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We construct effective two-body Hamiltonians and E2 operators for the p-shell by performing $16\hbar\Omega$ ab initio no-core shell model (NCSM) calculations for A=5 and A=6 nuclei and explicitly projecting the many-body Hamiltonians and E2…

Nuclear Theory · Physics 2009-09-02 A. F. Lisetskiy , M. K. G. Kruse , B. R. Barrett , P. Navratil , I. Stetcu , J. P. Vary

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

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

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

In the framework of the ab-initio no-core shell model (NCSM), we describe the longitudinal-longitudinal distribution function, part of the inclusive (e,e') longitudinal response. In the two-body cluster approximation, we compute the…

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

In recent years, remarkable progress has been achieved in developing novel non-perturbative techniques for constructing valence space shell model Hamiltonians from realistic internucleon interactions. One of these methods is based on the…

Nuclear Theory · Physics 2022-06-01 Zhen Li , N. A. Smirnova , A. M. Shirokov , I. J. Shin , B. R. Barrett , P. Maris , J. P. Vary

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

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 present a new approach to the construction of effective interactions suitable for many-body calculations by means of the no-core shell model (NCSM). We consider an effective field theory (EFT) with only nucleon fields directly in the…

Nuclear Theory · Physics 2008-11-26 I. Stetcu , B. R. Barrett , U. van Kolck

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

We use a large-scale 6 hbar Omega calculation for Li6 with microscopically derived two-body interaction to construct the 0 hbar Omega 0p-shell effective hamiltonian, electric quadrupole, and magnetic dipole operators. While the E2 and M1 6…

Nuclear Theory · Physics 2008-11-26 P. Navratil , M. Thoresen , B. 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 convergence of no-core shell model (NCSM) calculations using renormalization group evolved low-momentum two-nucleon interactions is studied for light nuclei up to Li-7. Because no additional transformation was used in applying the NCSM…

Nuclear Theory · Physics 2008-11-26 S. K. Bogner , R. J. Furnstahl , P. Maris , R. J. Perry , A. Schwenk , J. P. Vary

Short-range correlations in 4He are investigated using many-body wave functions obtained in the no-core shell model. The similarity renormalization group (SRG) is used to evolve the Argonne V8' interaction and the density operators. The…

Nuclear Theory · Physics 2015-03-23 Thomas Neff , Hans Feldmeier , Wataru Horiuchi , Dennis Weber

We use Lee-Suzuki mappings and related techniques to construct effective two-body p-shell interactions and neutrinoless double-beta operators that exactly reproduce the results of large no-core-shell-model calculations of double-beta decay…

Nuclear Theory · Physics 2015-05-30 Deepshikha Shukla , Jonathan Engel , Petr Navratil

Modern effective-theory techniques are applied to the nuclear many-body problem. A novel approach is proposed for the renormalization of operators in a manner consistent with the construction of the effective potential. To test this…

Nuclear Theory · Physics 2009-11-10 N. P. Mehta , C. Felline , J. R. Shepard , J. Piekarewicz

Solutions to the nuclear many-body problem rely on effective interactions, and in general effective operators, to take into account effects not included in calculations. These include effects due to the truncation to finite model spaces…

Nuclear Theory · Physics 2013-01-09 I. Stetcu , J. Rotureau

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

The no-core shell model and the effective interaction $V_{{\rm low} k}$ can both be derived using the Lee-Suzuki projection operator formalism. The main difference between the two is the choice of basis states that define the model space.…

Nuclear Theory · Physics 2009-11-11 B. K. Jennings

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…

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