dorsal/arxiv
View SchemaThe Effect of the Short-Range Correlations on the Generalized Momentum Distribution in Finite Nuclei
| Authors | Ch. C. Moustakidis, P. Papakonstantinou, E. Mavrommatis |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0511056 |
| URL | https://arxiv.org/abs/nucl-th/0511056 |
| DOI | 10.1088/0954-3899/34/7/020 |
| Journal | J.Phys.G34:1827-1844,2007 |
Abstract
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 $Q$.
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"abstract": "The effect of dynamical short-range correlations on the generalized momentum\ndistribution $n(\\vec{p},\\vec{Q})$ in the case of $Z=N$, $\\ell$-closed shell\nnuclei is investigated by introducing Jastrow-type correlations in the\nharmonic-oscillator model. First, a low order approximation is considered and\napplied to the nucleus $^4$He. Compact analytical expressions are derived and\nnumerical results are presented and the effect of center-of-mass corrections is\nestimated. Next, an approximation is proposed for $n(\\vec{p}, \\vec{Q})$ of\nheavier nuclei, that uses the above correlated $n(\\vec{p},\\vec{Q})$ of $^4$He.\nResults are presented for the nucleus $^{16}$O. It is found that the effect of\nshort-range correlations is significant for rather large values of the momenta\n$p$ and/or $Q$ and should be included, along with center of mass corrections\nfor light nuclei, in a reliable evaluation of $n(\\vec{p},\\vec{Q})$ in the whole\ndomain of $p$ and $Q$.",
"arxiv_id": "nucl-th/0511056",
"authors": [
"Ch. C. Moustakidis",
"P. Papakonstantinou",
"E. Mavrommatis"
],
"categories": [
"nucl-th"
],
"doi": "10.1088/0954-3899/34/7/020",
"journal_ref": "J.Phys.G34:1827-1844,2007",
"title": "The Effect of the Short-Range Correlations on the Generalized Momentum Distribution in Finite Nuclei",
"url": "https://arxiv.org/abs/nucl-th/0511056"
},
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