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

Zhao Jianglin and Jing-Dong Bao

Physica A: Statistical Mechanics and its Applications, 2005, vol. 356, issue 2, 517-524

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.

Keywords: Anomalous quantum diffusion; Saddle point; Passing probability; Fusion of massive nuclei (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:356:y:2005:i:2:p:517-524

DOI: 10.1016/j.physa.2005.03.050

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