A NEW BARRIER PENETRATION FORMULA AND ITS APPLICATION TO α-DECAY HALF-LIVES

Author:

LI LU-LU1,ZHOU SHAN-GUI12,ZHAO EN-GUANG123,SCHEID WERNER4

Affiliation:

1. Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

2. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China

3. School of Physics, Peking University, Beijing 100871, China

4. Institute for Theoretical Physics of Justus-Liebig-University, 35392 Giessen, Germany

Abstract

Starting from the WKB approximation, a new barrier penetration formula is proposed for potential barriers containing a long-range Coulomb interaction. This formula is especially proper for the barrier penetration with penetration energy much lower than the Coulomb barrier. The penetrabilities calculated from the new formula agree well with the results from the WKB method. As a first attempt, this new formula is used to evaluate α-decay half-lives of atomic nuclei and a good agreement with the experiment is obtained.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Nuclear and High Energy Physics

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