Ab Initio Study of 40Ca with an Importance Truncated No-Core Shell Model

Roth, R.; Navratil, P.

doi:10.48550/arxiv.0705.4069

Cited by 5 publications

(9 citation statements)

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“…By using effective NN interactions derived from the realistic Argonne V18 interaction, we are able to maintain a stringent link to low-energy observables of the strong interaction, i.e., NN scattering phase shifts and deuteron properties. Since the same interactions can also be used in other Hartree-Fock based approaches and more refined ab-initio many-body methods like the No Core Shell Model [11] or the Coupled Cluster Method [58], this opens important perspectives for cross-checking nuclear structure studies.…”

Section: Discussionmentioning

confidence: 99%

“…In our previous works, correlated interactions derived in the UCOM framework, referred to as V UCOM in the following, have proven their merit in a wide range of many-body methods, from ab-initio calculations of light nuclei in the No Core Shell Model [10,11,12] to Hartree-Fock (HF) and HF-based extensions like Many-Body Perturbation Theory [13,14], RPA [15,16], and Second RPA [17]. Since HF-based approaches do not account for pairing correlations, they are expected to work best for closed-shell nuclei.…”

Section: Introductionmentioning

confidence: 99%

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Pairing in the framework of the unitary correlation operator method (UCOM): Hartree-Fock-Bogoliubov calculations

Hergert

Roth

2009

Phys. Rev. C

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In this first in a series of articles, we apply effective interactions derived by the Unitary Correlation Operator Method (UCOM) to the description of open-shell nuclei, using a self-consistent HartreeFock-Bogoliubov framework to account for pairing correlations. To disentangle the particle-hole and particle-particle channels and assess the pairing properties of VUCOM, we consider hybrid calculations using the phenomenological Gogny D1S interaction to derive the particle-hole mean field. In the main part of this article, we perform calculations of the tin isotopic chain using VUCOM in both the particle-hole and particle-particle channels. We study the interplay of both channels, and discuss the impact of non-central and non-local terms in realistic interactions as well as the frequently used restriction of pairing interactions to the 1 S0 partial wave. The treatment of the center-of-mass motion and its effect on theoretical pairing gaps is assessed independently of the used interactions.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pairing in the framework of the unitary correlation operator method (UCOM): Hartree-Fock-Bogoliubov calculations

Hergert

Roth

2009

Phys. Rev. C

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“…If this results persists for larger nuclei, calculations of A = 100 or beyond will be feasible in the near future! The present limit for NCSM is much lower, around A = 16 but could be extended using importance sampling methods that pick out the most important basis states [63], if they can be implemented in a size-extensive way.…”

Section: Wave Function Methodsmentioning

confidence: 99%

Effective Field Theory and Finite-Density Systems

Furnstahl

Rupak

Schäfer

2008

Annu. Rev. Nucl. Part. Sci.

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“…For more complex systems, the number of basis states increases dramatically so that converged calculations cannot be obtained anymore. But recently, the approach has been extended to medium mass nuclei [325] based on a restricted NCSM basis. Here not all basis states are taken into account.…”

Section: Methodsmentioning

confidence: 99%

Signatures of three-nucleon interactions in few-nucleon systems

et al. 2011

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Recent experimental results in three-body systems have unambiguously shown that calculations based only on nucleon-nucleon forces fail to accurately describe many experimental observables and one needs to include effects which are beyond the realm of the two-body potentials. This conclusion owes its significance to the fact that experiments and calculations can both be performed with high accuracy. In this review, both theoretical and experimental achievements of the past decade will be underlined. Selected results will be presented. The discussion on the effects of the three-nucleon forces is, however, limited to the hadronic sector. It will be shown that despite the major successes in describing these seemingly simple systems, there are still clear discrepancies between data and the state-of-the-art calculations.

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Ab Initio Study of 40Ca with an Importance Truncated No-Core Shell Model

Cited by 5 publications

References 0 publications

Pairing in the framework of the unitary correlation operator method (UCOM): Hartree-Fock-Bogoliubov calculations

Pairing in the framework of the unitary correlation operator method (UCOM): Hartree-Fock-Bogoliubov calculations

Effective Field Theory and Finite-Density Systems

Signatures of three-nucleon interactions in few-nucleon systems

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