Shell Model States in the Continuum

Abstract

We suggest a method for calculating scattering phase shifts and energies and widths of resonances which utilizes only eigenenergies obtained in variational calculations with oscillator basis and their dependence on oscillator basis spacing $\hslash \Omega$. We make use of simple expressions for the $S$-matrix at eigenstates of a finite (truncated) Hamiltonian matrix in the oscillator basis obtained in the HORSE ($J$-matrix) formalism of quantum scattering theory. The validity of the suggested approach is verified in calculations with model Woods--Saxon potentials and applied to calculations of $n\alpha$ resonances and non-resonant scattering using the no-core shell model.

Revision due to journal referee recommendations; 26 pages, 52 figures

References in corpus (13)

• Recent developments in no-core shell-model calculations
• Ab initio no-core full configuration calculations of light nuclei
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Corrections to nuclear energies and radii in finite oscillator spaces
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• Prediction for a four-neutron resonance
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• A Predictive Theory for Elastic Scattering and Recoil of Protons from ${}^4$He
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Cited by in corpus (2)

• Nucleon-deuteron scattering with the JISP16 potential
• Tracing the evolution of nuclear forces under the similarity renormalization group