Calculation of the Critical Distances in a System of Two Colliding Nuclei Beyond the Monopole Approximation


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Abstract

A method for calculating electronic levels in compact superheavy nuclear quasimolecules based on solving the Dirac equation in spherical coordinates using a multipole expansion of a two-center potential is developed. It is shown that, for internuclear distances up to ∼100 fm, such a technique enables fast convergence, which allows one to calculate the electronic energy levels with an accuracy better than 10−6. Moreover, all the multipole moments can be calculated analytically. The critical distances between the similar colliding nuclei have been calculated in the range Z ∼ 87–100 for bottom electronic levels: even 1σg and odd 1σu, respectively.

About the authors

A. A. Roenko

Bogoliubov Laboratory of Theoretical Physics

Author for correspondence.
Email: roenko@physics.msu.ru
Russian Federation, Dubna, Moscow oblast, 141980

K. A. Sveshnikov

Faculty of Physics

Email: roenko@physics.msu.ru
Russian Federation, Moscow, 119234

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