2002/10/01 by V. G. Gueorguiev, J. P. Draayer, Gueorguiev, V. G. +1
Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/0210003
5 pages, no figures, talk presented at the Twenty First International Workshop on Nuclear Theory, Rila Mountains, Bulgaria, June 10-15, 2002
arxiv created 2002/10/01 · openalex publication_date 2002/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The one-dimensional harmonic oscillator in a box problem is used to introduce the concept of a mixed-mode shell-model scheme. The method combines low-lying ``pure mode'' states of a system to achieve a better description in situations where complete calculations cannot be done and the dynamics is driven by a combination of modes. The scheme is tested for real nuclei by combining traditional spherical states, which yield a diagonal representation of the single-particle interaction, with collective SU(3) configurations that track deformation. An application to the ds-shell 24Mg nucleus, using the realistic two-body interaction of Wildenthal, is explored to test the validity of the concept. The results shown that the mixed-mode scheme reproduces the correct binding energy of 24Mg (within 2% of the exact result) as well as low-energy configurations that have greater than 90% overlap with exact solutions in a space that spans less than 10% of the full space. In the pf-shell, the Kuo-Brown-3 interaction is used to illustrate coherent structures of the low-lying states of 48Cr. Alternative basis sets are suggested for future mixed-mode shell-model studies.