Publication:
Variational Calculations of Positronium Scattering with Hydrogen

dc.contributor.author Woods, Denton
dc.date.accessioned 2023-12-22T06:05:24Z
dc.date.available 2023-12-22T06:05:24Z
dc.date.issued 1900
dc.description Publisher: University of North Texas ; Source: https://digital.library.unt.edu/ark:/67531/metadc822803/ ; Level: Thesis
dc.description.abstract Positronium-hydrogen (Ps-H) scattering is of interest, as it is a fundamental four-body Coulomb problem. We have investigated low-energy Ps-H scattering below the Ps(n=2) excitation threshold using the Kohn variational method and variants of the method with a trial wavefunction that includes highly correlated Hylleraas-type short-range terms. We give an elegant formalism that combines all Kohn-type variational methods into a single form. Along with this, we have also developed a general formalism for Kohn-type matrix elements that allows us to evaluate arbitrary partial waves with a single codebase. Computational strategies we have developed and use in this work will also be discussed.With these methods, we have computed phase shifts for the first six partial waves for both the singlet and triplet states. The 1S and 1P phase shifts are highly accurate results and could potentially be viewed as benchmark results. Resonance positions and widths for the 1S-, 1P-, 1D-, and 1F-waves have been calculated.We present elastic integrated, elastic differential, and momentum transfer cross sections using all six partial waves and note interesting features of each. We use multiple effective range theories, including several that explicitly take into account the long-range van der Waals interaction, to investigate scattering lengths for the 1,3S and 1,3P partial waves and effective ranges for the 1,3S-wave.
dc.identifier.uri http://repository.vlu.edu.vn:443/handle/123456789/11145
dc.language.iso en_US
dc.subject Positronium hydrogen scattering
dc.subject Kohn method
dc.subject Positronium.
dc.subject Hydrogen.
dc.subject Scattering (Physics)
dc.title Variational Calculations of Positronium Scattering with Hydrogen
dc.type Resource Types::text::thesis
dspace.entity.type Publication
oairecerif.author.affiliation #PLACEHOLDER_PARENT_METADATA_VALUE#
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