Theoretical study of true-muonium μ + μ − formation in muon collision processes μ − + μ +e− and μ + + pμ −

Sakimoto, Kazuhiro

doi:10.1140/epjd/e2015-60427-6

Cited by 2 publications

(2 citation statements)

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“…Since the discussion of the µ + µ − bound system (true muonium) by Hughes and Maglic [1] in 1971 and a calculation of the ground state hyperfine splitting due to electron vacuum polarization shortly thereafter [2], the topic remained relatively dormant until the late 1990's [3]. Recently, with the increasing prospect of experimental searches for these bound states, there has been a renewed theoretical interest in the µ + µ − atom [4][5][6][7][8] and numerous discussions about the best method to discover true muonium [9][10][11][12][13]. The calculations that follow amount to another take on the spectrum of the µ + µ − bound system.…”

Section: Introductionmentioning

confidence: 99%

Vacuum polarization corrections to $μ^+μ^-$ spectrum

Repko

2018

Preprint

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The energy levels of the n = 1 and n = 2 bound states of the µ + µ − atom (true muonium) are calculated starting from a previously derived potential that correctly describes positronium to order α 5 . All electron vacuum polarization corrections on the true muonium levels are computed to the same α 5 order and a few of order α 6 are examined to get a sense of size of these contributions. Additional order α 6 contributions from the two photon and three photon annihilation processes are included in the evaluation of the ground state (1 3 S1 − 1 1 S0) hyperfine splitting.

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Section: Introductionmentioning

confidence: 99%

Vacuum polarization corrections to $μ^+μ^-$ spectrum

Repko

2018

Preprint

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“…Production of Dm at rest is under consideration at the e + e − collider at the Budker Institute of Nuclear Physics in Novosibirsk [5]. On the theory side, Dm production [6][7][8][9], spectrum [10][11][12][13][14], and decays [8,12,13] have been studied. The name "dimuonium" was first introduced in [15].…”

Section: Introductionmentioning

confidence: 99%