Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2005-11-21
J.Phys.G34:1827-1844,2007
Physics
Nuclear Physics
Nuclear Theory
29 pages, 8 figures. Further results, figures and discussion for the CM corrections are added. Accepted by Journal of Physics
Scientific paper
10.1088/0954-3899/34/7/020
The effect of dynamical short-range correlations on the generalized momentum distribution $n(\vec{p},\vec{Q})$ in the case of $Z=N$, $\ell$-closed shell nuclei is investigated by introducing Jastrow-type correlations in the harmonic-oscillator model. First, a low order approximation is considered and applied to the nucleus $^4$He. Compact analytical expressions are derived and numerical results are presented and the effect of center-of-mass corrections is estimated. Next, an approximation is proposed for $n(\vec{p}, \vec{Q})$ of heavier nuclei, that uses the above correlated $n(\vec{p},\vec{Q})$ of $^4$He. Results are presented for the nucleus $^{16}$O. It is found that the effect of short-range correlations is significant for rather large values of the momenta $p$ and/or $Q$ and should be included, along with center of mass corrections for light nuclei, in a reliable evaluation of $n(\vec{p},\vec{Q})$ in the whole domain of $p$ and $Q$.
Mavrommatis E.
Moustakidis Ch C.
Papakonstantinou Pagona
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