Phase-shift calculation using continuum-discretized states

Abstract

We present a method for calculating scattering phase shifts which utilizes continuum-discretized states obtained in a bound-state type calculation. The wrong asymptotic behavior of the discretized state is remedied by means of the Green's function formalism. Test examples confirm the accuracy of the method. The $\alpha +n$ scattering is described using realistic nucleon-nucleon potentials. The $3/2^{-}$ and $1/2^{-}$ phase shifts obtained in a single-channel calculation are too small in comparison with experiment. The $1/2^{+}$ phase shifts are in reasonable agreement with experiment, and gain contributions both from the tensor and central components of the nucleon-nucleon potential.

16 pages, 5 figures

References in corpus (7)

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• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
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• Theoretical description of three- and four-nucleon scattering states using bound-state-like wave functions
• Successive variational approach with the tensor-optimized antisymmetrized molecular dynamics for the ${}^5$He nucleus
• Ab Initio Theory of Light-ion Reactions
• Selected Topics in Three- and Four-Nucleon Systems
• Three-$\alpha$ configurations of the second $J^{\pi }=2^{+}$ state in ${}^{12}$C