Precise measurement of the splitting in the (μ−4He)+ muonic ion

Carboni, G.; Gorini, G.; Torelli, G.; Palffy, L.; Palmonari, F.; Zavattini, E.

doi:10.1016/0375-9474(77)90089-6

Cited by 94 publications

(10 citation statements)

References 3 publications

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“…The theoretically predicted transition energies should be useful in connection with a proposed laser resonance experiment.Present experimental tests of QED (anomalous mag netic moment of the electron I-1] and muon 1-2], the Lamp shift in hydrogen [3], x-rays from high and medium Z muonic atoms [-4] and the 2p-2s transitions in muonic helium [5]) are consistent with QED calculations of vacuum polarization to an accuracy of about 0.2 %. The limitations on the accuracy of such tests are primarily determined not by the experimental errors but rather by uncertainties in the theoretical calculations (the Lamb shift in hydrogen), in the parameters of the theory (the fine structure constant) or by contributions from the strong interaction (muon anomalous magnetic moment, charge radius of hydrogen or helium, etc.).…”

supporting

confidence: 57%

Calculation of the 3p-3d transitions in muonic helium

Borie

Rinker

1980

Z Physik A

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The energy splittings of the 3 p and 3 d states of muonic helium have been calculated. The theoretically predicted transition energies should be useful in connection with a proposed laser resonance experiment.Present experimental tests of QED (anomalous mag netic moment of the electron I-1] and muon 1-2], the Lamp shift in hydrogen [3], x-rays from high and medium Z muonic atoms [-4] and the 2p-2s transitions in muonic helium [5]) are consistent with QED calculations of vacuum polarization to an accuracy of about 0.2 %. The limitations on the accuracy of such tests are primarily determined not by the experimental errors but rather by uncertainties in the theoretical calculations (the Lamb shift in hydrogen), in the parameters of the theory (the fine structure constant) or by contributions from the strong interaction (muon anomalous magnetic moment, charge radius of hydrogen or helium, etc.). Recently a proposal 1-6] has been made to avoid these difficulties by marking a precision measurement of the 3d3/2-3p3/2 and 3d5/2-3p3/2 transition frequencies in muonic helium. By making measurements on states having high orbital angular momentum, where the contributions of the extended nuclear charge distribution and nuclear polarizability are nearly negligible, it is hoped that the vacuum polarization calculation can be tested to substantially higher accuracy.

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supporting

confidence: 57%

Calculation of the 3p-3d transitions in muonic helium

Borie

Rinker

1980

Z Physik A

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“…Let us evaluate the E f s M shifts for the 2 1 S−state in the 3 He and 4 He atoms. The nuclear sizes used in our computations were R( 3 He) = 1.880 f m [23] and R( 4 He) = 1.6773 f m [24] (see also [25] and [26]). We have also selected zero value for the parameter λ, i.e.…”

Section: Corrections To the Total Energymentioning

confidence: 99%

On highly accurate calculations of the excited n1S(L = 0)-states in helium atoms

Frolov

Wardlaw

2011

Eur. Phys. J. D

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The total energies and various bound state properties of the excited 2 1 S(L = 0)−states in two-electron helium atoms, including the ∞ He, 4 He and 3 He atoms, are determined to very high numerical accuracy. The convergence of the results obtained for some electron-nuclear and electronelectron expectation values and, in particular, for the electron-nuclear and electron-electron cusp values, is discussed. The field component of the isotope shift and lowest order QED correction are estimated for the 2 1 S(L = 0)−states in the 4 He and 3 He atoms. We also apply our highly accurate methods to numerical computations of the excited n 1 S−states (for n = 3 and 4) in two-electron atomic systems. PACS number(s): 31.15.ac, 31.15.ae and 31.30.Gs

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“…The data have also been used by Sick [235] to determine an accurate charge radius, with the goal to compare it to a precise measurement from the 2p-2s transition in muonic helium by Carboni et al [236]. For 4 He such an analysis can be done by including information from other observables on the large-radius behaviour of the proton radial wave function.…”

Section: Helium-4mentioning

confidence: 99%

Elastic electron scattering from light nuclei

Sick

2001

Progress in Particle and Nuclear Physics

107

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The charge and magnetic form factors of light nuclei, mainly for mass number A≤4, provide a sensitive test of our understanding of nuclei. A number of "exact" calculations of the wave functions starting from the nucleon-nucleon interaction are available. The treatment of two-body effects needed in the calculation of the electromagnetic form factors has made significant progress. Many electron scattering experiments have provided an extensive data base from which the various (mainly elastic) form factors can be extracted. This review discusses the data and the determination of the form factors, and compares them to the results of theory.

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Precise measurement of the splitting in the (μ−4He)+ muonic ion

Cited by 94 publications

References 3 publications

Calculation of the 3p-3d transitions in muonic helium

Calculation of the 3p-3d transitions in muonic helium

On highly accurate calculations of the excited n1S(L = 0)-states in helium atoms

Elastic electron scattering from light nuclei

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