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The one-body and two-body density matrices of finite nuclei with an appropriate treatment of the center-of-mass motion⋆

Shebeko, A. and Papakonstantinou, P. and Mavrommatis, E. (2006):
The one-body and two-body density matrices of finite nuclei with an appropriate treatment of the center-of-mass motion⋆.
In: The European Physical Journal A, 27 (2), p. 143. ISSN 1434-6001,
[Article]

Item Type: Article
Erschienen: 2006
Creators: Shebeko, A. and Papakonstantinou, P. and Mavrommatis, E.
Title: The one-body and two-body density matrices of finite nuclei with an appropriate treatment of the center-of-mass motion⋆
Language: English
Journal or Publication Title: The European Physical Journal A
Journal volume: 27
Number: 2
Divisions: DFG-Collaborative Research Centres (incl. Transregio)
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
05 Department of Physics
05 Department of Physics > Institute of Nuclear Physics
Zentrale Einrichtungen
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC)
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > D: Theoretische Kernstrukturphysik
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > D: Theoretische Kernstrukturphysik > D2: Kernstrukturuntersuchungen mit Relevanz für das experimentelle Programm
Date Deposited: 20 Jun 2011 07:12
Official URL: http://dx.doi.org/10.1140/epja/i2005-10247-3
Identification Number: doi:10.1140/epja/i2005-10247-3
Alternative Abstract:
Alternative abstract Language
The one-body and two-body density matrices in coordinate space and their Fourier transforms in momentum space are studied for a nucleus (a nonrelativistic, self-bound finite system). Unlike the usual procedure, suitable for infinite or externally bound systems, they are determined as expectation values of appropriate intrinsic operators, dependent on the relative coordinates and momenta (Jacobi variables) and acting on intrinsic wave functions of nuclear states. Thus, translational invariance (TI) is respected. When handling such intrinsic quantities, we use an algebraic technique based upon the Cartesian representation, in which the coordinate and momentum operators are linear combinations of the creation and annihilation operatorsEnglish
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