Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2002-06-07
Physics
Nuclear Physics
Nuclear Theory
12 pages, Mathematica notebook reformatted page, deleted figures
Scientific paper
Using the exponentially diffuse boundary potential of Green and Lee (1955), we develop a Mathematica notebook to treat alpha decay by using the complex energy approach of Preston (1947), as modified by Pierronne and Marquez (1978). Our approach allows the potential to change slowly from the well depth of the interior of the nucleus to the top of the Coulomb barrier, rather than the sudden step of the simple square well used by Pierronne and Marquez. Recent interest in possible variation in coupling constants such as the strong coupling alpha_s motivates us to develop this algorithm which can allow numerical study of the variation of the decay constant of a nucleus such as U-238 when the depth of the nuclear potential well changes.
Banks Daniel S.
Chaffin Eugene F.
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