0THEORETICAL EVALUATION OF STEPSAPPROACHING ZERO EMISSION ON A DOUBLE THICK BARRIER OF A GAMMA PARTICLE

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0THEORETICAL EVALUATION OF STEPSAPPROACHING ZERO EMISSION ON A DOUBLE THICK BARRIER OF A GAMMA PARTICLE

¹E. W. Likta, ²M. A. Abdul Azeez, ² F. W. Burari and ² O. W. Olasoji

¹ Department of Physics, University of Maiduguri, Maiduguri, Borno State, Nigeria

² Department of Physics, AbubakarTafawaBalewa University, Bauchi, Nigeria

Email: emmalikta2014@gmail.com

ABSTRACT

The goal of this work is to obtain tunneling probability of a gamma particle. The application of Schrӧdinger’s equation in barrier penetration has been applied to gamma particle decay for light, medium and heavy nuclei. Gamma particle tunneling probability has been calculated analytically. Decay probability computed for each gamma particle emitting nucleus shows interesting variations. Log plot of calculated Decay constant plotted against atomic number (Z), mass number (A) and Energy for gamma particle emitting nucleus shows the variations interesting.   Half-life which is a function of decay probability plotted against gamma particle energy or against atomic number of gamma particle emitting nucleus shows the variations of decay probabilities. Log plot of Calculated Half-life plotted against atomic number (Z), mass number (A) and Energy for gamma particle emitting nucleus shows interesting variations of decay probabilities. Calculated half-lives compared with experimental half-lives for each gamma particle emitting nucleus shows results which are in good agreement.

Key word:Schrӧdinger’s equation, Emission, Half-life,Gamma and Decay constant.

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