Derive the Geiger-Nettall law, which is valid for a-decay and expresses the relationship between the half-life T and the energy E of emitted a-particles using the relation lnT = A/ + b, where A and B are constants. Assume that the potential barrier U(r) has a vertical wall at r = R (R is the radius of the nucleus) and is determined by Coulomb’s law at r > R. The energy of the emitted alpha particle is E U0 (U0 is the height of the barrier).

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