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WKB Analysis of the Scattering of Massive Dirac Fields in Schwarzschild Black Hole Spacetimes

H. T. Cho·Y. -C. Lin
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Abstract

We analysis the radial equations for massive Dirac fields in Schwarzschild black hole spacetimes. Different approximation formulae under the WKB scheme are developed for the transmission probability ${\cal T}$ of the radial wavefunction with $E^{2}\gg V_{m}$, $E^{2}\approx V_{m}$, and $E^{2}\ll V_{m}$, where $E$ is the energy of the field and $V_{m}$ is the maximum value of the effective potential. Explicit results of ${\cal T}$ in these approximations are given for various values of $E$, the mass $m$, and the angular momentum parameter $κ$ of the fields. We also discuss the dependence of ${\cal T}$ on these parameters.

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H. T. Cho, Y. -C. Lin. 2004-11-18. WKB Analysis of the Scattering of Massive Dirac Fields in Schwarzschild Black Hole Spacetimes. https://doi.org/10.1088/0264-9381%2F22%2F5%2F001

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