Natural orbitals, overlap functions, and mean-field orbitals in an exactly solvable {ital A}-body system
- Kernfysisch Versneller Instituut, Zernikelaan 25, 9747 AA Groningen (The Netherlands)
- Laboratory for Theoretical Physics, Proeftuinstraat 86, B-9000 Gent (Belgium)
We consider a simple but nontrivial many-body system interacting through short-range forces, and confirm a property of such systems that was recently proposed on general grounds, namely, that single-particle overlap functions, spectroscopic factors, and separation energies of the bound ({ital A}{minus}1)-particle eigenstates can be derived from the one-body density matrix of the {ital A}-particle system in its ground state. The basis of natural orbitals for the system is constructed and its properties are discussed. We also investigate the high-momentum content of the bound-state overlap functions and momentum distribution. It is found that the mean field provides a good approximation for the bound-state overlap functions even in the region of large momenta, where the total momentum distribution is already enhanced by several orders of magnitude over the mean-field result. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 283960
- Journal Information:
- Physical Review, C, Vol. 53, Issue 5; Other Information: PBD: May 1996
- Country of Publication:
- United States
- Language:
- English
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