dorsal/arxiv
View SchemaCollective multipole excitations based on correlated realistic nucleon-nucleon interactions
| Authors | N. Paar, P. Papakonstantinou, H. Hergert, R. Roth |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0601026 |
| URL | https://arxiv.org/abs/nucl-th/0601026 |
| DOI | 10.1103/PhysRevC.74.014318 |
| Journal | Phys.Rev. C74 (2006) 014318 |
Abstract
We investigate collective multipole excitations for closed shell nuclei from 16O to 208Pb using correlated realistic nucleon -nucleon interactions in the framework of the random phase approximation (RPA). The dominant short-range central and tensor correlations a re treated explicitly within the Unitary Correlation Operator Method (UCOM), which provides a phase-shift equivalent correlated interaction V_UCOM adapted to simple uncorrelated Hilbert spaces. The same unitary transformation that defines the correlated interaction is used to derive correlated transition operators. Using V_UCOM we solve the Hartree-Fock problem and employ the single-particle state s as starting point for the RPA. By construction, the UCOM-RPA is fully self-consistent, i.e. the same correlated nucleon-nucleon interact ion is used in calculations of the HF ground state and in the residual RPA interaction. Consequently, the spurious state associated with t he center-of-mass motion is properly removed and the sum-rules are exhausted within +-3%. The UCOM-RPA scheme results in a collective character of giant monopole, dipole, and quadrupole resonances in closed-shell nuclei across the nuclear chart. For the isoscalar giant monopole resonance, the resonance energies are in agreement with experiment hinting at a reasonable compressibility. However, in the 1- and 2+ channels the resonance energies are overestimated due to missing long-range correlations and three-body contributions.
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"abstract": "We investigate collective multipole excitations for closed shell nuclei from\n16O to 208Pb using correlated realistic nucleon -nucleon interactions in the\nframework of the random phase approximation (RPA). The dominant short-range\ncentral and tensor correlations a re treated explicitly within the Unitary\nCorrelation Operator Method (UCOM), which provides a phase-shift equivalent\ncorrelated interaction V_UCOM adapted to simple uncorrelated Hilbert spaces.\nThe same unitary transformation that defines the correlated interaction is used\nto derive correlated transition operators. Using V_UCOM we solve the\nHartree-Fock problem and employ the single-particle state s as starting point\nfor the RPA. By construction, the UCOM-RPA is fully self-consistent, i.e. the\nsame correlated nucleon-nucleon interact ion is used in calculations of the HF\nground state and in the residual RPA interaction. Consequently, the spurious\nstate associated with t he center-of-mass motion is properly removed and the\nsum-rules are exhausted within +-3%. The UCOM-RPA scheme results in a\ncollective character of giant monopole, dipole, and quadrupole resonances in\nclosed-shell nuclei across the nuclear chart. For the isoscalar giant monopole\nresonance, the resonance energies are in agreement with experiment hinting at a\nreasonable compressibility. However, in the 1- and 2+ channels the resonance\nenergies are overestimated due to missing long-range correlations and\nthree-body contributions.",
"arxiv_id": "nucl-th/0601026",
"authors": [
"N. Paar",
"P. Papakonstantinou",
"H. Hergert",
"R. Roth"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.74.014318",
"journal_ref": "Phys.Rev. C74 (2006) 014318",
"title": "Collective multipole excitations based on correlated realistic nucleon-nucleon interactions",
"url": "https://arxiv.org/abs/nucl-th/0601026"
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