Deuteron nuclear polarization shifts with realistic potentials

Leidemann, Winfried; Rosenfelder, R.

doi:10.1103/physrevc.51.427

Cited by 41 publications

(76 citation statements)

References 19 publications

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“…Fortunately, there exist a number of phenomenological potentials which describe the properties of the deuteron in all details. Some calculations with realistic proton-neutron potentials were performed recently [185][186][187][188]. The most precise results were obtained in [188] ∆E(1S − 2S) = 18.58 (7) kHz,…”

Section: Empirical Nuclear Form Factor and The Contributions To Thmentioning

confidence: 95%

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Theory of light hydrogenlike atoms

2001

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The present status and recent developments in the theory of light hydrogenic atoms, electronic and muonic, are extensively reviewed. The discussion is based on the quantum field theoretical approach to loosely bound composite systems. The basics of the quantum field theoretical approach, which provide the framework needed for a systematic derivation of all higher order corrections to the energy levels, are briefly discussed. The main physical ideas behind the derivation of all binding, recoil, radiative, radiative-recoil, and nonelectromagnetic spin-dependent and spin-independent corrections to energy levels of hydrogenic atoms are discussed and, wherever possible, the fundamental elements of the derivations of these corrections are provided. The emphasis is on new theoretical results which were not available in earlier reviews. An up-to-date set of all theoretical contributions to the energy levels is contained in the paper. The status of modern theory is tested by comparing the theoretical results for the energy levels with the most precise experimental results for the Lamb shifts and gross structure intervals in hydrogen, deuterium, and helium ion He + , and with the experimental data on the hyperfine splitting in muonium, hydrogen and deuterium. *

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Section: Empirical Nuclear Form Factor and The Contributions To Thmentioning

confidence: 95%

“…(186). Since the P -state wave functions vanish at the origin there are no charge radius squared contributions of lower order, unlike the case of S states, and we immediately obtain [165] ∆E(nP j ) = (n 2 − 1)(Zα)…”

Section: Correction To the Np -Levelsmentioning

confidence: 99%

Theory of light hydrogenlike atoms

2001

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“…There have been several calculations of these corrections for deuterium [6,7,8,9,10,11]. The bulk of the effect (≈19 kHz in toto) is caused by the Coulomb interaction distorting the nucleus (≈17 kHz) with a smaller (≈2 kHz) contribution from the virtual transverse photons.…”

Section: Introductionmentioning

confidence: 99%

“…There exists a single calculation [7], using first-generation nuclear potentials, that goes beyond the unretarded-dipole approximation and includes retardation, higher multipoles, the effect of the finite sizes of the nucleons, seagulls, and even mesonexchange currents. Results for this calculation are smaller by ∼ > 0.5 kHz than for those using the unretarded-dipole approximation.…”

Section: Introductionmentioning

confidence: 99%

Higher-order nuclear-polarizability corrections in atomic hydrogen

Friar

Payne

1997

Phys. Rev. C

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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, for a total polarization correction of 18.58(7) kHz. Our results are in agreement with one previous numerical calculation, and the retardation corrections completely account for the difference between two previous calculations. The uncertainty in the deuterium polarizability correction is substantially reduced. At the level of 0.01 kHz for deuterium, only three primary nuclear observables contribute: the electric polarizability, α E , the paramagnetic susceptibility, β M , and the third Zemach moment, r 3 (2) . Cartesian multipole decomposition of the virtual Compton amplitude and its concomitant gauge sum rules are used in the analysis.

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“…This is the main approximation of our approach, which may not always be valid. It was checked however that higher order polarizabilities are quite small (below 1 kHz) for deuterium [5,6], and this should be similar for He isotopes. Within this low electromagnetic momentum approximation, the nuclear polarizability correction to the energy is given by the following formula [7] (in unitsh = c = 1, e 2 = 4 π α):…”

mentioning

confidence: 99%