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How the Hawking effect and the prepared states influence the entanglementdistillability of Dirac fields in the Schwarzschild spacetime is studied byusing the Werner states which are composed of the maximum or generic entangledstates. It is found that the states are entangled when the parameter of theWerner states, $F$, satisfies $\tau<F\leq 1$ in which $\tau$ is influenced bothby the Hawking temperature of the black hole and energy of the fields. It isalso shown that although the parameter of the generic entangled states,$\alpha$, affects the entanglement, it does not change the range of theparameter, $F$, where the states are entangled for the case of genericentangled states.

How the Hawking effect and prepared states affect Entanglement distillability of Dirac fields