THE TUNNEL EFFECT FOR EXAMPLE OF A URANIUM NUCLEUS

Abstract

Aim of the article is to consider a simplified model of tunneling of an α-particle in the uranium nucleus. Methodology. Based on the combination of two quantum-mechanical models, the transparency of the potential barrier as a function of the main quantum number is calculated. Results. The transparency of the potential barrier for α-particle in the field of nuclear forces of uranium is calculated depending on the main quantum number. Research implications. The functional dependence of the barrier transparency on the main quantum number is constructed, and the results obtained are discussed.

Keywords

• wave function
• probability density
• potential well
• potential barrier
• α-decay
• the transparency of the barrier