Bound<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mi>−</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>system

Jentschura, Ulrich D.; Soff, G.; Иванов, В. П.; Karshenboim, Savely G.

doi:10.1103/physreva.56.4483

Cited by 57 publications

(87 citation statements)

References 24 publications

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“…Furthermore, Ref. [25] finds the energy shifts arising from the |γγ states to be several times smaller than those from either VP-e-A or vertex corrections. The calculations of Ref.…”

Section: Effect Of the |Eē Sectormentioning

confidence: 99%

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True muonium $({{\mu }^{+}}{{\mu }^{-}})$ on the light front

Lamm

2014

J. Phys. G: Nucl. Part. Phys.

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Applying Discretized Light Cone Quantization, we perform the first calculation of the spectrum of true muonium, the µ + µ − atom, as modified by the inclusion of an |eē Fock component. The shift in the mass eigenvalue is found to be largest for triplet states. If me is taken to be a substantial fraction of mµ, the integrated probability of the electronic component of the 1 3 S1 state is found to be as large as O(10 −2 ). Initial studies of the Lamb shift for the atom are performed. Directions for making the simulations fully realistic are discussed.

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“…Furthermore, Ref. [25] finds the energy shifts arising from the |γγ states to be several times smaller than those from either VP-e-A or vertex corrections. The calculations of Ref.…”

Section: Effect Of the |Eē Sectormentioning

confidence: 99%

“…The calculations of Ref. [25] rely upon the asymptotic behavior of the vacuum polarization, which for true muonium is the limit of m e /m µ 1. In our case of m e /m µ = O(1), one might expect significant corrections to the asymptotic behavior.…”

Section: Effect Of the |Eē Sectormentioning

confidence: 99%

True muonium $({{\mu }^{+}}{{\mu }^{-}})$ on the light front

Lamm

2014

J. Phys. G: Nucl. Part. Phys.

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“…in Ref. [27], in the same approach as used in the present paper (see also [13,28] for the related discussion). At the order of accuracy we are working, these contributions do not depend on the total angular momentum j.…”

Section: Formalismmentioning

confidence: 99%

Spectrum and decays of kaonic hydrogen

2004

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Abstract. By using the non-relativistic effective Lagrangian approach to bound states, a complete expression for the isospin-breaking corrections to the energy levels and the decay widths of kaonic hydrogen is obtained up-to-and-including O(α, m d − mu) in QCD. It is demonstrated that, although the leading-order corrections at O(α 1/2 , (m d − mu) 1/2 ) emerging due to the unitarity cusp, are huge, they can be expressed solely in terms of the KN S-wave scattering lengths. Consequently, at leading order, it is possible to derive parameter-free modified Deser-type relations, which can be used to extract the scattering lengths from the hadronic atom data.

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“…The numerical methods employed in [16] for the treatment of the nonrelativistic Green's function are also used for the calculations presented in this Letter. The results have been checked by independent evaluations using the computer algebra system Mathematica [17], and will be described further in [18]. In the discussion of the hadronic vacuum polarization, we follow an approach outlined in [19].…”

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confidence: 99%

“…The result can then be obtained by considering correction to the photon propagator due to electronic vacuum polarization, and by analyzing the decay of paradimuonium into two photons, one with vanishing mass, the other having a mass that corresponds to the sum of the four-momenta of the emerging electron-positron pair. More details of this calculation will be presented elsewhere [18].…”

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Next-to-leading and higher order corrections to the decay rate of dimuonium

Karshenboim¹,

Jentschura²,

Иванов³

et al. 1998

Physics Letters B

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Results are obtained for the decay rate of ortho and para states and for the hyperfine structure of the dimuonic system µ + µ − (dimuonium). We calculate next-to-leading order radiative corrections. The decay rate is strongly influenced by the electronic vacuum polarization in the far time-like asymptotic region and thus allows for a test of QED in a previously unexplored kinematic regime.PACS numbers 12.20. Ds, 13.10.+q, 36.10.Dr, 31.30Jv The production of exotic atoms and their properties have been discussed in a number of recent publications (see e.g. [3][4][5][6]). Pionium, the bound system of a positive and a negative pion, has been observed in a beam target experiment with proton projectiles at the Serpukhov accelerator [6]. Atomic bound states were also observed in decay modes of certain particles, e.g. positronium can be formed in the π 0 → positronium + γ decay of the neutral pion [7], and the π µ atom can be produced in the reactionThe bound system consisting of two muons (dimuonium) can be produced in heavy nuclei inelastic scattering at high energies and in particle decays. The decay of the neutral η 0 meson into dimuonium has been investigated theoretically by L. Nemenov [9] (η 0 → dimuonium + γ). The formation of dimuonium in pion-proton collisions (π − + p → dimuonium + n) and by photons on nuclei (γ + Z → dimuonium + Z) has been discussed by S. Bilenkii et al. [10]. For the direct production of dimuonium in muon-antimuon collisions, experimental difficulties associated with slow muon beams would have to be overcome. Another possible pathway for the production of the system, which we do not discuss in any further detail here, is the e + e − -annihilation (near or above the µ threshold). Dimuonium, once produced, undergoes atomic decay (into energetically lower atomic states) and annihilation decay (into electrons and photons). Because the annihilation products are hard photons and relativistic electron-positron pairs, the decays could be investigated experimentally by established methods of particle physics.The lifetimes of low-lying S states in the dimuonic system lie in the 10 −12 s range. The decay products are hard photon pairs and relativistic electron-positron pairs, which can be easily detected. Because decay rate measurements can usually be performed with only a small number of events available, it is natural to begin the study of exotic systems with a detailed analysis of the decay channels and rates.In this Letter we obtain results for the decay rates of the n 3 S 1 ortho and the n 1 S 0 para states of the dimuonic system for n = 1 and n = 2. We evaluate radiative corrections in next-to-leading order. We analyze the hyperfine structure of the system and obtain results for n = 1 and n = 2 states.The name "dimuonium" was proposed by J. Malenfant for the bound system of two muons in his pioneering investigations on the system [1,2]. In analogy to positronium we speak of ortho-and paradimuonium. We observe that a precise measurement of the orthodimuonium decay rate would allow for sensiti...

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Boundμ+μ−system

Cited by 57 publications

References 24 publications

True muonium $({{\mu }^{+}}{{\mu }^{-}})$ on the light front

True muonium $({{\mu }^{+}}{{\mu }^{-}})$ on the light front

Spectrum and decays of kaonic hydrogen

Next-to-leading and higher order corrections to the decay rate of dimuonium

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