Deuteron polarizability shifts and the deuteron matter radius

Abstract

New laser-based measurements of the isotope shift between hydrogen and deuterium by Hansch et al. should determine accurately the deuteron matter radius r . We study the contribution of the deuteron polarizability energy shifts to the isotopic difference and show that this is known in a model independent way. We also make accurate determinations of the asymptotic normalization and the electric dipole polarizability by exploiting empirical linear relations between them and r PACS uumber(s): 32.30.Jc, 32.10.Bi, 21.10.Ft

Meson and Quark Degrees of Freedom and the Radius of the Deuteron

“…They favor the value obtained in the atomic physics experiment as Ref. [26] also concludes for its calculations. According to the results of Refs.…”

“…In addition and to the distress of theoreticians, no calculation based on realistic deuteron wave functions is able to account for the small deuteron charge radius as obtained from the elastic electron scattering experiments. This failure, being also of order 1%, has been demonstrated before for the deuteron matter radius r m where the value resulting from the electron scattering data according to Table 2 (r m = 1.950(3) fm) and the value based on the experimental scattering length (r m = 1.969(4) fm) [1,26], using the empirical linear relation of theoretical nature, are in serious conflict. The discrepancy between experimental data and theoretical predictions lead to the speculations of Refs.…”

“…[23]. A clear 1% discrepancy between the deuteron charge radius extracted from elastic electron scattering and from the atomic physics experiment surfaces and has been known for some time [10,26]; this is a discrepancy between experimental data. This discrepancy remains unexplained and is disturbing.…”

Higher-order nuclear-polarizability corrections in atomic hydrogen

“…Similar techniques were used in Refs. [6,8]. We introduce the inelastic transition densities (squared)…”

“…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.…”