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Scattering of Particles. Rutherford-Bohr Atom

Problem 6.3

To what minimum distance will an alpha particle with kinetic energy T=0.40MeVT=0.40 \mathrm{MeV} approach in the case of a head-on collision to (a) a stationary Pb\mathrm{Pb} nucleus; (b) a stationary free Li7\mathrm{Li}^{7} nucleus?

Reveal Answer
(a) rmin⁡=0.59pmr_{\min }=0.59 \mathrm{pm} (b) rmin⁡=(2Ze2/T)(1+mα/mLi)=0.034pmr_{\min }=\left(2 Z e^{2} / T\right)\left(1+m_{\alpha} / m_{\mathrm{Li}}\right)= 0.034 pm
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