Precision physics of muonic ions of lithium, beryllium and boron

2021 ◽  
Vol 36 (04) ◽  
pp. 2150022
Author(s):  
A. E. Dorokhov ◽  
R. N. Faustov ◽  
A. P. Martynenko ◽  
F. A. Martynenko

The problem of determining the main parameters of light nuclei from precision atomic spectroscopy is considered. Within the framework of the quasipotential method in quantum electrodynamics, the energy interval [Formula: see text] in muonic ions of lithium, beryllium and boron is calculated. Corrections of orders [Formula: see text], which are determined by relativistic effects, effects of vacuum polarization, nuclear structure and recoil, as well as combined corrections, including the above, are taken into account. Nuclear structure effects are expressed in terms of the nuclear charge radius in the case of one-photon interaction and the electromagnetic form factors of nuclei in the case of two-photon interaction. The obtained numerical values for the [Formula: see text] interval can be used for comparison with future experimental data and for a more accurate determination of the nucleus charge radii.

2019 ◽  
Vol 204 ◽  
pp. 05005 ◽  
Author(s):  
R. N. Faustov ◽  
A. A. Krutov ◽  
A. P. Martynenko ◽  
F. A. Martynenko ◽  
O. S. Sukhorukova

We calculate corrections of orders α4, α5, α6 to the (1S – 2S) fine structure interval in muonic hydrogen (μp), muonic tritium (μt) and muonic helium ion $$((\mu _2^3He) + )$$. They are determined by the effects of vacuum polarization, nuclear structure and recoil and relativistic corrections. The nuclear structure effects are taken into account in terms of the charge radii of the nuclei in one-photon interaction and in terms of electromagnetic form-factors in the case of two-photon interaction. The obtained results for the (1S – 2S) splitting can be used for a comparison with future experimental data.


Author(s):  
Roger H. Stuewer

Serious contradictions to the existence of electrons in nuclei impinged in one way or another on the theory of beta decay and became acute when Charles Ellis and William Wooster proved, in an experimental tour de force in 1927, that beta particles are emitted from a radioactive nucleus with a continuous distribution of energies. Bohr concluded that energy is not conserved in the nucleus, an idea that Wolfgang Pauli vigorously opposed. Another puzzle arose in alpha-particle experiments. Walther Bothe and his co-workers used his coincidence method in 1928–30 and concluded that energetic gamma rays are produced when polonium alpha particles bombard beryllium and other light nuclei. That stimulated Frédéric Joliot and Irène Curie to carry out related experiments. These experimental results were thoroughly discussed at a conference that Enrico Fermi organized in Rome in October 1931, whose proceedings included the first publication of Pauli’s neutrino hypothesis.


1979 ◽  
Vol 62 (3) ◽  
pp. 706-712 ◽  
Author(s):  
K. Koshigiri ◽  
H. Ohtsubo ◽  
M. Morita

2018 ◽  
Vol 15 (12) ◽  
pp. 125204
Author(s):  
Haiming Yuan ◽  
Chunfeng Wu ◽  
Decun Li ◽  
Mei Li ◽  
Xun-Li Feng ◽  
...  

2007 ◽  
Vol 73 (4) ◽  
pp. 599-611 ◽  
Author(s):  
D. B. MELROSE

AbstractThe collision integral that describes the evolution of a distribution of particles in a plasma due to Coulomb interactions between themselves or with other particles is generalized to include relativistic effects and the current–current interaction (in addition to the charge–charge interaction). This is achieved through a covariant version of a conventional derivation based on correlation functions for fluctuations in the plasma. The covariant theory is used to distinguish between longitudinal (charge–charge) and transverse (current–current) interactions. For highly relativistic particles, the current–current contribution is half the charge–charge contribution when Debye screening is unimportant, and is unaffected by Debye screening. It is shown that the classical theory is reproduced by a quantum electrodynamics calculation for electron–electron (Møller) scattering in the limit of small momentum transfer.


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