Quantum effect in the diffusion along a potential barrier: Comments on the synthesis of superheavy elements

Noboru Takigawa, Sakir Ayik, Kouhei Washiyama, Sachie Kimura

研究成果: Contribution to journalArticle査読

35 被引用数 (Scopus)

抄録

We discuss a quantum effect in the diffusion process by developing a theory, which takes the finite curvature of the potential field into account. The transport coefficients of our theory satisfy the well-known fluctuation-dissipation theorem in the limit of Markovian approximation in the cases of diffusion in a flat potential and in a potential well. For the diffusion along a potential barrier, the diffusion coefficient can be related to the friction coefficient by an analytic continuation of the fluctuation-dissipation theorem for the case of diffusion along a potential well in the asymptotic time, but contains strong non-Markovian effects at short times. By applying our theory to the case of realistic values of the temperature, the barrier curvature, and the friction coefficient, we show that the quantum effects will play significant roles in describing the synthesis of superheavy elements, i.e., the evolution from the fusion barrier to the conditional saddle, in terms of a diffusion process. We especially point out the importance of the memory effect, which increases at lower temperatures. It makes the net quantum effects enhance the probability of crossing the conditional saddle.

本文言語英語
論文番号054605
ページ(範囲)054605-1-054605-5
ジャーナルPhysical Review C - Nuclear Physics
69
5
DOI
出版ステータス出版済み - 5 2004
外部発表はい

All Science Journal Classification (ASJC) codes

  • 核物理学および高エネルギー物理学

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