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Formulas for the combined nuclear-recoil and finite-nuclear-size effects of order $(Z\,\alpha)^5$ and $(Z\,\alpha)^6$ are derived without any expansion in the nuclear charge radius $r_C$, making them applicable to both electronic and muonic…

原子物理 · 物理学 2025-03-31 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

The radiative correction to the nuclear charge radius contribution to the Lamb shift of order $\alpha(Z\alpha)^5m_r^3<r^2>$ is calculated. In view of the recent high precision experimental data, this theoretical correction produces a…

高能物理 - 唯象学 · 物理学 2014-11-17 Michael I. Eides , Howard Grotch

Darwin-Foldy nuclear-size corrections in electronic atoms and nuclear radii are discussed from the nuclear-physics perspective. Interpretation of precise isotope-shift measurements is formalism dependent, and care must be exercised in…

核理论 · 物理学 2008-11-26 J. L. Friar , J. Martorell , D. W. L. Sprung

The deuteron charge radius is calculated from the measurement of the Lamb shift in muonic deuterium, taking into account the electron vacuum polarization correction to the nuclear-structure effects. This correction is unexpectedly large and…

原子物理 · 物理学 2019-03-27 Marcin Kalinowski

The analytical calculation of the complete $\alpha\,(Z\,\alpha)^6$ one-loop radiative correction to energies of two-body systems with the angular momenta $l>0$, consisting of a pointlike particle and an extended-size nucleus with arbitrary…

原子物理 · 物理学 2024-08-13 Vojtěch Patkóš , Krzysztof Pachucki

Radiative corrections are calculated for antineutrino proton quasielastic scattering, neutrino deuteron scattering, and the asymmetry of polarised neutron beta decay from which $G_{A}/G_{V}$ is determined. A particular emphasis is given to…

高能物理 - 唯象学 · 物理学 2015-06-25 T. Kubota , M. Fukugita

Nuclear-size corrections of order $(Z \alpha)^5$ and $(Z \alpha)^6$ to the S-state levels of hydrogenic atoms are considered. These nuclear-elastic contributions are somewhat smaller than the polarizability (nuclear-inelastic) corrections…

核理论 · 物理学 2008-11-26 J. L. Friar , G. L. Payne

Radiative corrections to the decay rate in the low-Z hydrogen-like muonic atoms are considered. The correction arises from the Uehling potential and it has the relative order of alpha. The numerical results are reported for the 2p-1s…

原子物理 · 物理学 2009-10-30 Savely G. Karshenboim , Vladimir G. Ivanov

The self-energy and the vertex radiative corrections to the effect of parity nonconservation in heavy atoms are calculated analytically in orders Z alpha^2 and Z^2 alpha^3 ln(lambda_C/r_0), where lambda_C and r_0 being the Compton…

高能物理 - 唯象学 · 物理学 2009-11-07 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

The finite-nuclear size correction to the fine structure of muonic atoms are considered. The procedure for the analytical calculation of the energies and wave functions has been derived in a homogeneously charged sphere nuclear charge…

原子物理 · 物理学 2017-11-20 Abu Saleh Musa Patoary , Natalia S. Oreshkina

The reduced-mass dependence of relativistic and radiative effects in simple muonic bound systems is investigated. The spin-dependent nuclear recoil correction of order (Zalpha)^4 mu^3/m_N^2 is evaluated for muonic hydrogen and deuterium,…

原子物理 · 物理学 2012-06-29 U. D. Jentschura

We calculate the second-order corrections to the atomic energy level shifts in ordinary and muonic deuterium due to virtual excitations of the deuteron which are important for ongoing and planned precise experiments in these systems. For…

核理论 · 物理学 2009-10-22 Yang Lu , R. Rosenfelder

We consider one-loop self-energy and vacuum polarization radiative corrections to the shift of atomic energy level due to finite nuclear size. Analytic expressions for vacuum polarization corrections are derived. For the self-energy of p1/2…

原子物理 · 物理学 2009-11-10 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

Nuclear-polarizability corrections that go beyond unretarded-dipole approximation are calculated analytically for hydrogenic (atomic) S-states. These retardation corrections are evaluated numerically for deuterium and contribute -0.68 kHz,…

核理论 · 物理学 2008-11-26 J. L. Friar , G. L. Payne

On the basis of quasipotential method in quantum electrodynamics we calculate nuclear finite size radiative corrections of order $\alpha(Z\alpha)^5$ to the hyperfine structure of S-wave energy levels in muonic hydrogen and muonic deuterium.…

高能物理 - 唯象学 · 物理学 2015-06-18 R. N. Faustov , A. P. Martynenko , G. A. Martynenko , V. V. Sorokin

A study is made of nuclear size corrections to the energy levels of single-electron atoms for the ground state of hydrogen like atoms. We consider Fermi charge distribution to the nucleus and calculate atomic energy level shift due to the…

原子物理 · 物理学 2017-01-02 Babak Nadiri Niri

We calculate the self-energy and the vertex radiative corrections to the effect of parity nonconservation in heavy atoms. The sum of the corrections is of the form ${\cal A}\ln(\lambda_C/r_0)+{\calB}$, where ${\cal A}$ and ${\cal B}$ are…

高能物理 - 唯象学 · 物理学 2008-11-26 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

Nuclear structure corrections to energy levels of light muonic atoms are derived with particular attention to the nuclear mass dependence. The obtained result for the 2P-2S transition of 1.717(19) meV serves for determination of the nuclear…

原子物理 · 物理学 2015-05-20 Krzysztof Pachucki , Albert Wienczek

The nuclear recoil effect, known also as the mass shift, is one of theoretical contributions to the energy levels in muonic atoms. Accurate theoretical predictions are therefore needed for extracting e.g. the nuclear charge radii from…

原子物理 · 物理学 2023-12-08 Vladimir A. Yerokhin , Natalia S. Oreshkina

The inverse $\beta$-decay reaction, $ \bar{\nu}_e p \to e^+ n$, for low-energy anti-neutrinos coming from nuclear reactors is of great current interest in connection with high-precision measurements of the neutrino mixing angle…

核理论 · 物理学 2013-01-09 Udit Raha , Fred Myhrer , Kuniharu Kubodera
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