Including the strong nuclear force in antihydrogen-scattering calculations
2005 (English)In: Canadian journal of physics (Print), ISSN 0008-4204, E-ISSN 1208-6045, Vol. 83, no 4, 435-445 p.Article in journal (Refereed) Published
We investigate two methods to include the strong nuclear force in hydrogen-antihydrogen scattering calculations. First, we construct a model optical potential with parameters determined by the measured shift and width of the protonium ground state. Although this potential is a very crude model for the strong nuclear force, its parameters may be adjusted to reproduce both bound states and low-energy annihilation cross sections to within the experimental accuracy. It is then shown that this potential may be reduced to a short-distance boundary condition in terms of the proton-antiproton strong-interaction scattering length. Elastic and annihilation cross sections for ground-state hydrogen-antihydrogen scattering are calculated for s- and p-waves, and collision energies up to 1 atomic unit. The two methods are found to agree to within about 1%. The main source of discrepancy is that the scattering-length approach does not account for vacuum polarization, relativistic, and finite-size corrections. We verify that the range of the strong interaction potential does not affect the hydrogen-antihydrogen s-wave scattering properties, and that the strong interaction has negligible influence on p-wave scattering.
Place, publisher, year, edition, pages
2005. Vol. 83, no 4, 435-445 p.
IdentifiersURN: urn:nbn:se:uu:diva-74196DOI: 10.1139/p05-017OAI: oai:DiVA.org:uu-74196DiVA: diva2:102106