of copolymeric side chains attached to the backbone, comprising a polymerizable acid-containing unsaturated monomer, and a polymerizable unsaturated monomer. The use of the inks of the present invention enhances performance criteria such as print-head open time, ink stability, and resistance to typical water based cleaners.