Application of JWKB Method on the Effect of Magnetic Field on Alpha Decay
A. T. Ngiangia
University of Port Harcourt, P.M.B. 5323, Choba, Port Harcourt, Nigeria.
M. A. Orukari *
Department of Mathematics and Computer Science, Niger Delta University, Amassoma, Bayelsa State, Nigeria.
F. Jim-George
Ignatius Ajuru University of Education, Rumuolumeni, Port Harcourt, Nigeria.
*Author to whom correspondence should be addressed.
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.
Keywords: JWKB method, magnetic field, alpha decay, mean lifetime, tunneling probability, radioactivity