Quantum Path Integral Approach to Fusion Probability of Heavy Nuclei at Subbarrier Energies

Key words: 
• heavyion fusion reaction /
• fusion probability /
• path integral /
• subbarrier /
• quantum fluctuation

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 subbarrier 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.