Tunneling Through Rectangular Potential Barrier: Revisiting the Systematics of Alpha-decay

Resonance

article

S Nath¹  P Mandal¹ 

[1] Department of Physics, St. Paul's Cathedral Mission College

关键词: alpha-decay;    Geiger--Nuttal law;    Coulomb barrier;    rectangular potential barrier;    quantum tunneling.;   

DOI  :  10.1007/s12045-022-1368-4

学科分类：社会科学、人文和艺术（综合）

来源: Springer

【 摘 要 】

The problem of tunneling through a rectangular potential barrier hasbeen reviewed, and the result is applied to study the systematics ofalpha-disintegration of even-even alpha-emitters in thorium series.The Coulomb potential barrier outside the nucleus is modeled as a rectangular potential barrier of height equal to the average valueover the classically forbidden region. The barrier heights andwidths, and hence the decay constants and half-lives, are calculatedfor the nuclei under study. The calculated half-lives, thoughdeviate by order of magnitudes from the known values, show asystematic variation with $Z/\sqrt{E}$ ($Z$ is the atomic number ofthe alpha-emitter and $E$ is the disintegration energy) asconsistent with observation and theoretical explanation putforwarded by Gamow, Gurney, and Condon. We study the problemwithin the scope of the CBCS syllabus at the undergraduate level.

【 授权许可】

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