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A new barrier penetration formula and its application to alpha-decay half-lives

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arxiv 0909.1602 v1 pith:OW7BATRI submitted 2009-09-09 nucl-th

classification nucl-th
keywords formulabarrierpenetrationcoulombhalf-livesagreeagreementalpha
verification ladder T0 review T1 audit T2 compute T3 formal
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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 alpha decay half-lives of atomic nuclei and a good agreement with the experiment is obtained.

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