S-Wave Scattering of Fermion revisited taking into account the effect of Anomaly

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A model where a Dirac fermion is coupled to background dilaton field is considered to study s-wave scattering of fermion by a background dilaton black hole. It is found that the anomaly plays a dual role on information loss scenario. Some time it protects the fermion from the dangerous information loss problem and some times it itself through it up towards that danger.
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