Nature of the Darwin term and (Zα)4m3/M2 contribution to the Lamb shift for an arbitrary spin of the nucleus

  title={Nature of the Darwin term and (Z$\alpha$)4m3/M2 contribution to the Lamb shift for an arbitrary spin of the nucleus},
  author={Iosif B. Khriplovich and A. I. Milstein and R. A. Sen'kov},
  journal={Journal of Experimental and Theoretical Physics},
The contact Darwin term is demonstrated to be of the same origin as the spin-orbit interaction. The (Zα)4m3/M2 correction for the Lamb shift, generated by the Darwin term is found for an arbitrary nonvanishing spin of the nucleus, both half-integer and integer. There is also a contribution of the same nature to the nuclear quadrupole moment. 
23 Citations

Subtractions and the effective Salpeter term for the Lamb shift in muonic atoms with the nuclear spin I ≠ 1∕2

Abstract While taking into account the nuclear-structure contributions to the Lamb shift, one has to make various subtractions for the two-photon exchange contributions. Such subtractions should be

Leading-order relativistic corrections to the rovibrational spectrum of H2+ and HD+ molecular ions

High-precision variational calculations of the operators for the relativistic corrections in the leading $m\alpha^4$ order are presented. The ro-vibrational states in the range of the total orbital

Leading-order relativistic corrections to the rovibrational spectrum of $\text{H}_2\,\!^+$ and ${\rm HD}^+$ molecular ions

D. T. Aznabayev,1,2,3 A. K. Bekbaev,1,4 and Vladimir I. Korobov1,5 1Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia 2The Institute of Nuclear

Hyperfine structure of S-states in muonic ions of lithium, beryllium and boron

On the basis of quasipotential method in quantum electrodynamics we make precise calculation of hyperfine structure of S-states in muonic ions of lithium, beryllium and boron. Nuclear structure and

Theory of the lamb shift in muonic deuterium

We present new calculation of the Lamb shift (2P1/2 − 2S1/2), fine splitting of the 2P state and hyperfine splitting of the 2S state in muonic deuterium (µd) using the quasipotential method in

Relativistic recoil corrections to the electron-vacuum-polarization contribution in light muonic atoms

The relativistic recoil contributions to the Uehling corrections are revisited. We consider a controversy in recent calculations based on different approaches including Breit-type and Grotch-type

Universality of leading relativistic corrections to bound state gyromagnetic ratiosThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at École de Physique, les Houches, France, 30 May – 4 June, 2010.

We discuss the leading relativistic (nonrecoil and recoil) corrections to bound state g-factors of particles with arbitrary spin. These corrections are universal for any spin and depend only on the

Proton radius, Darwin-Foldy term and radiative corrections

Abstract. We discuss the role of the so-called Darwin-Foldy term in the evaluation of the proton and deuteron charge radii from atomic hydrogen spectroscopy and nuclear scattering data. The question

Universal binding and recoil corrections to bound state g factors in hydrogenlike ions.

It is shown that universality of the leading relativistic and recoil corrections can be explained with the help of the Bargmann-Michael-Telegdi equation and nonrelativistic quantum electrodynamics is developed for charged particles with an arbitrary spin.



Theory of the energy levels and precise two-photon spectroscopy of atomic hydrogen and deuterium

In last few years significant progress has been achieved both in the experimental technique and the theoretical methods for the determination of the energy levels of simple hydrogenic systems. We

Nuclear-spin-dependent recoil correction to the Lamb shift

A new recoil correction to the Lamb shift of order ( mu 3/M2)(Z alpha )4 has been found. This correction depends on the nuclear spin, and is associated with the absence of a zitterbewegung term in

Precision measurement of the isotope shift of the 1S-2S transition of atomic hydrogen and deuterium.

The isotope shift of the 1S-2S transition of hydrogen and deuterium has been directly measured to an accuracy of 3.7×10 -8 and the 2.5σ difference between the predicted and the measured values may be interpreted in terms of polarizability of thedeuterium nucleus.

Precision measurement of the 1S ground-state Lamb shift in atomic hydrogen and deuterium by frequency comparison.

  • WeitzHuber Biraben
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1995
The precision of the value for the 1S Lamb shift has surpassed that of radio frequency measurements of the 2S-2P Lamb shift and the Rydberg constant R(i)nfinity is deduced.

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