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Large-space no-core shell model calculations have been performed for A=3-6 nuclei, using a starting-energy-independent two-body effective interaction derived by application of the Lee-Suzuki similarity transformation. This transformation…

Nuclear Theory · Physics 2008-11-26 P. Navratil , B. R. Barrett

We address the issue of determining an effective two-body interaction for mean-field calculations of energies of many-body systems. We show that the effective interaction is proportional to the phase shift, and demonstrate this result in…

Other Condensed Matter · Physics 2007-05-23 A. Collin , P. Massignan , C. J. Pethick

Large-basis shell model studies of low-lying excitations in light nuclei from 4He to 7Li have been performed with a multi-valued G-matrix effective interaction, as recently suggested by Haxton et al.. Calculations were performed relative to…

Nuclear Theory · Physics 2009-10-28 D. C. Zheng , B. R. Barrett , J. P. Vary , W. C. Haxton , C. -L. Song

In the no-core shell model formalism we compute effective one- and two-body operators, using the Lee-Suzuki procedure within the two-body cluster approximation. We evaluate the validity of the latter through calculations in reduced model…

Nuclear Theory · Physics 2007-05-23 Ionel Stetcu , Bruce R. Barrett , Petr Navratil , Calvin W. Johnson

The Lee-Suzuki iteration method is used to include the folded diagrams in the calculation of the two-body effective interaction $v^{(2)}_{\rm eff}$ between two nucleons in a no-core model space. This effective interaction still depends upon…

Nuclear Theory · Physics 2008-11-26 D. C. Zheng , B. R. Barrett , J. P. Vary , H. Müther

We propose a scheme for extracting an effective three-body interaction originating from a two-nucleon interaction. This is based on the Q-box method of Kuo and collaborators, where folded diagrams are obtained by differentiating a sum of…

Nuclear Theory · Physics 2009-11-10 P. J. Ellis , T. Engeland , M. Hjorth-Jensen , M. P. Kartamyshev , E. Osnes

Working in the framework of the ab-initio no-core shell model, we derive two-body effective interactions microscopically for specific harmonic-oscillator basis spaces from the realistic Argonne V8' nucleon-nucleon potential. However, our…

Nuclear Theory · Physics 2007-05-23 M. S. Fayache , J. P. Vary , B. R. Barrett , P. Navratil , S. Aroua

We provide evidence for a high precision model-independent low momentum nucleon-nucleon interaction. Performing a momentum-space renormalization group decimation, we find that the effective interactions constructed from various high…

Nuclear Theory · Physics 2008-11-26 S. K. Bogner , T. T. S. Kuo , A. Schwenk , D. R. Entem , R. Machleidt

Equivalent interactions in a low-momentum space for the $\Lambda N$, $\Sigma N$ and $\Xi N$ interactions are calculated, using the SU$_6$ quark model potential as well as the Nijmegen OBEP model as the input bare interaction. Because the…

Nuclear Theory · Physics 2008-11-26 M. Kohno , R. Okamoto , H. Kamada , Y. Fujiwara

The microscopic effective pairing interaction in the $^1S_0$-channel is investigated for two different values of the chemical potential $\mu$ starting from the separable form of the Paris NN-potential. It is shown that, within a high…

Nuclear Theory · Physics 2009-10-31 M. Baldo , U. Lombardo , E. Saperstein , M. Zverev

We present a first exploratory study for hyperon-nucleon interactions using renormalization group techniques. The effective two-body low-momentum potential V_low-k is obtained by integrating out the high-momentum components from realistic…

Nuclear Theory · Physics 2009-11-11 B. -J. Schaefer , M. Wagner , J. Wambach , T. T. S. Kuo , G. E. Brown

We have performed shell-model calculations starting from the CD-Bonn free nucleon-nucleon NN potential and making use of a new approach for the calculation of the effective interaction. This consists in deriving from the NN potential a…

Nuclear Theory · Physics 2007-05-23 A. Covello , L. Coraggio , A. Gargano , N. Itaco , T. T. S. Kuo

We perform large-space shell-model calculations for the low-lying energy spectra of a few light nuclei, $^4\mbox{He}$, $^5\mbox{He}$, $^6\mbox{Li}$ and $^7\mbox{Li}$, in a no-core model space with a realistic effective two-body interaction…

Nuclear Theory · Physics 2008-11-26 D. C. Zheng , B. R. Barrett , L. Jaqua , J. P. Vary , R. J. McCarthy

An effective interaction is derived for use in the full pf basis. Starting from a realistic G-matrix interaction, 195 two-body matrix elements and 4 single-particle energies are determined by fitting to 699 energy data in the mass range 47…

Nuclear Theory · Physics 2008-11-26 M. Honma , T. Otsuka , B. A. Brown , T. Mizusaki

An effective two-body interaction is constructed from a new Reid-like $NN$ potential for a large no-core space consisting of six major shells and is used to generate the shell-model properties for light nuclei from $A$=2 to 6. (For…

Nuclear Theory · Physics 2008-11-26 D. C. Zheng , J. P. Vary , B. R. Barrett

The formulation of the low-momentum effective interaction in the model space Lee-Suzuki and the renormalization group methods is implemented in the three-dimensional approach. In this approach the low-momentum effective interaction V_{low…

Nuclear Theory · Physics 2008-12-18 S. Bayegan , M. Harzchi , M. R. Hadizadeh

We show that the convergence behavior of the many-body numerical diagonalization scheme for strongly interacting bosons in a trap can be significantly improved by the Lee-Suzuki method adapted from nuclear physics: One can construct an…

Other Condensed Matter · Physics 2009-02-27 J. Christensson , C. Forssén , S. Åberg , S. M. Reimann

We describe the properties of complex nuclei, such as the Sn isotopes with mass numbers A = 100 - 132, in terms of the free nucleon--nucleon interaction as obtained from meson--exchange theory. This amounts to first calculating an effective…

Nuclear Theory · Physics 2007-05-23 T. Engeland , M. Hjorth-Jensen , A. Holt , E. Osnes

The present paper is comprised of two parts. First, we give a brief survey of the theoretical framework for microscopic nuclear structure calculations starting from a free nucleon-nucleon potential. Then, we present some selected results of…

Nuclear Theory · Physics 2007-05-23 A. Covello , L. Coraggio , A. Gargano , N. Itaco

We have performed shell-model calculations for the even- and odd-mass N=82 isotones, focusing attention on low-energy states. The single-particle energies and effective two-body interaction have been both determined within the framework of…

Nuclear Theory · Physics 2009-12-17 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo
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