English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The one-body and two-body density matrices in coordinate space and theirFourier transforms in momentum space are studied for a nucleus (anonrelativistic, self-bound finite system). Unlike the usual procedure,suitable for infinite or externally bound systems, they are determined asexpectation values of appropriate intrinsic operators, dependent on therelative coordinates and momenta (Jacobi variables) and acting on intrinsicwavefunctions of nuclear states. Thus, translational invariance (TI) isrespected. When handling such intrinsic quantities, we use an algebraictechnique based upon the Cartesian representation, in which the coordinate andmomentum operators are linear combinations of the creation and annihilationoperators a^+ and a for oscillator quanta. Each of the relevant multiplicativeoperators can then be reduced to the form: one exponential of the set {a^+}times other exponential of the set {a}. In the course of such a normal-orderingprocedure we offer a fresh look at the appearance of "Tassie-Barker" factors,and point out other model-independent results. The intrinsic wavefunction ofthe nucleus in its ground state is constructed from anontranslationally-invariant (nTI) one via existing projection techniques. Asan illustration, the one-body and two-body momentum distributions (MDs) for the4He nucleus are calculated with the Slater determinant of theharmonic-oscillator model as the trial, nTI wavefunction. We find that the TIintroduces important effects in the MDs.Comment: 13 pages, incl. 3 figures - to appear in Eur. Phys. J.

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