# Alpha Decay Probability

Classical Mechanics Level pending

$\large \gamma = \dfrac{1}{\hbar} \int_{r_0}^{r_1} \sqrt{2m(V-E)}\, dr$

Suppose that the charge of a nucleus and the energy $$E$$ of particles in the nucleus change in such a way so that the equation above is shifted to $$\gamma - \frac{\ln 2}{2}$$, where $$r_0$$ and $$r_1$$ are the points where the energy $$E$$ intersects the potential $$V$$.

By what factor does the probability of alpha decay in a given amount of time (transmission coefficient) change?

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