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Higher-order nuclear-polarizability corrections in atomic hydrogen

1997/04/15 by J. L. Friar, G. L. Payne · 4 citations
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic and Molecular Physics #Nuclear physics research studies #nucl-th #physics.atom-ph

paper · pdf · doi:10.1103/physrevc.56.619

published as Phys.Rev.C56:619-630,1997 · 26 pages, latex, 1 figure -- Submitted to Phys. Rev. C -- epsfig.sty required

arxiv created 1997/04/15 · openalex publication_date 1997/08/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 \ensuremath-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 \ensuremathαE, the paramagnetic susceptibility \ensuremathβM, and the third Zemach moment 〈r3(2). Cartesian multipole decomposition of the virtual Compton amplitude and its concomitant gauge sum rules are used in the analysis.

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