Reanalysis of muonic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Zr</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>90</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Pb</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>208</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>atoms

Haga, Akihiro; Horikawa, Yoko; Toki, H.

doi:10.1103/physrevc.75.044315

Cited by 8 publications

(16 citation statements)

References 58 publications

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“…A conservative estimate is that such an interpretation would require an improvement in the discrepancy between theory and experiment, from about 20 years back, by a factor of 1000 − 10000. The recent, partial resolution of the long standing discrepancy in the ∆2p and ∆3p NP calculations with results from muonic lead spectroscopy [40,41] by A. Haga and co-workers [39] is a promising step in this direction.…”

Section: Discussionmentioning

confidence: 99%

“…It was noted in the past that there is a discrepancy in the ∆2p and ∆3p NP calculations with results from muonic lead spectroscopy [40,41]. This discrepancy seems to have been partially tackled in the work of A. Haga et al [39] and the current discrepancy for ∆2p is in the ball-park of about 50 eV as shown in Table III. 47.197(45) Historically the spectroscopic information from low-lying muonic lead transitions was used to constrain parameters in the theoretical nuclear calculations.…”

Section: Muonic Atoms and Energy Shiftsmentioning

confidence: 98%

“…The interested reader is referred to theoretical details in [34] and references therein. [39], for example). In Table II we give the current estimates of nuclear polarization (NP) effects in µ − − Pb 208 82 for three different models of transition densities as quoted in [39].…”

Section: Muonic Atoms and Energy Shiftsmentioning

confidence: 99%

“…In fact it may be verified analytically from Eqs. (36), (37), (39) and (40) that for j = 1 + η with η ≪ 1 we may expand…”

Section: Muonic Atoms and Energy Shiftsmentioning

confidence: 99%

“…Comparison of ∆p splittings (KeV) in µ − − Pb 208 82[39] based on the QED results inTable I and NP calculations in Table II.…”

mentioning

confidence: 99%

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Bound states and fermiophobic unparticle oblique corrections to the photon

Thalapillil

2010

Phys. Rev. D

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We study the effects of fermiophobic scalar/pseudo-scalar oblique corrections on bound state energy levels in muonic atoms. To make the treatment sufficiently general, while including ordinary scalar and axion-like pseudo-scalar fields as special cases, we consider Unparticle scalar/pseudoscalar operators with couplings predominantly to photons. We derive the relevant vacuum polarization functions and comment on the functional forms of the Unparticle Uehling potentials for various scaling dimensions in the point nucleus and finite nucleus approximations. It is estimated that for an infra-red fixed point near the scale of electroweak symmetry breaking, in the low TeV range, and natural values for the model parameters, the energy shifts in the low-lying muonic lead transitions are typically of the order of a few times 0.1 eV to a few times 0.01 eV. The energy level structure of the Unparticle Uehling shifts are inferred using general methods for the scalar and pseudo-scalar cases and it is shown that the two cases contribute to the energy shifts with the same sign. It is shown that this conclusion is not changed even when scale invariance is broken and is in fact relatively insensitive to the scale at which it is broken. It is pointed out nevertheless that the estimated magnitude of the Unparticle Uehling shift (based on some natural values for the model parameters) is a factor of 1000 − 10000 below the discrepancy in QED/nuclear theory and precision muonic lead spectroscopy from about two decades ago. We briefly comment on scenarios where the Unparticle induced energy shift, if it exists, may be experimentally measurable. One possibility in this direction is if the UV-sector, from which the Unparticle sector arises, has a large number of fermions. Comments are also made on the possibility of further studying muonic atoms, as a probe for beyond-standard-model physics, in the context of forthcoming experiments, such as those probing lepton flavor violation through coherent muon-electron conversions. For completeness we explore some of the astrophysical and cosmological consequences of a fermiophobic scalar/pseudoscalar Unparticle sector. In the fermiophobic context we also estimate a minimum value for the conformal invariance breaking scale.

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Section: Discussionmentioning

confidence: 99%

Section: Muonic Atoms and Energy Shiftsmentioning

confidence: 98%

Section: Muonic Atoms and Energy Shiftsmentioning

confidence: 99%

“…In fact it may be verified analytically from Eqs. (36), (37), (39) and (40) that for j = 1 + η with η ≪ 1 we may expand…”

Section: Muonic Atoms and Energy Shiftsmentioning

confidence: 99%

“…Comparison of ∆p splittings (KeV) in µ − − Pb 208 82[39] based on the QED results inTable I and NP calculations in Table II.…”

mentioning

confidence: 99%

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Bound states and fermiophobic unparticle oblique corrections to the photon

Thalapillil

2010

Phys. Rev. D

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Revisiting the extraction of charge radii of 40Ca and 208Pb with muonic atom spectroscopy

Xie,

Naito,

et al. 2023

Physics Letters B

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Stringent test of QED with hydrogen-like tin

Morgner,

Tu,

König

et al. 2023

Nature

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Inner-shell electrons naturally sense the electric field close to the nucleus, which can reach extreme values beyond 1015 V cm−1 for the innermost electrons1. Especially in few-electron, highly charged ions, the interaction with the electromagnetic fields can be accurately calculated within quantum electrodynamics (QED), rendering these ions good candidates to test the validity of QED in strong fields. Consequently, their Lamb shifts were intensively studied in the past several decades2,3. Another approach is the measurement of gyromagnetic factors (g factors) in highly charged ions4–7. However, so far, either experimental accuracy or small field strength in low-Z ions5,6 limited the stringency of these QED tests. Here we report on our high-precision, high-field test of QED in hydrogen-like 118Sn49+. The highly charged ions were produced with the Heidelberg electron beam ion trap (EBIT)8 and injected into the ALPHATRAP Penning-trap setup9, in which the bound-electron g factor was measured with a precision of 0.5 parts per billion (ppb). For comparison, we present state-of-the-art theory calculations, which together test the underlying QED to about 0.012%, yielding a stringent test in the strong-field regime. With this measurement, we challenge the best tests by means of the Lamb shift and, with anticipated advances in the g-factor theory, surpass them by more than an order of magnitude.

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Reanalysis of muonicZr90andPb208atoms

Cited by 8 publications

References 58 publications

Bound states and fermiophobic unparticle oblique corrections to the photon

Bound states and fermiophobic unparticle oblique corrections to the photon

Revisiting the extraction of charge radii of 40Ca and 208Pb with muonic atom spectroscopy

Stringent test of QED with hydrogen-like tin

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