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8 papers
Generalized Richardson-Gaudin Nuclear Models
J. Dukelsky, V. G. Gueorguiev, P. Van Isacker
The exact solvability of several nuclear models with non-degenerate single-particle energies is outlined and leads to a generalization of integrable Richardson-Gaudin models, like…
Extended Pairing Model for Heavy Nuclei
V. G. Gueorguiev, Feng Pan, J. P. Draayer
We study binding energies in three isotopic chains (Sn, Yb, and Pb) using the extended pairing model with Nilsson single-particle energies. The…
Mixed Symmetry Nuclear Shell Model
J. P. Draayer, V. G. Gueorguiev, Feng Pan +1
A mixed-symmetry nuclear shell-model scheme for carrying out calculations in regimes where there is a competition between two or more modes is proposed. A one-dimensional toy model…
Study of Ti in a Mixed--Symmetry Basis
V. G. Gueorguiev, J. P. Draayer, W. E. Ormand +1
The structure of Ti is studied in an oblique-basis that includes spherical and SU(3) shell-model basis states. The results show that the oblique-basis concept is applicable,…
Mixed-Symmetry Shell-Model Calculations
V. G. Gueorguiev, J. P. Draayer
The one-dimensional harmonic oscillator in a box problem is used to introduce the concept of an oblique-basis shell-model theory. The method is applied to nuclei by combining tradi…
Matter, Fields, and Reparametrization-Invariant Systems
Vesselin G. Gueorguiev
We study reparametrization-invariant systems, mainly the relativistic particle and its D-dimensional extended object generalization--d-brane. The corresponding matter Lagrangians n…