Phys. Rev. C 67, 054322 (2003) [11 pages]

Non-Hermitian effective Hamiltonian and continuum shell model

Download: PDF (222 kB) or Buy this Article (Use Article Pack) Export: BibTeX or EndNote (RIS)

Alexander Volya *
Physics Division, Argonne National Laboratory, Argonne, Illinois 60439

Vladimir Zelevinsky
National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824
Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824

Received 15 August 2002; published 30 May 2003

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.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevC.67.054322
DOI: 10.1103/PhysRevC.67.054322
PACS: 21.60.Cs, 24.10.Cn, 42.50.Fx

* Email address: volya@anl.gov

[ Abstract  |  Previous article  |  Next article  |  Issue 5 ]