Structure of Resonances in Atomic Three Body Systems

ORAL

Abstract

Atomic resonances are short-lived quantum states. They can be modeled as the complex-energy solutions of the Schr\"{o}dinger equation. A three-particle system may have several genuinely different asymptotics, which are difficult to fulfill with one wave function. Therefore, we adopted the Faddeev method, which amounts to splitting the wave function into components such that each component is responsible only for one kind of asymptotics. To incorporate the long-range Coulomb interactions we also needed to cut the interactions in the three-body configuration space a' la Merkuriev. We solved the Faddeev-Merkuriev integral equations by approximating the potential kernels in the three-body configuration space on a Coulomb-Sturmian basis. The Coulomb-Sturmian matrix elements of the three-body Coulomb Green's operator have been evaluated as a complex contour integral of the two-body Green's operators. In this study we reinvestigated the resonances of the e-Ps system. Our particular focus was the broad resonances found earlier by us. We reestablished their existence and propose a mechanism that creates those broad resonances lined up to the thresholds. We now aim to look for similar resonances in other three-body systems and different spin states of the e-Ps system. We specifically look at the resonances of H-e$^{\mathrm{+}}$ and H-e systems.

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Authors

  • Daniel Diaz

    California State University, Long Beach

  • Chi-Yu Hu

    University of California - Berkeley, National Institute for Materials Science, Caifornia State University, Long Beach, University of Michigan, Stockholm University, California State University, Long Beach, Utrecht University, Carl von Ossietzky University of Oldenburg, Germany, Hartnell Community College, Department of Physics, Stockholm University, GRAPPA, University of Amsterdam, Paul Scherrer Institute, Switzerland, California State University, Fresno, California State University Long Beach, Cal State Univ- Long Beach, University of Nevada, Reno, University of Rogensberg, Germany, Tribhuvan University, Nepal, University of Victoria and Perimeter Institute for Theoretical Physics, Institute of Physics, Jagiellonian University, Helmholtz Institute Mainz, Johannes Gutenberg University, Physics Department of the University of Nevada, Reno, Universita del Sannio, Cal Tech, California State University, Los Angeles, Univ of California - San Diego, UC Berkeley, Lawrence Livermore National Laboratory, Department of Physics & Astronomy, University of California, Irvine 92617, Department of Chemistry and of Physics & Astronomy, University of California, Irvine 92617, SLAC National Laboratory, Humboldt State University, Physics Department, University of Nevada, Reno, Univ of California - Merced

  • Zoltan Papp

    California State University, Long Beach