Measurement of the Lamb shift in the<i>n</i>= 2 state of muonium

Woodle, K.; Badertscher, A.; Hughes, V. W.; Lu, D. C.; Ritter, M.; Gladisch, M.; Orth, H.; Putlitz, G. zu; Eckhause, M.; Kane, J. R.; Mariam, F. G.

doi:10.1103/physreva.41.93

Cited by 37 publications

(29 citation statements)

References 28 publications

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“…In this case, the error is in fact dominated by the QED computation and estimated by the O(m µ α 8 ln 3 α) contribution. The best experimental neasurement at the moment [37] is…”

Section: B Muoniummentioning

confidence: 99%

“…3, the blue curve represents the bound coming from the product of the measurement of the electron gyromagnetic factor ae [14,15] and the muonic aµ [16] while the red curve is the current bound extracted by Ps 1S−2S transition [13,23]. The green curve corresponds to the current sensitivity of the Lamb Shift measurement [37]. The dashed red curve is the 1S − 2S projected sensitivity assuming that the experimental precision will match the theoretical one [21].…”

Section: B Muoniummentioning

confidence: 99%

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Current and future perspectives of positronium and muonium spectroscopy as dark sectors probe

2019

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Positronium and Muonium are purely leptonic atoms and hence free of an internal sub-structure. This qualifies them as potentially well suited systems to probe the existence of physics beyond the Standard Model. We hence carry out a comprehensive study of the sensitivity of current Positronium and Muonium precision spectroscopy to several new physics scenarios. By taking properly into account existing experimental and astrophysical probes, we define clear experimental targets to probe new physics via precise spectroscopy. For Positronium we find that, in order for the spectroscopy bounds to reach a sensitivity comparable to the electron gyromagnetic factor, an improvement of roughly five orders of magnitude from state-of-the-art precision is required, which would be a challenge based on current technology. More promising is instead the potential reach of Muonium spectroscopy: in the next few years experiments like Mu-MASS at PSI will probe new regions of the parameter space testing the existence of medium/short range (MeV and above) spin-dependent and spin-independent dark forces between electrons and muons.

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“…In this case, the error is in fact dominated by the QED computation and estimated by the O(m µ α 8 ln 3 α) contribution. The best experimental neasurement at the moment [37] is…”

Section: B Muoniummentioning

confidence: 99%

Section: B Muoniummentioning

confidence: 99%

Current and future perspectives of positronium and muonium spectroscopy as dark sectors probe

2019

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“…Once this is done (1.3) makes sense, but also seems to require that physical quantities must depend in detail on the value of the regularization scale , which seems odd given we at this point only needed to choose to be small and not precisely equal to the physical 4 'Unfortunately' because if shared by spin-half particles such effects have the right size and sign to have accounted for the experimental 'proton-radius' discrepancy [5,[9][10][11][12][13][14][15][16] without the need for exotic new interactions [17][18][19][20].…”

Section: Jhep07(2017)072mentioning

confidence: 99%

“…The Deser formula is also of practical value since trading (or 0 ) for the contact-interaction scattering length, a s , again leads to (3.3). 16 It is useful to quote these results in a more transparent way. For these purposes recall that a potential of the form V = h eff δ 3 (x) naively shifts atomic energy levels by an amount…”

Section: Jhep07(2017)072mentioning

confidence: 99%

Point-particle effective field theory II: relativistic effects and Coulomb/inverse-square competition

Burgess

Hayman

Rummel

et al. 2017

J. High Energ. Phys.

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We apply point-particle effective field theory (PPEFT) to compute the leading shifts due to finite-sized source effects in the Coulomb bound energy levels of a relativistic spinless charged particle. This is the analogue for spinless electrons of calculating the contribution of the charge-radius of the source to these levels, and our calculation disagrees with standard calculations in several ways. Most notably we find there are two effective interactions with the same dimension that contribute to leading order in the nuclear size, one of which captures the standard charge-radius contribution. The other effective operator is a contact interaction whose leading contribution to δE arises linearly (rather than quadratically) in the small length scale, , characterizing the finite-size effects, and is suppressed by (Zα) 5 . We argue that standard calculations miss the contributions of this second operator because they err in their choice of boundary conditions at the source for the wave-function of the orbiting particle. PPEFT predicts how this boundary condition depends on the source's charge radius, as well as on the orbiting particle's mass. Its contribution turns out to be crucial if the charge radius satisfies (Zα) 2 a B , where a B is the Bohr radius, because then relativistic effects become important for the boundary condition. We show how the problem is equivalent to solving the Schrödinger equation with competing Coulomb, inverse-square and delta-function potentials, which we solve explicitly. A similar enhancement is not predicted for the hyperfine structure, due to its spin-dependence. We show how the charge-radius effectively runs due to classical renormalization effects, and why the resulting RG flow is central to predicting the size of the energy shifts (and is responsible for its being linear in the source size). We discuss how this flow is relevant to systems having much larger-than-geometric cross sections, such as those with large scattering lengths and perhaps also catalysis of reactions through scattering with monopoles. Experimental observation of these effects would require more precise measurement of energy levels for mesonic atoms than are now possible.

