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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

We show how the renormalization group is used to construct a low-momentum nucleon-nucleon interaction V_{low k}, which unifies all potential models used in nuclear structure calculations. V_{low k} can be directly applied to the nuclear…

Nuclear Theory · Physics 2009-11-10 Achim Schwenk

We consider two nonperturbative methods originally used to derive shell model effective interactions in nuclei. These methods have been applied to the two nucleon sector to obtain an energy independent effective interaction V_{low k}, which…

Nuclear Theory · Physics 2007-05-23 S. K. Bogner , A. Schwenk , T. T. S. Kuo , G. E. Brown

A low momentum nucleon-nucleon (NN) potential $V_{low-k}$ is derived from meson exhange potentials by integrating out the model dependent high momentum modes of $V_{NN}$. The smooth and approximately unique $V_{low-k}$ is used as input for…

Nuclear Theory · Physics 2009-11-07 Scott Bogner , T. T. S. Kuo , L. Corragio , A. Covello , N. Itaco

A low momentum nucleon-nucleon (NN) potential V-low-k is derived from meson exhange potentials by integrating out the model dependent high momentum modes of V_NN. The smooth and approximately unique V-low-k is used as input for shell model…

Nuclear Theory · Physics 2015-06-26 Scott Bogner , T. T. S. Kuo , L. Coraggio , A. Covello , N. Itaco

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 discuss the use of the low-momentum nucleon-nucleon NN interaction V-low-k in the derivation of the shell-model effective interaction and emphasize its practical value as an alternative to the Brueckner G-matrix method. We present some…

Nuclear Theory · Physics 2009-11-11 A. Covello , L. Coraggio , A. Gargano , N. Itaco

The effective low-momentum interaction Vlowk is applied to three- and four-nucleon systems. We investigate the 3H, 3He and 4He binding energies for a wide range of the momentum cutoffs. By construction, all low-energy two-body observables…

Nuclear Theory · Physics 2009-11-10 Andreas Nogga , Scott K. Bogner , Achim Schwenk

In the last few years, the low-momentum nucleon-nucleon (NN) interaction V-low-k derived from free-space NN potentials has been successfully used in shell-model calculations. V-low-k is a smooth potential which preserves the deuteron…

Nuclear Theory · Physics 2008-11-26 L. Coraggio , A. Covello , A. Gargano , N. Itaco , D. R. Entem , T. T. S. Kuo , R. Machleidt

Low-momentum nucleon-nucleon interactions are derived within the framework of a unitary-transformation theory, starting with realistic nucleon-nucleon interactions. A cutoff momentum Lambda is introduced to specify a border between the low-…

Nuclear Theory · Physics 2014-11-18 S. Fujii , E. Epelbaum , H. Kamada , R. Okamoto , K. Suzuki , W. Gloeckle

There is much current interest in treating low energy nuclear physics using the renormalization group (RG) and effective field theory (EFT). Inspired by this RG-EFT approach, we study a low-momentum nucleon-nucleon (NN) interaction,…

Nuclear Theory · Physics 2009-11-10 Jason D. Holt , T. T. S. Kuo , G. E. Brown , Scott K. Bogner

Model-space effective interactions $V_{eff}$ derived from free-space nucleon-nucleon interactions $V_{NN}$ are reviewed. We employ a double decimation approach: first we extract a low-momentum interaction $V_{low-k}$ from $V_{NN}$ using a…

Nuclear Theory · Physics 2016-03-23 T. T. S. Kuo , J. W. Holt , E. Osnes

Separable nucleon-nucleon potentials are calculated using inverse scattering techniques as presented in previously published work. The dependence of the potentials on the momentum cut-off of the scattering phase-shifts is studied. Some…

Nuclear Theory · Physics 2007-05-23 H. S. Kohler

The traditional approach to nuclear physics encodes phase shift information in a nucleon-nucleon (NN) potential, producing a nucleon-level interaction that captures the sub-GeV consequences of QCD. A further reduction to the nuclear scale…

Nuclear Theory · Physics 2019-09-04 K. S. McElvain , W. C. Haxton

A phase-space representation of nuclear interactions, which depends on the distance $\vec{r}$ and relative momentum $\vec{p}$ of the nucleons, is presented. A method is developed that permits to extract the interaction $V(\vec{r},\vec{p})$…

Nuclear Theory · Physics 2015-06-22 H. Feldmeier , T. Neff , D. Weber

Binding energies of ^{3}H, ^{4}He, and ^{16}O are calculated, using low-momentum nucleon-nucleon interactions (V_{low-k}) for a wide range of the cutoff momentum \Lambda. In addition, single-particle energies in nuclei around ^{16}O are…

Nuclear Theory · Physics 2017-08-23 S. Fujii , H. Kamada , R. Okamoto , K. Suzuki

The low-momentum interaction $V_{\text{low-k}}$ derived from realistic models of the nucleon-nucleon interaction is presented in a separable form. This separable force is supported by a contact interaction in order to achieve the saturation…

Nuclear Theory · Physics 2015-03-13 P. Grygorov , E. N. E. van Dalen , J. Margueron , H. Müther

The first detailed comparison of the low-momentum interaction V_{low k} with G matrices is presented. We use overlaps to measure quantitatively the similarity of shell-model matrix elements for different cutoffs and oscillator frequencies.…

Nuclear Theory · Physics 2009-11-11 A. Schwenk , A. P. Zuker

Various nuclear structure observables are evaluated employing low-momentum nucleon-nucleon (NN) potentials $V_{\rm low-k}$ derived from the CD-Bonn and Nijmegen NN interactions $V_{NN}$. By construction, the high momentum modes of the…

Nuclear Theory · Physics 2015-06-26 J. Kuckei , F. Montani , H. Müther , A. Sedrakian

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
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