Precision Calculations for Three-Body Molecular Bound States

Karr, Jean‐Philippe; Haidar, Mohammad; Hilico, Laurent; Korobov, V. I.

doi:10.1007/978-3-030-32357-8_14

Cited by 3 publications

(2 citation statements)

References 62 publications

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“…An impressive improvement has been witnessed in recent years in HD + theory (123) and experiments (37,124,125), so that the precision reached has become sensitive to the proton radius puzzle. The transition frequencies in HD + can be expressed as:…”

Section: Hd + H +mentioning

confidence: 99%

The proton structure in and out of muonic hydrogen

Antognini¹,

Hagelstein²,

Pascalutsa³

2022

Preprint

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Advances in laser spectroscopy of light muonic atoms led to an order-ofmagnitude improvement in the determination of the proton, deuteron, and helium-4 charge radii. This resulted in a number of tensions with previous measurements, based on electron scattering and spectroscopy of ordinary atoms; most notably, the "proton radius puzzle". We start with an introduction to nuclear effects in hydrogen-like atoms, including a discussion of radiative corrections. We briefly review the current status of the nucleon structure quantities (form factors, polarized and unpolarized structure functions, polarizabilities) and of their effect in the Lamb shift and hyperfine splitting (hfs) of muonic hydrogen (µH) through forward two-photon exchange. Updated theory predictions for the Lamb shift and hfs in µH are presented. Focusing on the groundstate hfs in µH, we review the challenges of the ongoing effort to produce a first-ever measurement of this fundamental quantity, and of its potential impact on our understanding of the nucleon spin structure. We show that, leveraging radiative corrections, a novel theory prediction based on the empirical hfs in hydrogen allows to narrow down the search for the transition considerably. We summarize the very recent developments in the field of spectroscopy of simple atomic and molecular systems, with emphasis on how they, together with the scattering studies, allow for precise determinations of fundamental constants, bound-state QED tests, and New Phyics searches. We conclude with prospects for theoretical developments and an outlook on the ongoing and planned experiments at both the scattering and atomic facilities.

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Section: Hd + H +mentioning

confidence: 99%

The proton structure in and out of muonic hydrogen

Antognini¹,

Hagelstein²,

Pascalutsa³

2022

Preprint

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show abstract

“…Other interesting three-body systems are molecular ions. Precision values of the proton and deuteron radii play an increasingly important role also for the precise predictions of the HD + energy levels given the spectacular advances both in theory and experiment [44][45][46][47]. With R ∞ and nuclear charge radii obtained by combining µp and H measurements, and the electron/proton and proton/deuteron mass ratios from Penning trap measurements, the HD + theory has been verified at the 2 × 10 −11 level, representing the best test of a three-body system.…”

Section: Theory Testsmentioning

confidence: 99%

Muonic-Atom Spectroscopy and Impact on Nuclear Structure and Precision QED Theory

Antognini¹,

Bacca²,

Fleischmann³

et al. 2022

Preprint

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The Proton Structure in and out of Muonic Hydrogen

Antognini

Hagelstein

Pascalutsa

2022

Annu. Rev. Nucl. Part. Sci.

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Laser spectroscopy of muonic atoms has been recently used to probe properties of light nuclei with unprecedented precision. We introduce nuclear effects in hydrogen-like atoms, nucleon structure quantities (form factors, structure functions, polarizabilities), and their effects in the Lamb shift and hyperfine splitting (HFS) of muonic hydrogen (μH). Updated theory predictions for the Lamb shift and HFS in μH are presented. We review the challenges of the ongoing effort to measure the ground-state HFS in μH and its impact on our understanding of the nucleon spin structure. To narrow down this search, we present a novel theory prediction obtained by scaling the measured HFS in hydrogen while leveraging radiative corrections. We also summarize recent developments in the spectroscopy of simple atomic and molecular systems and emphasize how they allow for precise determinations of fundamental constants, bound-state QED tests, and New Physics searches.

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Precision Calculations for Three-Body Molecular Bound States

Cited by 3 publications

References 62 publications

The proton structure in and out of muonic hydrogen

The proton structure in and out of muonic hydrogen

Muonic-Atom Spectroscopy and Impact on Nuclear Structure and Precision QED Theory

The Proton Structure in and out of Muonic Hydrogen

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