1S-2S energy shift in muonic hydrogen

Фаустов, Р. Н.; Krutov, A. A.; Martynenko, A. P.; Martynenko, F. A.; Sukhorukova, O. S.

doi:10.1051/epjconf/201920405005

Cited by 3 publications

(3 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Being 207 times heavier than an electron (mμ = 207 me), and a distinctly small atomic orbitals radii, muonic atoms have an enhanced sensitivity to nuclear structure effects (Kanda, 2022;Godunov and Vysotsky, 2013;Antognini, 2015;Dong et al, 2011;Toth et al, 2021;Antognini et al, 2022). Other nuclear parameters such as root-mean-square radii, electric quadrupole and magnetic dipole moments were also extracted based on theoretical predictions and experimental measurements of the level structure and the transition energies in muonic atoms (Patoary and Oreshkina, 2018;Faustov et al, 2019). Moreover, the analysis of spectroscopic x-ray measurements using muonic transitions revealed some anomalies and disagreements with previous theoretical predictions ( Kardaras and Kosmas, 2015).…”

Section: Introductionmentioning

confidence: 99%

An Analytical Formula for 1s 2s2p 3s3p3d Energy Shifts of Finite-Size Nuclei due to Fluctuating Vacuum Fields

Adamu¹,

Ngadda²

2022

AJBAR

View full text Add to dashboard Cite

In quantum electrodynamics, the vacuum is not empty but has fluctuating fields which cause an orbiting lepton (electron or muon) to deviate from its quantum orbit and as a result, weaken its coupling with the nucleus, thus causing small changes in lepton energy states. Therefore, in this study, the quantum electrodynamics theory is then applied to determine qualitatively the mean square positions of an oscillating lepton by taking into account the vacuum fields and nuclear size effects. The first-order time-independent perturbation theory as an approximation method is applied to solve for the small changes in the nuclear lepton interaction caused by the two effects. The general expression that can be applied to calculate the changes in lepton energy states is deduced and then applied to calculate numerically these effects on the energy states of single-electron and single muonic atoms. The results showed the dependence of these effects on the principal quantum number n, the orbital quantum number l, the azimuthal quantum number m and the proton number Z. A more significant effect on s (l = 0) states of the large atomic nucleus and muonic atoms is observed. The obtained energy level corrections can be considered as additional energy level corrections that have to be investigated for reanalyzing the existing measured nuclear structure effects and for comparison with future spectroscopic investigations. Moreover, the new proposed formula would be suitable for calculating the energy level corrections in both muonic and electronic atoms caused by the fluctuating vacuum fields.

show abstract

Section: Introductionmentioning

confidence: 99%

An Analytical Formula for 1s 2s2p 3s3p3d Energy Shifts of Finite-Size Nuclei due to Fluctuating Vacuum Fields

Adamu¹,

Ngadda²

2022

AJBAR

View full text Add to dashboard Cite

show abstract

“…(1) Hydrogen-like bound-states were investigated in QED with very high accuracy [2][3][4]. Contrary to two-particle bound states three-particle systems were studied on the basis of perturbation theory (PT) and variational approach with smaller accuracy.…”

Section: Introductionmentioning

confidence: 99%

“…Hyperfine structure of 4 He e is determined only by spin-spin interaction of muon and electron. Correction for vacuum polarization to hyperfine splitting has a form:…”

mentioning

confidence: 99%

Energy levels in muonic helium

et al. 2019

View full text Add to dashboard Cite

The energy spectrum of bound states and hyperfine structure of muonic helium is calculated on the basis of stochastic variational method. The basis wave functions of muonic helium are taken in the Gaussian form. The matrix elements of the Hamiltonian are calculated analytically. For numerical calculation a computer code is written in the MATLAB system. As a result, numerical values of bound state energies and hyperfine structure are obtained. We calculate also correction to the structure of the nucleus, vacuum polarization and relativistic correction.

show abstract

Energy Interval 1S–2S in Muonic Hydrogen and Helium

Dorokhov

Martynenko

et al. 2019

J. Exp. Theor. Phys.

Self Cite

View full text Add to dashboard Cite

The energy interval (3S − 1S) in muonic hydrogen is calculated on the basis of quasipotential approach in quantum electrodynamics. We take into account different corrections of orders α 3 ÷ α 6 , which are determined by relativistic effects, the effects of vacuum polarization, nuclear structure and recoil, as well as combined corrections including the above. Nuclear structure effects are expressed in terms of the charge radius of the proton in the case of one-photon interaction and the proton electromagnetic form factors in the case of two-photon exchange interaction. The value of the energy interval (3S − 1S) can be used for a comparison with future experimental data and determining the proton charge radius with greater accuracy.

show abstract

1S-2S energy shift in muonic hydrogen

Cited by 3 publications

References 21 publications

An Analytical Formula for 1s 2s2p 3s3p3d Energy Shifts of Finite-Size Nuclei due to Fluctuating Vacuum Fields

An Analytical Formula for 1s 2s2p 3s3p3d Energy Shifts of Finite-Size Nuclei due to Fluctuating Vacuum Fields

Energy levels in muonic helium

Energy Interval 1S–2S in Muonic Hydrogen and Helium

Contact Info

Product

Resources

About