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Nuclear Energy Levels

Abstract

IT is a plausible hypothesis that the forces acting on a particle inside the nucleus are comparatively weak in the internal region and increase rapidly to the boundary of the nucleus, the potential distribution being represented by a hole with more or less flat bottom and rather steep walls1. If we approximate this model by a rectangular hole with infinitely high walls, the energy levels of a moving particle will be determined by the roots of Bessel functions and can be easily calculated. For the real model, however, this theoretical level system will be deformed owing to the fact that the walls are neither quite steep nor infinitely high, producing compression of the upper part of the level system.

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References

  1. Gamow, Proc. Roy. Soc., A, 128, 632; 1930.

  2. Rutherford, Proc. Roy. Soc., A, 131, 684; 1931.

  3. Ellis, Proc. Roy. Soc., A, 129, 180; 1930.

  4. Taylor and Mott, Proc. Roy. Soc., A, 138, 665; 1932.

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GAMOW, G. Nuclear Energy Levels. Nature 131, 433 (1933). https://doi.org/10.1038/131433a0

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