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Research Article Open access CC BY 4.0

Application of JWKB Method on the Effect of Magnetic Field on Alpha Decay

A. T. Ngiangia, M. A. Orukari, F. Jim-George

Asian Research Journal of Mathematics · pp. 1–9 · Published 14 Sep 2018

10.9734/ARJOM/2018/43203

Abstract

The effect of magnetic field on radioactive alpha decay was examined theoretically. The alpha decay and magnetic field potential are added to the time independent Schrodinger wave equation and the Jeffreys, Wentzel, Kramers and Brillouin (JWKB) method was used to examine the  radial part of the Schrodinger equation. The determination of the mean lifetime of the alpha decay and the ratio of the radii showed that the magnetic field, influenced the alpha decay using two radioactive elements. The eigenvalues and eigenfunctions of the model also laid credence to the alteration of the reaction.

JWKB method magnetic field alpha decay mean lifetime tunneling probability radioactivity

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