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We construct effective 2- and 3-body Hamiltonians for the p-shell by performing 12\hbar\Omega ab initio no-core shell model (NCSM) calculations for A=6 and 7 nuclei and explicitly projecting the many-body Hamiltonians onto the 0\hbar\Omega…

Nuclear Theory · Physics 2009-01-14 A. F. Lisetskiy , B. R. Barrett , M. K. G. Kruse , P. Navratil , I. Stetcu , J. P. Vary

We perform \textit{ab initio} no-core shell-model calculations for $A=18$ and $19$ nuclei in a $4\hbar\Omega$, or $N_{\rm max}=4$, model space by using the effective JISP16 and chiral N3LO nucleon-nucleon potentials and transform the…

Nuclear Theory · Physics 2015-06-09 E. Dikmen , A. F. Lisetskiy , B. R. Barrett , P. Maris , A. M. Shirokov , J. P. Vary

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 demonstrate the existence of multiple converging sequences in the ab initio no-core shell model. By examining the underlying theory of effective operators, we expose the physical foundations for the alternative pathways to convergence.…

Nuclear Theory · Physics 2008-11-26 C. Forssén , J. P. Vary , E. Caurier , P. Navrátil

We implement an effective operator formalism for general one- and two-body operators, obtaining results consistent with the no-core shell model (NCSM) wave functions. The Argonne V8' nucleon-nucleon potential was used in order to obtain…

Nuclear Theory · Physics 2007-05-23 Ionel Stetcu , Bruce R. Barrett , Petr Navratil , James P. Vary

We present an overview of recent results and developments of the no-core shell model (NCSM), an ab initio approach to the nuclear many-body problem for light nuclei. In this approach, we start from realistic two-nucleon or two- plus…

Nuclear Theory · Physics 2009-06-19 Petr Navratil , Sofia Quaglioni , Ionel Stetcu , Bruce R. Barrett

This contribution reviews a number of applications of the ab initio no-core shell model (NCSM) within nuclear physics and beyond. We will highlight a nuclear-structure study of the A = 12 isobar using a chiral NN + 3NF interaction. In the…

Nuclear Theory · Physics 2009-05-04 C. Forssen , J. Christensson , P. Navratil , S. Quaglioni , S. Reimann , J. Vary , S. Aberg

The ab initio no-core shell model (NCSM) is extended to include a realistic three-body interaction in calculations for p-shell nuclei. The NCSM formalism is reviewed and new features needed in calculations with three-body forces are…

Nuclear Theory · Physics 2009-11-10 P. Navratil , W. E. Ormand

The state-of-the-art ab initio nuclear many-body approaches with modern nuclear forces are challenged by the recent experimental measurement of the monopole form factor of the $0^+_1\rightarrow 0^+_2$ transition in the $\alpha$ particle…

Nuclear Theory · Physics 2025-10-17 P. Yin , A. M. Shirokov , H. Li , B. Zhou , X. Zhao , S. Bacca , J. P. Vary

We apply the no-core shell model to the nuclear structure of odd-mass nuclei straddling $^{48}$Ca. Starting with the NN interaction, that fits two-body scattering and bound state data we evaluate the nuclear properties of $A = 47$ and $A =…

Nuclear Theory · Physics 2015-05-18 A. G. Negoita , J. P. Vary , S. Stoica

We present a translationally invariant formulation of the no-core shell model approach for few-nucleon systems. We discuss a general method of antisymmetrization of the harmonic-oscillator basis depending on Jacobi coordinates. The use of a…

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

There has been significant recent progress in solving the long-standing problems of how nuclear shell structure and collective motion emerge from underlying microscopic inter-nucleon interactions. We review a selection of recent significant…

The nuclear shell model has been perhaps the most important conceptual and computational paradigm for the understanding of the structure of atomic nuclei. While the shell model has been predominantly used in a phenomenological context,…

Nuclear Theory · Physics 2019-10-25 S. Ragnar Stroberg , Scott K. Bogner , Heiko Hergert , Jason D. Holt

This review aims at a critical discussion of the interplay between effective interactions derived from various many-body approaches and spectroscopic data extracted from large scale shell-model studies. To achieve this, our many-body scheme…

Nuclear Theory · Physics 2009-11-10 D. J. Dean , T. Engeland , M. Hjorth-Jensen , M. Kartamychev , E. Osnes

Background: Effective interactions, either derived from microscopic theories or based on fitting selected properties of nuclei in specific mass regions, are widely used inputs to shell-model studies of nuclei. Until recently, most…

Nuclear Theory · Physics 2015-06-17 Naofumi Tsunoda , Kazuo Takayanagi , Morten Hjorth-Jensen , Takaharu Otsuka

No-core shell model (NCSM) calculations using ab initio effective interactions are very successful in reproducing experimental nuclear spectra. The main theoretical approach is the use of effective operators, which include correlations left…

Nuclear Theory · Physics 2007-05-23 Bruce R. Barrett , Ionel Stetcu , Petr Navratil , James P. Vary

The description of nuclei starting from the constituent nucleons and the realistic interactions among them has been a long-standing goal in nuclear physics. In addition to the complex nature of the nuclear forces, with two-, three- and…

An ab-initio description of atomic nuclei that solves the nuclear many-body problem for realistic nuclear forces is expected to possess a high degree of predictive power. In this contribution we treat the main obstacle, namely the…

Nuclear Theory · Physics 2017-08-23 Hans Feldmeier , Thomas Neff , Robert Roth

We report on a novel ab initio approach for nuclear few- and many-body systems with strangeness. Recently, we developed a relevant no-core shell model technique which we successfully applied in first calculations of lightest $\Lambda$…

Nuclear Theory · Physics 2015-06-18 D. Gazda , J. Mareš , P. Navrátil , R. Roth , R. Wirth

We obtain properties of $^{12}$C in the {\it ab initio} no-core nuclear shell-model. The effective Hamiltonians are derived microscopically from the realistic CD-Bonn and the Argonne V8' nucleon-nucleon (NN) potentials as a function of the…

Nuclear Theory · Physics 2009-11-06 P. Navratil , J. P. Vary , B. R. Barrett
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