skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The One-Body and Two-Body Density Matrices of Finite Nuclei and Center-of-Mass Correlations

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.2200903· OSTI ID:20798634
 [1];  [2];  [3]
  1. NCS 'Kharkov Institute of Physics and Technology', Academicheskaya Str. 1, 61108 Kharkov (Ukraine)
  2. Institute of Nuclear Physics, T.U.Darmstadt, Schlossgartenstr. 9, D-64289 Darmstadt (Germany)
  3. University of Athens, Physics Department, Nuclear and Particle Physics Division, Panepistimiopoli, Ilissia, GR-15771 Athens (Greece)

A method is presented for the calculation of the one-body (1DM) and two-body (2DM) density matrices and their Fourier transforms in momentum space, that is consistent with the requirement for translational invariance (TI), in the case of a nucleus (a finite self-bound system). We restore TI by using the so-called fixed center-of-mass (CM) approximation for constructing an intrinsic nuclear ground state wavefunction (WF) by starting from a non-translationally invariant (nTI) WF and applying a projection prescription. We discuss results for the one-body (OBMD) and two-body (TBMD) momentum distributions of the 4He nucleus calculated with the Slater determinant of the harmonic oscillator (HO) orbitals, as the initial nTI WF. Effects of such an inclusion of CM correlations are found to be quite important in the momentum distributions.

OSTI ID:
20798634
Journal Information:
AIP Conference Proceedings, Vol. 831, Issue 1; Conference: International conference on frontiers in nuclear structure, astrophysics, and reactions - FINUSTAR, Isle of Kos (Greece), 12-17 Sep 2005; Other Information: DOI: 10.1063/1.2200903; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
Country of Publication:
United States
Language:
English