Heavy-ion Fusion Probability and Nuclear Fission Rate in a Quantum Non-Ohmic Environment

ZHANG Jiaming; HAN Jie; BAO Jingdong

doi:10.11804/NuclPhysRev.33.04.385

Dynamics of heavy-ion fusion and nuclear fission system in a quantum non-Ohmic environment have been considered and a numerical simulation method to solve the corresponding c-number quantum generalized Langevin equation is proposed. The method of generating quantum colored noise with arbitrary correlation can be applied to generate noise of arbitrary non-Markov process. Calculating fusion probability of heavy nuclei with this method, the result has shown that the passing probability is enlarged (decreased) by the quantum fluctuation when the initial kinetic energy of the particle is less than (greater than) the critical initial kinetic energy. Steady passing probability of particle in non-Ohmic environment versus is nonmonotonic. Quantum fluctuation makes the maximum position of the curve drift towards right (left), when the initial kinetic energy of the particle is less than (greater than) the critical initial kinetic energy. Furthermore, nuclear fission rate is larger in super-Ohmic environment. Quantum fluctuation enlarges nuclear fission rate and makes the the maximum position of nuclear fission rate versus δ drift.

Heavy-ion Fusion Probability and Nuclear Fission Rate in a Quantum Non-Ohmic Environment

Department of Physics, Beijing Normal University, Beijing 100875, China

Funds: National Natural Science Foundation of China(11175021); Specialized Research Foundation for Doctoral Program of Higher Education of China(20120003110025)

Received Date: 2016-05-05

Rev Recd Date: 2016-06-22

Publish Date: 2016-12-20

Key words:

Abstract: Dynamics of heavy-ion fusion and nuclear fission system in a quantum non-Ohmic environment have been considered and a numerical simulation method to solve the corresponding c-number quantum generalized Langevin equation is proposed. The method of generating quantum colored noise with arbitrary correlation can be applied to generate noise of arbitrary non-Markov process. Calculating fusion probability of heavy nuclei with this method, the result has shown that the passing probability is enlarged (decreased) by the quantum fluctuation when the initial kinetic energy of the particle is less than (greater than) the critical initial kinetic energy. Steady passing probability of particle in non-Ohmic environment versus is nonmonotonic. Quantum fluctuation makes the maximum position of the curve drift towards right (left), when the initial kinetic energy of the particle is less than (greater than) the critical initial kinetic energy. Furthermore, nuclear fission rate is larger in super-Ohmic environment. Quantum fluctuation enlarges nuclear fission rate and makes the the maximum position of nuclear fission rate versus δ drift.

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Reference (29)

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Heavy-ion Fusion Probability and Nuclear Fission Rate in a Quantum Non-Ohmic Environment

doi: 10.11804/NuclPhysRev.33.04.385

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