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The behavior of a massive charged test Dirac field in the background of aReissner-Nordstr\"om black hole is investigated. Especially, we obtain thefrequencies of quasibound states by solving the Dirac equation numerically bothin time and frequency domain. Our results suggest that although the absence ofsuperradiance excludes the existence of stationary solutions for massive Diracfields, it is still possible to find arbitrarily long-lived solutions.

Massive charged Dirac fields around Reissner-Nordstr\"om black holes: quasibound states and long-lived modes