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Abstract: Starting from the WKB approximation, a new barrier penetration formula isproposed for potential barriers containing a long-range Coulomb interaction.This formula is especially proper for the barrier penetration with penetrationenergy much lower than the Coulomb barrier. The penetrabilities calculated fromthe new formula agree well with the results from the WKB method. As a firstattempt, this new formula is used to evaluate alpha decay half-lives of atomicnuclei and a good agreement with the experiment is obtained.



Author: Lu-Lu Li, Shan-Gui Zhou, En-Guang Zhao, Werner Scheid

Source: https://arxiv.org/







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