2012
DOI: 10.1088/1367-2630/14/3/035013
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Helium–antihydrogen scattering at low energies

Abstract: We calculate cross sections for helium-antihydrogen scattering for energies up to 0.01 atomic unit. Our calculation includes elastic scattering, direct antiproton-alpha particle annihilation and rearrangement into He +p and groundstate positronium. Elastic scattering is calculated within the Born-Oppenheimer approximation using the potential calculated by Strasburger et al (2005 J. Phys. B: At. Mol. Opt. Phys. 38 3091). Matrix elements for rearrangement are calculated using the T -matrix in the distorted wave… Show more

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Cited by 8 publications
(9 citation statements)
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“…Of course, it would be interesting to go further in the analysis by considering explicitly the effect of the short-range part of the interaction potential. This idea has been studied for the case of antihydrogen atom-helium atom interaction, and short-range repulsion predicted [38][39][40][41][42]. It would be worth performing similar calculations for the case of antihydrogen atom-liquid helium interaction studied in the present letter.…”
Section: Discussionmentioning
confidence: 93%
“…Of course, it would be interesting to go further in the analysis by considering explicitly the effect of the short-range part of the interaction potential. This idea has been studied for the case of antihydrogen atom-helium atom interaction, and short-range repulsion predicted [38][39][40][41][42]. It would be worth performing similar calculations for the case of antihydrogen atom-liquid helium interaction studied in the present letter.…”
Section: Discussionmentioning
confidence: 93%
“…However, as energy, and hence angular ) Figure 9. Low-energy cross sections for helium-antihydrogen scattering, calculated using the Born-Oppenheimer approximation [34]: solid line, total inelastic; dash-dot; antiproton capture; short dash, direct alpha particle-antiproton annihilation; dotted, elastic. momentum, increases, the rotational barrier shields the nuclei from each other.…”
Section: (B) Antihydrogen-heliummentioning
confidence: 99%
“…. Low-energy cross sections for helium-antihydrogen scattering, calculated using the Born-Oppenheimer approximation [35]: solid line, total inelastic; dash-dot; antiproton capture; short dash, direct alpha particle-antiproton annihilation; dotted, elastic.…”
Section: Antihydrogen Collisions (A) Antihydrogen-hydrogen Atommentioning
confidence: 99%
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“…In the BO model, the radial wave function has a complex-valued phase shift, and hence the annihilation probability can be evaluated. The BO potential was used for the calculation of the hadronic annihilation in the systems of H +H [9,11] and He +H [46]. In the present case, the BO model is highly satisfactory at very low energies (E coll < 10 −7 eV), but provides about twice as large as the accurate value at high energies where the BO annihilation probability becomes just equal to the 2B probability P 0 p+p because of V 1σ (R) = −1/R − E H at R R FT (see also Ref.…”
Section: The Probability P Jmentioning
confidence: 99%