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

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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