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Wave Function

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Question 1 of 4

The repulsive spherical potential scattered by a particle of energy E given by

$V(r)=\left[\begin{array}{ll} V_{0} & \ { for } \mathrm{r}<\mathrm{a} \\ 0 & \ { for } \mathrm{r} \geq \mathrm{a} \end{array}\right.$

Where a are positive constants. If the total scattering cross-section in the low energy limit is $\sigma=4 \pi a^{2}\left(\frac{1}{k a} \tanh k a-1\right)^{2},$ where $K^{2}=\frac{2 m}{\hbar^{2}}\left(V_{0}-E\right)>0$ , then the ratio of total scattering cross section to the classical scattering cross section of a sphere of radius a when $V_{0} \rightarrow \infty$ is,

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Wave Function

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Question 1 of 4

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