μ−-mesic atomic processes in gaseous hydrogen

Džhelepov, V.P.; Герштейн, С.С.; Kushnirenko, E.A.; Moskalev, V.I.; Yermolov, P.F.

doi:10.1016/0029-5582(62)90230-4

Cited by 6 publications

(5 citation statements)

References 10 publications

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“…For the D-H µ system the present low-energy muon transfer rate of 133×10 8 s −1 is in agreement with both experiments [13,14]. The present rate is slightly smaller than the theoretical studies of Refs.…”

Section: Numerical Resultssupporting

confidence: 91%

“…with σ tr being the transfer cross section, v the relative velocity of the incident particles and N 0 = 4.25 × 10 22 cm −3 the liquid hydrogen density, are listed in Table I together with recent theoretical calculations. One can see differences between different experimental data [13][14][15][16][17][18][19] and theoretical results [20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Coordinate-space Faddeev-Hahn-type approach to three-body charge-transfer reactions involving exotic particles

Sultanov

Adhikari

2000

Phys. Rev. A

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Low-energy muon-transfer cross sections and rates in collisions of muonic atoms with hydrogen isotopes are calculated using a six-state close-coupling approximation to coordinate-space Faddeev-Hahn-type equations. In the muonic case satisfactory results are obtained for all hydrogen isotopes and the experimentaly observed strong isotopic dependence of transfer rates is also reproduced. A comparison with results of other theoretical and available experimental works is presented. The present model also leads to good transfer cross sections in the well-understood problem of antihydrogen formation in antiproton-positronium collision.

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Section: Numerical Resultssupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Coordinate-space Faddeev-Hahn-type approach to three-body charge-transfer reactions involving exotic particles

Sultanov

Adhikari

2000

Phys. Rev. A

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“…These values are in fair agreement with those measured at comparable experimental conditions i.e. with liquid hydrogen during the sixties [2][3][4]. The rate Apa however differs from the value which is generally accepted for room temperature [5], (1.68 4-0.26).…”

Section: ?supporting

confidence: 86%

Hot Muonic Deuterium and Tritium from Cold Targets

Marshall

Beveridge

Bailey

et al. 1993

Muonic Atoms and Molecules

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“…We compare our results with some of this data. Table I shows cross sections, σ tr , and corresponding thermal rates, λ tr , for all three muon transfer reactions at low collision energies together with some theoretical calculations from older papers [36][37][38]43] and with some experimental data from works [52][53][54][55][56][57][58]. Our FH-type equation results shown in Table I have been computed within the 2×(1s+2s+2p) approximation in the expansion ( 23) for both Faddeev-type components.Therefore, it was actually used with up to six expansion functions.…”

Section: Results and Conclusionmentioning

confidence: 99%

Antihydrogen $(\overline{\rm {H}})$ and muonic antihydrogen $(\overline{\rm {H}}_{\mu })$ formation in low energy three-charge-particle collisions

Sultanov¹,

Guster²

2013

J. Phys. B: At. Mol. Opt. Phys.

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A few-body formalism is applied for computation of two different three-charge-particle systems.The first system is a collision of a slow antiproton, p, with a positronium atom: Ps= (e + e − ) − a bound state of an electron and a positron. The second problem is a collision of p with a muonic muonium atom, i.e. true muonium − a bound state of two muons one positive and one negative:The total cross section of the following two reactions: p + (e + e − ) → H + e − and p+(µ + µ − ) → H µ +µ − , where H = (pe + ) is antihydrogen and H µ = (pµ + ) is a muonic antihydrogen atom, i.e. a bound state of p and µ + , are computed in the framework of a set of coupled twocomponent Faddeev-Hahn-type (FH-type) equations. Unlike the original Faddeev approach the FH-type equations are formulated in terms of only two but relevant components: Ψ 1 and Ψ 2 , of the system's three-body wave function Ψ, where Ψ = Ψ 1 + Ψ 2 . In order to solve the FH-type equations Ψ 1 is expanded in terms of the input channel target eigenfunctions, i.e. in this work in terms of, for example, the (µ + µ − ) atom eigenfunctions. At the same time Ψ 2 is expanded in terms of the output channel two-body wave functions, that is in terms of H µ atom eigenfunctions.Additionally, a convenient total angular momentum projection is performed. This procedure leads to an infinite set of one-dimensional coupled integral-differential equations for unknown expansion functions. Since the two-body targets are treated equally and the accurate asymptotes of Ψ 1 and Ψ 2 are provided, the solution of the FH-type equations avoids the over-completeness problem.Results for better known low-energy µ − transfer reactions from one hydrogen isotope to another hydrogen isotope in the cycle of muon catalyzed fusion (µCF) are also computed and presented.

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μ−-mesic atomic processes in gaseous hydrogen

Cited by 6 publications

References 10 publications

Coordinate-space Faddeev-Hahn-type approach to three-body charge-transfer reactions involving exotic particles

Coordinate-space Faddeev-Hahn-type approach to three-body charge-transfer reactions involving exotic particles

Hot Muonic Deuterium and Tritium from Cold Targets

Antihydrogen $(\overline{\rm {H}})$ and muonic antihydrogen $(\overline{\rm {H}}_{\mu })$ formation in low energy three-charge-particle collisions

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