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Related papers: Model-independent low momentum nucleon interaction…

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We report on investigations of the applicability of non-relativistic constituent quark models to the low-energy nucleon-nucleon (NN) interaction. The major innovations of a resulting NN potential are the use of the $^3$P$_0$ decay model and…

Nuclear Theory · Physics 2015-05-18 Clark Downum , Jirina Stone , Ted Barnes , Eric Swanson , Isaac Vidana

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

We show that the renormalization group decimation of modern nucleon potential models to low momenta results in a unique nucleon interaction V_{low k}. This interaction is free of short-ranged singularities and can be used directly in…

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

In most simulations of nonrelativistic nuclear systems, the wave functions found solving the many-body Schr\"odinger equations describe the quantum-mechanical amplitudes of the nucleonic degrees of freedom. In those simulations the pionic…

Nuclear Theory · Physics 2018-10-01 Lucas Madeira , Alessandro Lovato , Francesco Pederiva , Kevin E. Schmidt

We discuss how the renormalization group can be used to derive effective nuclear interactions. Starting from the model-independent low-momentum interaction V_{low k}, we successively integrate out high-lying particle and hole states from…

Nuclear Theory · Physics 2009-11-10 Achim Schwenk

Nuclei close to the neutron drip line are described employing an interaction model which is based on the low-momentum interaction $V_{lowk}$. This effective two-body interaction which is determined to reproduce the nucleon-nucleon (NN)…

Nuclear Theory · Physics 2009-10-29 E. N. E. van Dalen , P. Gögelein , H. Müther

We upgrade a SU_6 quark-model description for the nucleon-nucleon and hyperon-nucleon interactions by improving the effective meson-exchange potentials acting between quarks. For the scalar- and vector-meson exchanges, the…

Nuclear Theory · Physics 2013-05-29 Y. Fujiwara , T. Fujita , M. Kohno , C. Nakamoto , Y. Suzuki

The nucleon-nucleon ($NN$) potential is the residual interaction of the strong interaction in the low-energy region and is also the fundamental input to the study of atomic nuclei. Based on the non-perturbative properties of the quantum…

Nuclear Theory · Physics 2024-10-02 Ke Nan , Jinniu Hu , Hong Shen , Ying Zhang

Lee-Suzuki similarity transformations and Krencigowa-Kuo folded diagrams are two common methods used to derive energy independent model space effective interactions for nuclear many-body systems. We demonstrate that these methods are…

Nuclear Theory · Physics 2009-11-06 S. K. Bogner , T. T. S. Kuo

We study the equation of state for symmetric nuclear matter using a ring-diagram approach in which the particle-particle hole-hole ($pphh$) ring diagrams within a momentum model space of decimation scale $\Lambda$ are summed to all orders.…

Nuclear Theory · Physics 2009-08-03 L. -W. Siu , J. W. Holt , T. T. S. Kuo , G. E. Brown

We investigate different choices for the quadratic momentum dependence required in nucleon-nucleon potentials to fit phase shifts in high partial-waves. In the Argonne v18 potential L**2 and (L.S)**2 operators are used to represent this…

Nuclear Theory · Physics 2008-11-26 R. B. Wiringa , A. Arriaga , V. R. Pandharipande

We investigate the nonlocal structure of optical model potentials for nucleon-nucleus scattering based on microscopic approaches. To this purpose, \emph{in-medium} folding optical potentials are calculated in momentum space and their…

Nuclear Theory · Physics 2018-12-05 H. F. Arellano , G. Blanchon

We present a perturbative calculation of the neutron matter equation of state based on low-momentum two- and three-nucleon interactions. Our results are compared to the model-independent virial equation of state and to variational…

Nuclear Theory · Physics 2008-11-26 Bengt Friman , Kai Hebeler , Achim Schwenk , Laura Tolos

In this paper, we first give a brief review of the theoretical framework for microscopic shell-model calculations starting from the free nucleon-nucleon potential. In this context, we discuss the use of the low-momentum nucleon-nucleon…

Nuclear Theory · Physics 2008-11-26 A. Covello , L. Coraggio , A. Gargano , N. Itaco

Effective interactions can be obtained from a renormalization group analysis in two complementary ways. One can either explicitly integrate out higher energy modes or impose given conditions at low energies for a cut-off theory. While the…

Nuclear Theory · Physics 2015-06-16 E. Ruiz Arriola , S. Szpigel , V. S. Timoteo

Nogga, Timmermans and van Kolck recently argued that Weinberg's power counting in the few-nucleon sector is inconsistent and requires modifications. Their argument is based on the observed cutoff dependence of the nucleon-nucleon scattering…

Nuclear Theory · Physics 2013-11-18 E. Epelbaum , U. -G. Meißner

The relationship between the properties of nuclear matter and structure functions measured in lepton-nucleus deep inelastic scattering is investigated using light front dynamics. We find that relativistic mean field models such as the…

Nuclear Theory · Physics 2014-11-18 G. A. Miller , J. R. Smith

The formalism of the relativistic (or Dirac-) Brueckner approach in infinite nuclear matter is described. As nucleon-nucleon interaction the one-boson exchange potentials Bonn A,B,C and for comparison the Walecka model are used. The…

Nuclear Theory · Physics 2008-11-26 L. Sehn , C. Fuchs , Amand Faessler

The notion of interacting elementary particles for low and medium energy nuclear physics is associated with definitions of potential operators. In principle, this potential carries the rich substructure consisting of quarks and gluons and…

Nuclear Theory · Physics 2009-10-30 L. Jaede , M. Sander , H. V. von Geramb

The formalism of two coupled Dirac equations within constraint instant form dynamics is used to study the nucleon-nucleon interaction. The salient features and the final Schroedinger type equation is given. Explicitly energy dependent…

Nuclear Theory · Physics 2007-05-23 H. V. von Geramb , B. Davaadorj , St. Wirsching