The WKB method for the quantum mechanical two-Coulomb-center problem

Hnatich, M.; Khmara, V. M.; Lazur, V. Yu.; Reity, O. K.

doi:10.1134/s0040577917030047

Cited by 5 publications

(4 citation statements)

References 20 publications

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“…Perspectives -In contrast to perturbation theory, the semiclassical approximation is not related to the smallness of the interaction which suits for problems of heavy atoms in the regime of inertial fusion and fast ignition. The next step is use a modified perturbation theory, with which it is possible to obtain asymptotic expressions for the two-center quasiradial and quasiangular wave functions for large inter-nuclear distances as shown in [23]. It is shown that in each order of 1/R, corrections to the wave functions are expressed in terms of a finite number of Coulomb functions with a modified charge.…”

Section: Discussionmentioning

confidence: 99%

Enhanced Fusion Mechanisms Towards Synthesizing Superheavy Elements

Bolivar

Vasilev

2021

EJENG

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In nature all of the heavy elements are produced by nuclear fusion reactions, mostly in supernova explosions and neutron star collisions, so, this is to date the only known and proven mechanism to produce heavy elements in usable quantities. In this work we approach a difficult challenge, namely, the possibility of fusion of heavy elements, taking as a test case the heaviest observationally stable element - ²³?U, showing that it is feasible, at least in principle with the help of existing technologies. The main idea behind is to show that fusion of lighter - than z=184 - nuclei is conceptually viable examining the tunnel effect assisted by an auxiliary field that will produce a Sauter like effect, and this is the pathway to explore the synthesis of elements higher than z=118. The production of theoretical untested elements like Unoctquadium-184 or close Z species could open a new chapter in the physics of super-heavy elements, and leads to a deeper understanding of nuclear decay channels and stability conditions. Nuclear fusion of heavy elements will open the breach to produce neutron rich elements, so we may obtain a deep insight into the physics of the island of stability. This work will review basic aspects of fusion physics related to the assisted fusion mechanism. An enhanced fusion perspective is found generalizing the work of [1] to space dependent fields and the cases of ²H, ¹??Pd and ²³?U are presented for several test fields. A final section reviewing laser confinement fusion actual experiments capable of achieving the required energies is also reported.

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Section: Discussionmentioning

confidence: 99%

Enhanced Fusion Mechanisms Towards Synthesizing Superheavy Elements

Bolivar

Vasilev

2021

EJENG

View full text Add to dashboard Cite

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“…Their explicit expressions are given in [7]. Note also that the expression for C 0 contains a misprint: the additional factor √ γ [n 2 !…”

Section: Mathematical Modeling and Computational Physics 2017mentioning

confidence: 99%

“…The perturbation theory is not sufficient in this area of the under-barrier electron motion. Therefore, we propose to use the quasiangular WKB-function [6,7] …”

Section: The Wave Functions Of the Two-coulomb-centre Problemmentioning

confidence: 99%