Abstract
The motion of heavy charged particles incident on matter is investigated in relation to charged particle radiotherapy. As the motion is dissipative and the mass of the charged particle is not large in comparison with that of the surrounding molecules, a non-linear Langevin equation is used. The mean kinetic energy is non-relativistically defined, and the relation between stopping power and the particle energy or the penetrating depth, and that between the range and the incident energy of the particle, are calculated by use of the Langevin equation, assuming the fluctuating force to be very small. The mass dependence of the stopping power and the range are also investigated. The theory appears to be valid, except in the region of high energy in which a relativistic treatment will be necessary.
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