dorsal/arxiv
View SchemaProbing Correlated Ground States with Microscopic Optical Model for Nucleon Scattering off Doubly-Closed-Shell Nuclei
| Authors | M. Dupuis, S. Karataglidis, E. Bauge, J. P. Delaroche, D. Gogny |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0504013 |
| URL | https://arxiv.org/abs/nucl-th/0504013 |
| DOI | 10.1103/PhysRevC.73.014605 |
| Journal | Phys.Rev. C73 (2006) 014605 |
Abstract
The RPA long range correlations are known to play a significant role in understanding the depletion of single particle-hole states observed in (e, e') and (e, e'p) measurements. Here the Random Phase Approximation (RPA) theory, implemented using the D1S force is considered for the specific purpose of building correlated ground states and related one-body density matrix elements. These may be implemented and tested in a fully microscopic optical model for NA scattering off doubly-closed-shell nuclei. A method is presented to correct for the correlations overcounting inherent to the RPA formalism. One-body density matrix elements in the uncorrelated (i.e. Hartree-Fock) and correlated (i.e. RPA) ground states are then challenged in proton scattering studies based on the Melbourne microscopic optical model to highlight the role played by the RPA correlations. Effects of such correlations which deplete the nuclear matter at small radial distance (r $<$ 2 fm) and enhance its surface region, are getting more and more sizeable as the incident energy increases. Illustrations are given for proton scattering observables measured up to 201 MeV for the $^{16}$O, $^{40}$Ca, $^{48}$Ca and $^{208}$Pb target nuclei. Handling the RPA correlations systematically improves the agreement between scattering predictions and data for energies higher than 150 MeV.
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"abstract": "The RPA long range correlations are known to play a significant role in\nunderstanding the depletion of single particle-hole states observed in (e, e\u0027)\nand (e, e\u0027p) measurements. Here the Random Phase Approximation (RPA) theory,\nimplemented using the D1S force is considered for the specific purpose of\nbuilding correlated ground states and related one-body density matrix elements.\nThese may be implemented and tested in a fully microscopic optical model for NA\nscattering off doubly-closed-shell nuclei. A method is presented to correct for\nthe correlations overcounting inherent to the RPA formalism. One-body density\nmatrix elements in the uncorrelated (i.e. Hartree-Fock) and correlated (i.e.\nRPA) ground states are then challenged in proton scattering studies based on\nthe Melbourne microscopic optical model to highlight the role played by the RPA\ncorrelations. Effects of such correlations which deplete the nuclear matter at\nsmall radial distance (r $\u003c$ 2 fm) and enhance its surface region, are getting\nmore and more sizeable as the incident energy increases. Illustrations are\ngiven for proton scattering observables measured up to 201 MeV for the\n$^{16}$O, $^{40}$Ca, $^{48}$Ca and $^{208}$Pb target nuclei. Handling the RPA\ncorrelations systematically improves the agreement between scattering\npredictions and data for energies higher than 150 MeV.",
"arxiv_id": "nucl-th/0504013",
"authors": [
"M. Dupuis",
"S. Karataglidis",
"E. Bauge",
"J. P. Delaroche",
"D. Gogny"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.014605",
"journal_ref": "Phys.Rev. C73 (2006) 014605",
"title": "Probing Correlated Ground States with Microscopic Optical Model for Nucleon Scattering off Doubly-Closed-Shell Nuclei",
"url": "https://arxiv.org/abs/nucl-th/0504013"
},
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