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College of Sciences

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Now showing 1 - 2 of 2
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    Including a Warm Corona within the Inner Accretion Disk of Active Galactic Nuclei
    (Georgia Institute of Technology, 2022-05) Xiang, Xin
    Warm coronae, Comptonizing regions of warm (temperature kT ∼ 1keV), and optically thick (Thomson depth ∼ 10 - 20) gas, at the surfaces of accretion disks in active galactic nuclei (AGNs), have been proposed to explain the origin of the soft X-ray excess commonly observed in the X-ray spectra of AGNs. We calculate the X-ray emission from an irradiated constant density accretion disk atmosphere that includes heating from a warm corona, as well as illumination from an external X-ray power-law radiation, and blackbody emission from the dissipation in the accretion disk. The model accounts for the radial dependence of disk ionization, including the effects of light-bending on the illuminating X-rays. The final spectra are produced by integrating the local reflection/emission spectrum from approximately 2 to 400 gravitational radii. We demonstrate how the soft excess in AGN X-ray spectra depends on the warm corona parameters, including the heating fraction and optical depth, and the strength of the X-ray illumination. The model will be publicly released in 2022 for use in fitting AGN spectra.
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    Universal bound states of two- and three-body quantum systems
    (Georgia Institute of Technology, 2020-07-27) Driscoll, Kevin Joseph
    When there is a low-energy resonance between two particles, the typical separation of physical length scales no longer holds, and quantum systems can form states that are much larger on average than the characteristic size of the underlying interaction. Within this regime, long-wavelength theories with weak scattering break down; however, broadly applicable results can be recovered by replacing the interaction potential with appropriately chosen boundary conditions. We investigate two such systems of spinless bosons: three particles with resonant two-body interactions and two particles resonantly interacting with a flat surface. In the former case, where the Efimov effect is known to occur, we give exact expressions for the two- and three-body contacts, which describe the two- and three-body correlations in the system, at the threshold where the least bound Efimov trimer disassociates. In the latter, we find a sequence of bound states between the bosons and the surface (which produces a resonant potential) that are much larger on average than the range of interaction, and we show a new method for relating the contacts, which appear in the distribution of particles with large momenta, to the short-range correlations. The methods that we improve and develop are applicable to many systems with large scattering length and resonant potentials which open a different avenue to investigate effective three-body interactions.