Abstract
A new method is proposed for evaluating electric multipole transition radial (EMTR) matrix elements of the hydrogen-like atoms using the expansion formulae suggested by one of the authors for the radial parts of ψα-exponential type orbitals (ψα-ETO) in terms of radial parts of Slater type orbitals (STO), where α is the frictional quantum number (−∞<α≤2). A comparative study is carried out between the proposed analytical computations and other numerical simulations. The effectiveness and accuracy of the obtained analytical expressions are demonstrated by calculation of concrete cases.
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