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Anomalous quantum diffusion over a saddle point and application to fusion of massive nuclei

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  • Jianglin, Zhao
  • Bao, Jing-Dong

Abstract

The quantal diffusion of a particle with an initial velocity coupled to a non-Ohmic environment passing over a potential top is considered. It is shown that sub- and super-diffusions hinder the directional motion of the particle in two different ways. The former makes the particle have a strong memory to its initial position rather than initial velocity and the latter increases the randomness of motion. The quantum fluctuation helps the particle with a small initial velocity to cross the saddle point, however, it is harmful to the directional motion of the particle with a large initial velocity. The present model is applied to calculate the fusion probability of massive nuclei and the fusion probability curve increases slowly with the center-of-mass energy. This is in agreement with the experimental fact.

Suggested Citation

  • Jianglin, Zhao & Bao, Jing-Dong, 2005. "Anomalous quantum diffusion over a saddle point and application to fusion of massive nuclei," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 517-524.
    • Handle: RePEc:eee:phsmap:v:356:y:2005:i:2:p:517-524
    DOI: 10.1016/j.physa.2005.03.050
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