近垒能量下重核熔合几率的量子路径积分计算
Quantum Path Integral Approach to Fusion Probability of Heavy Nuclei at Subbarrier Energies
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摘要: 针对近垒能量下经典涨落耗散模型预期的重核熔合几率比实验结果偏小的问题， 发展了一种实时间路径积分方法并用于研究重核熔合激发函数， 给出了包含量子涨落效应的解析表达式。 计算了几个对称和近似对称反应系统的熔合几率， 结果表明理论结果与实验值符合较好。 还讨论了颈部增长对熔合障碍的影响。 A real time path integral approach is developed in order to work out a correct solution to a problem for the smaller result of the fusion probability of heavy nuclei based on the classical diffusion model at subbarrier energies. An analytical expression for the quantum fusion probability is proposed，which contains the quantum fluctuation effect. The fusion probabilities of several symmetrical and approximate symmetrical systems are calculated， the heoretical results are in agreement with the experimental data. The influence of the neck length and its fluctuation upon the fusion hindrance is discussed.
Abstract: A real time path integral approach is developed in order to work out a correct solution to a problem for the smaller result of the fusion probability of heavy nuclei based on the classical diffusion model at subbarrier energies. An analytical expression for the quantum fusion probability is proposed，which contains the quantum fluctuation effect. The fusion probabilities of several symmetrical and approximate symmetrical systems are calculated， the heoretical results are in agreement with the experimental data. The influence of the neck length and its fluctuation upon the fusion hindrance is discussed.
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