Accurate computations of bound state properties in three- and four-electron atomic systems in the basis of multi-dimensional gaussoids

TL;DR

This paper presents highly accurate computational methods for determining bound state properties of three- and four-electron atomic systems, including lithium ion and beryllium-7 isotope, using multi-dimensional gaussoids.

Contribution

It introduces a novel variational approach with multi-dimensional gaussoids for precise calculations of atomic bound states and related properties.

Findings

Accurate ground state properties of Li$^{-}$ ion obtained.

Precise evaluation of beryllium-7 isotope half-life.

Demonstrates the effectiveness of multi-dimensional gaussoids in atomic physics.

Abstract

Results of accurate computations of bound states in three- and four-electron atomic systems are discussed. Bound state properties of the four-electron lithium ion Li$^{-}$ in its ground $2^{2}S-$state are determined from the results of accurate, variational computations. We also consider a closely related problem of accurate numerical evaluation of the half-life of the beryllium-7 isotope. This problem is of paramount importance for modern radiochemistry.