Ground-state properties of closed-shell nuclei with low-momentum realistic interactions

Coraggio, L.; Itaco, N.; Covello, A.; Gargano, A.; Kuo, T.T.S.

doi:10.1103/physrevc.68.034320

Cited by 64 publications

(102 citation statements)

References 31 publications

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“…High-momentum correlations, which are required to obtain bound nuclear systems from a realistic NN interaction (see above) are taken into account in the renormalization procedure which leads to V low−k . Supplementing these Hartree-Fock calculations with corrections up to third order in the Goldstone perturbation theory leads to results for the ground-state properties of 16 O and 40 Ca, which are in fair agreement with the empirical data [22]. (One should note that T cm was not included in these calculations.)…”

supporting

confidence: 56%

Correlations and effective interactions in nuclear matter

2006

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We performed Self-Consistent Greens Function (SCGF) calculations for symmetric nuclear matter using realistic nucleon-nucleon (NN) interactions and effective low-momentum interactions (V low−k ), which are derived from such realistic NN interactions. We compare the spectral distributions resulting from such calculations. We also introduce a density-dependent effective low-momentum interaction which accounts for the dispersive effects in the single-particle propagator in the medium.

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supporting

confidence: 56%

Correlations and effective interactions in nuclear matter

2006

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“…The UCOM-HF neutron and proton single particle spectrum for 16 O, along with the corresponding HF spectra based on the low-momentum NN potential V low−k [25], phenomenological HF with the SIII Skyrme-type interaction [46], relativistic mean field theory with the NL3 effective interaction [47], and the experimental spectra [46]. The UCOM-HF calculations are based on the correlated Argonne V18 interaction with the standard constraints on the ranges of the central and tensor correlators (Sec.…”

Section: Discussionmentioning

confidence: 99%

Collective multipole excitations based on correlated realistic nucleon-nucleon interactions

et al. 2006

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We investigate collective multipole excitations for closed shell nuclei from 16 O to 208 Pb using correlated realistic nucleon-nucleon interactions in the framework of the random phase approximation (RPA). The dominant short-range central and tensor correlations are 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 states as starting point for the RPA. By construction, the UCOM-RPA is fully self-consistent, i.e. the same correlated nucleon-nucleon interaction is used in calculations of the HF ground state and in the residual RPA interaction. Consequently, the spurious state associated with the center-ofmass 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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“…Many-body perturbation theory (MBPT) starting from the HF solution is a standard technique in many fields of quantum many-body physics, ranging from quantum chemistry [105] to nuclear physics [106,107,108,109,101,94]. It is straightforward to apply and computationally simple, but has inherent limitations.…”

Section: Low-order Many-body Perturbation Theorymentioning

confidence: 99%

Nuclear structure in the framework of the Unitary Correlation Operator Method

Roth¹,

Neff²,

Feldmeier³

2010

Progress in Particle and Nuclear Physics

161

217

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Correlations play a crucial role in the nuclear many-body problem. We give an overview of recent developments in nuclear structure theory aiming at the description of these interactioninduced correlations by unitary transformations. We focus on the Unitary Correlation Operator Method (UCOM), which offers a very intuitive, universal and robust approach for the treatment of short-range correlations. We discuss the UCOM formalism in detail and highlight the connections to other methods for the description of short-range correlations and the construction of effective interactions. In particular, we juxtapose UCOM with the Similarity Renormalization Group (SRG) approach, which implements the unitary transformation of the Hamiltonian through a very flexible flow-equation formulation. The UCOM-and SRG-transformed interactions are compared on the level of matrix elements and in many-body calculations within the no-core shell model and with Hartree-Fock plus perturbation theory for a variety of nuclei and observables. These calculations provide a detailed picture of the similarities and differences as well as the advantages and limitations of unitary transformation methods.

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Ground-state properties of closed-shell nuclei with low-momentum realistic interactions

Cited by 64 publications

References 31 publications

Correlations and effective interactions in nuclear matter

Correlations and effective interactions in nuclear matter

Collective multipole excitations based on correlated realistic nucleon-nucleon interactions

Nuclear structure in the framework of the Unitary Correlation Operator Method

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