Work

Shell model states in the continuum

Year: 2016

Type: article

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 $\ensuremath{\hbar}\mathrm{\ensuremath{\Omega}}$. 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 $n\ensuremath{\alpha}$ resonances and nonresonant scattering using the no-core shell model.

Source: Physical Review C

DOI: 10.1103/physrevc.94.064320

Authors: A. M. Shirokov, A. I. Mazur, I. A. Mazur, J. P. Vary

Institutions: Iowa State University, Lomonosov Moscow State University, Pacific National University, Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Language: English

Topic: Nuclear physics research studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, National Energy Research Scientific Computing Center, Russian Science Foundation