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“…Meanwhile the 1 s-2s transition has been measured neither for muonic 3He nor for 4He. (We note that the 2s-2p Lamb shift in muonium has also been measured with an uncertainty of 20 MHz [18]. ) We believe that a measurement of the electronic l.y-2.v transition in muonic helium with the muon in the ground state is possible and therefore discuss below its frequency as well as the one for the 2s-2p Lamb shift.…”

mentioning

confidence: 97%

Lamb shift of electronic states in neutral muonic helium, an electron-muon-nucleus system

2015

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Neutral muonic helium is an exotic atomic system consisting of an electron, a muon, and a nucleus. Being a three-body system, it possesses a clear hierarchy. This allows us to consider it as a hydrogenlike atom with a compound nucleus, which is, in turn, another hydrogenlike system. There are a number of corrections to the Bohr energy levels, all of which can be treated as contributions of generic hydrogenlike theory. While the form of those contributions is the same for all hydrogenlike atoms, their relative numerical importance differs from atom to atom. Here, the leading contribution to the (electronic) Lamb shift in neutral muonic helium is found in a closed analytic form together with the most important corrections. We believe that the Lamb shift in neutral muonic hydrogen is measurable, at least through a measurement of the (electronic) i.r-2.? transition. We present a theoretical prediction for the li-2 s transitions with an uncertainty of 3 ppm (9 GHz), as well as for the 2s-2p Lamb shift with an uncertainty of 1.3 GHz.The hydrogen atom is the simplest one and the easiest to access, but its study is not free of problems. For instance, a recent determination of the proton radius by measuring the Lamb shift in muonic hydrogen [1] led to a result inconsistent with that from hydrogen spectroscopy [2] (on various determinations of the proton charge radius see, e.g., Ref.[3]). The muonic hydrogen atom is only one example of exotic "editions" of hydrogen. Due to the "proton-radius puzzle" one may wonder, in particular, whether a theory of the ordinary or muonic hydrogen atoms is adequate. To probe it one may consider various isotopes of hydrogen, including exotic ones.In particular, the muonium atom, a bound system of an electron and a positive muon, is such a system, where the quantum electrodynamics (QED) effects are about the same as in hydrogen, the nuclear recoil effects are enhanced, and the nuclear structure contributions are suppressed. (One may treat various radiative corrections to the muon line as the nuclear structure corrections.) On the contrary, the neutral muonic helium atom, a neutral three-body system, which consists of a nucleus (either an a particle or a helion, the nucleus of the 3 He atom), a muon, and an electron, is a kind of hydrogenlike atom with a compound nucleus [4][5][6], where the effective nuclearstructure effects are enhanced. The recoil contributions there are less important than in ordinary hydrogen, while the hyperline effects are enhanced. Remarkably, the effective nuclear-structure effects are under control.There are a number of exotic atoms, which are of interest because of specific relations between numerical values of their ' savely.karshenboim@mpq.mpg.de parameters. The specifics of neutral muonic helium is in certain properties of its compound nucleus. Muonic helium is a system with a well-defined hierarchial structure. Its atomic part is similar to that of an ordinary hydrogen atom, possessing an electron and a compound nucleus. Such a nucleus consists of an "internal"...

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Measurement of the Lamb shift in then= 2 state of muonium

Cited by 37 publications

References 28 publications

Current and future perspectives of positronium and muonium spectroscopy as dark sectors probe

Current and future perspectives of positronium and muonium spectroscopy as dark sectors probe

Point-particle effective field theory II: relativistic effects and Coulomb/inverse-square competition

Lamb shift of electronic states in neutral muonic helium, an electron-muon-nucleus system

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