<p>In this paper, we study the effect of minimal length formalism on the alpha decay process. We use the deformed Heisenberg uncertainty principle in Schrödinger equation and determine a novel expression of half-life using the Wentzel-Kramers-Brillouin (WKB) method. The effect of minimal length on alpha decay half-lives is studied using tables and figures. The results show the appearance of a correction factor on the probability of tunneling through the coulomb barrier. We compare our results with and without the minimum length again experimental data taken from the literature. We found that our results are in better agreement with the experimental data when we take into account this formalism.</p>

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Effect of minimal length formalism on alpha decay half-life

  • J. L. Adjaba,
  • J. M. Ema’a Ema’a,
  • V. P. Ndzono,
  • P. Mah Tsila,
  • G. H. Ben-Bolie

摘要

In this paper, we study the effect of minimal length formalism on the alpha decay process. We use the deformed Heisenberg uncertainty principle in Schrödinger equation and determine a novel expression of half-life using the Wentzel-Kramers-Brillouin (WKB) method. The effect of minimal length on alpha decay half-lives is studied using tables and figures. The results show the appearance of a correction factor on the probability of tunneling through the coulomb barrier. We compare our results with and without the minimum length again experimental data taken from the literature. We found that our results are in better agreement with the experimental data when we take into account this formalism.