Non-Hermitian effective Hamiltonian and continuum shell model

2002/11/13 by Alexander Volya, Vladimir Zelevinsky · 2 citations
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #nucl-th

paper · pdf · doi:10.1103/physrevc.67.054322

published as Phys.Rev. C67 (2003) 054322 · 16 pages, 12 figures

arxiv created 2002/11/13 · openalex publication_date 2003/05/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The intrinsic dynamics of a system with open decay channels is described by a non-Hermitian effective Hamiltonian which at the same time allows one to find the external dynamics---reaction cross sections. We discuss ways of incorporating this approach into the shell model context. The approach is capable of describing a multitude of phenomena in a unified way combining physics of structure and reactions. Self-consistency of calculations for a chain of nuclides and threshold energy dependence of the continuum coupling are crucial for the description of loosely bound states. Schematic and realistic examples of open many-body systems where internal configuration mixing is generated by pairing are presented.

Citations

• Statistical aspects of nuclear coupling to continuum
• Interfering doorway states and giant resonances. I. Resonance spectrum and multipole strengths
• The nuclear shell model towards the drip lines
• Effects of Configuration Interaction on Intensities and Phase Shifts

Cited by

• Probing Eigenfunction Nonorthogonality by Parametric Shifts of Resonance Widths
• Two-electron bound states in a continuum in quantum dots