Abstract
This paper investigates the possible use of the Hyperspherical Adiabatic basis in the description of scattering states of a three-body system. In particular, we analyze a 1 + 2 collision process below the three-body breakup. The convergence patterns for the observables of interest are analyzed by comparison to a unitary equivalent Hyperspherical Harmonic expansion. Furthermore, we compare and discuss two different possible choices for describing the asymptotic configurations of the system, related to the use of Jacobi or hyperspherical coordinates. In order to illustrate the difficulties and advantages of the approach two simple numerical applications are shown in the case of neutron-deuteron scattering at low energies using s-wave interactions. We found that the optimization driven by the Hyperspherical Adiabatic basis is not as efficient for scattering states as in bound state applications.
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Barletta, P., Kievsky, A. Three-Nucleon Continuum by Means of the Hyperspherical Adiabatic Method. Few-Body Syst 45, 25–41 (2009). https://doi.org/10.1007/s00601-008-0002-7
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DOI: https://doi.org/10.1007/s00601-008-0002-7