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The possibility of formation of a droplet phase (DP) inside a star and itsconsequences on the structural properties of the star are investigated. Fornuclear matter (NM), an equation of state (EOS) based on finite range, momentumand density dependent interaction, and which predicts that neutron matterundergoes ferromagnetic transition at densities realisable inside the neutronstar is employed. An EOS for quark matter (QM) with density dependent quarkmasses, the so-called effective mass model, is constructed by correctlytreating the quark chemical potentials. It is then found that a droplet phaseconsisting of strange quark matter and unpolarised nuclear matter sandwichedbetween a core of polarised nuclear matter and a crust containing unpolarisednuclear matter exists. Moreover, we could explain the mass and surface magneticfield satisfactorily, and as well allow, due to the presence of a dropletphase, the direct URCA process to happen.Comment: 31 pages revtex, 17 psfiles for figures include

Hybrid stars: Spin-polarized nuclear matter and density-dependent quark masses