A Mathematica Program Using Isotropic Harmonic Oscillator Eigenstates to Model Alpha-Particle Tunneling Half Life Variability

2001/05/28 by Eugene F. Chaffin, Chaffin, Eugene F., Nicholas W. Gothard +4
Physics and Astronomy · #FOS: Physical sciences #Neutrino Physics Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Mechanics and Applications #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0105070

3 pages, source inlcudes Mathematica program alphdharm.nb

arxiv created 2001/05/28 · openalex publication_date 2001/05/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We have developed a Mathematica program which uses three-dimensional, isotropic harmonic oscillator wavefunctions for the solutions interior to the nucleus, and Coulomb wavefunctions for the exterior. The algorithm enables us to calculate the half life for alpha decay for alpha decay for varying depths of the nuclear potential well.

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