Current state of 'cold' antihydrogen research

Men’shikov, L. I.; Landua, R.

doi:10.1070/pu2003v046n03abeh001277

Cited by 12 publications

(10 citation statements)

References 91 publications

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“…1 it is claimed that the coefficient of the increase of the recombination rate is approximately equal to 2. But this conclusion is drawn from the analysis of the experiment [2] with the electron beam and fully ionized carbon, for which RT << P0 ' TH i.e., the radius ofthe spiral trajectory ofan electron is much greater than the diameter of the region of the stochastic motion, whereas in the antihydrogen experiment r P0 ' RT and this difference results in great difference in the conditions of recombination.…”

Section: Resultsmentioning

confidence: 98%

Classical analysis of antihydrogen recombination in a strong magnetic field

et al. 2005

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The influence ofthe strong magnetic field on the spontaneous recombination ofthe antihydrogen in cold positronantiproton plasma is studied. The consideration is based on the analysis of the classical trajectories. The calculation ofthe relative cross section ofthe positron capture is carried out using the Monte-Carlo method and then the result is compared with the one in the situation when the magnetic field is absent. It is expected that since the trajectory of the positron in the magnetic and Coulomb fields is rather complicated, and the free positron passes the nucleus many times, the probability of the radiative capture will be greater than in the zero magnetic field, when the positron having the positive energy passes the nucleus only once. However, our calculations showed that the magnetic field does not affect significantly the radiative recombination rate within the approximations used. The comparison with the experimental study of the recombination of matched beams of electrons and filly ionized carbon nuclei in the magnetic field revealed fourfold underestimation of the relative recombination cross section, which is probably a manifestation ofessentially quantum effects.

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Section: Resultsmentioning

confidence: 98%

Classical analysis of antihydrogen recombination in a strong magnetic field

et al. 2005

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“…The relation between the photoionization cross section and the induced radiative recombination rate [5] makes it possible to apply the results of this section to an urgent problem of the production of cold antihydrogen atoms in magnetic traps [3]. The idea is to use the resonances due to the quasi-stationary states arising in the magnetic field in order to enhance the laser-induced radiative recombination into a given bound state by choosing the proper laser frequency.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…, and the matrix elements Q jj (r), H jj (r): Q (1) jj = (n r − n l ) n + 1 n + |m| + 1δ |n l −n r |,1 , Q (3) jj…”

Section: Asymptotic Form Of Basis Functions and Matrix Elements At Lamentioning

confidence: 99%

“…The new solution ψ ≡ µ −1/2 χ new ii (r) in such a diagonal representation satisfies the following equation ij V (1) ij + −2 ij V (2) ij + −3 ij V (3) ij .…”

Section: Appendix B the Effective Approximation For The Kantorovich mentioning

confidence: 99%

“…In recent decades the dynamics of transient processes in magnetic traps, such as excitation, de-excitation, ionization, recombination of ions and atoms, became a subject of intense experimental and theoretical studies [1][2][3][4]. Recently a new mechanism of formation of metastable positive-energy atoms via quasi-stationary states [5] due to the magnetic field was revealed.…”

Section: Introductionmentioning

confidence: 99%

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Calculation of a hydrogen atom photoionization in a strong magnetic field by using the angular oblate spheroidal functions

Чулуунбаатар

Гусев

Derbov

et al. 2007

J. Phys. A: Math. Theor.

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A new efficient method for calculating the photoionization of a hydrogen atom in a strong magnetic field is developed based on the Kantorovich approach to the parametric boundary problems in spherical coordinates using the orthogonal basis set of angular oblate spheroidal functions. The progress as compared with our previous paper (Dimova M G, Kaschiev M S and Vinitsky S I 2005 J. Phys. B: At. Mol. Opt. Phys. 38 2337-52) consists of the development of the Kantorovich method for calculating the wavefunctions of a continuous spectrum, including the quasi-stationary states imbedded in the continuum. Resonance transmission and total reflection effects for scattering processes of electrons on protons in a homogenous magnetic field are manifested. The photoionization cross sections found for the ground and excited states are in good agreement with the calculations by other authors and demonstrate correct threshold behavior. The estimates using the calculated photoionization cross section show that due to the quasi-stationary states the laser-stimulated recombination may be enhanced by choosing the optimal laser frequency.

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Bremsstrahlung of Waves Polarized Linearly Across a Strong Magnetic Field in Low-Energy Electron–Nucleus Collisions

Koryagin

2014

Radiophys Quantum El

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Current state of 'cold' antihydrogen research

Cited by 12 publications

References 91 publications

Classical analysis of antihydrogen recombination in a strong magnetic field

Classical analysis of antihydrogen recombination in a strong magnetic field

Calculation of a hydrogen atom photoionization in a strong magnetic field by using the angular oblate spheroidal functions

Bremsstrahlung of Waves Polarized Linearly Across a Strong Magnetic Field in Low-Energy Electron–Nucleus Collisions

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