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Abstract
Energies and radiative transition rates of electronic K x-rays in light muonic atoms have been calculated for various muonic states. The energy eigenvalues and wave functions of atomic electrons and the muon are obtained by solving the equation for the electron-muon system self-consistently. The x-ray energies are expressed as difference from the energy of the ordinary x-rays with atomic number (Z − 1) and the radiative rates are obtained as the ratio to the values for (Z − 1) atom. The energy shifts and relative radiative rates are studied as a function of n and l of the muonic state. The effect of additional vacancies in the electronic 2p orbital on the K-x-ray energies and radiative transition rates is discussed.Graphical abstract
Highlights
When negative muons are slowing down and stop in matters, they are usually captured by atoms of the target materials and muonic atoms are formed
For heavy muonic atoms Vogel [11] and Schneuwly and Vogel [5] indicated that the energy shifts of the electronic K x-rays in solid and metallic targets are mainly influenced by the atomic state of the muon, and the vacancy distribution plays a minor role
The energy shifts and relative radiative rates of electronic Kα x-rays were calculated for light muonic atoms with various states of the muon
Summary
When negative muons are slowing down and stop in matters, they are usually captured by atoms of the target materials and muonic atoms are formed. For electronic x-rays from muonic atoms, energy shifts have been observed [3–6] and it is expected that the x-ray emission rates or relative intensities of x-ray transitions are changed. These results are attributed to two effects, i.e. screening of the nuclear charge by the muon and existence of vacancies created in the electronic shells during muonic cascade. In the former case, the x-ray energies become lower than those in the ordinary atom due to the increase in screening and the radiative transition rates are slightly smaller. We consider the muonic atom in the form of μ−M+, where M is the metallic element
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