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The approach exposed in the recent paper (A. Shebeko, P. Papakonstantinou, E.Mavrommatis, Eur. Phys. J. A 27, 143 (2006)) has been applied in studyingcenter-of-mass motion effects on the nucleon density and momentum distributionsin nuclei. We are focused upon effects due to the center-of-mass andshort-range nucleon correlations embedded in translationally invariantground-state wavefunctions. The latter are constructed in the so-called fixedcenter-of-mass approximation, starting with a Slater determinant wave functionmodified by some correlator (e.g., after Jastrow or Villars). It is shown howone can simplify evaluation of the corresponding expectation values thatdetermine the distributions. The analytic expressions derived here involve theown "Tassie-Barker" factors for each distribution. As an illustration,numerical calculations have been carried out for the nucleus ^{4}He with theSlater determinant to describe the nucleon (1s)^4 configuration composed ofsingle-particle orbitals which differ from harmonic oscillator ones at smalldistances. Such orbitals simulate somewhat short-range repulsion betweennucleons. Special attention is paid to a simultaneous shrinking of thecenter--of--mass corrected density and momentum distributions compared to thepurely (1s)^4 shell nontranslationally invariant ones.

A simultaneous center-of-mass correction of nucleon density and momentum distributions in nuclei