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The structure and reactions of light nuclei represent fundamental and formidable challenges for microscopic theory based on realistic strong interaction potentials. Several {\it ab initio} methods have now emerged that provide nearly exact…

Nuclear Theory · Physics 2015-05-13 James P. Vary , Pieter Maris , Esmond Ng , Chao Yang , Masha Sosonkina

The formalism based on correlated basis functions and the cluster expansion technique has been recently employed to derive an effective interaction from a realistic nuclear hamiltonian. To gauge the reliability of this scheme, we perform a…

Nuclear Theory · Physics 2015-08-17 Angela Mecca , Alessandro Lovato , Omar Benhar , Artur Polls

Ab initio approaches in nuclear theory, such as the no-core shell model (NCSM), have been developed for approximately solving finite nuclei with realistic strong interactions. The NCSM and other approaches require an extrapolation of the…

We investigate selected static and transition properties of $^{12}$C using ab initio No-Core Shell Model (NCSM) methods with chiral two- and three-nucleon interactions. We adopt the Similarity Renormalization Group (SRG) to assist…

Nuclear Theory · Physics 2014-07-23 P. Maris , J. P. Vary , A. Calci , J. Langhammer , S. Binder , R. Roth

Clear evidence for symplectic symmetry in low-lying states of $^{12}$C and $^{16}$O is reported. Eigenstates of $^{12}$C and $^{16}$O, determined within the framework of the no-core shell model using the JISP16 $NN$ realistic interaction,…

[Background] Single-reference density functional theory is very successful in reproducing bulk nuclear properties like binding energies, radii, or quadrupole moments throughout the entire periodic table. Its extension to the multi-reference…

Nuclear Theory · Physics 2017-01-30 W. Satula , P. Baczyk , J. Dobaczewski , M. Konieczka

We are witnessing an era of intense experimental efforts that will provide information about the properties of nuclei far from the line of stability, regarding resonant and scattering states as well as (weakly) bound states. This talk…

Nuclear Theory · Physics 2015-09-01 B. R. Barrett , G. Papadimitriou , N. Michel , M. Płoszajczak

The computational cost of ab initio nuclear structure calculations is rendered particularly acute by the presence of (at least) three-nucleon interactions. This feature becomes especially critical now that many-body methods aim at extending…

The Contractor Renormalization (CORE) method is applied in combination with modern effective-theory techniques to the nuclear many-body problem. A one-dimensional--yet ``realistic''--nucleon-nucleon potential is introduced to test these…

Nuclear Theory · Physics 2009-11-07 H. Mueller , J. R. Shepard , J. Piekarewicz

We propose an importance truncation scheme for the no-core shell model, which enables converged calculations for nuclei well beyond the p-shell. It is based on an a priori measure for the importance of individual basis states constructed by…

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

We use diagrammatic perturbation theory to construct an effective shell-model operator for the neutrinoless double-beta decay of 82Se. The starting point is the same Bonn-C nucleon-nucleon interaction that is used to generate the…

Nuclear Theory · Physics 2009-08-03 Jonathan Engel , Gaute Hagen

We construct an effective shell-model interaction for the valence space spanned by single-particle neutron and single-hole proton states in $^{100}$Sn. Starting from chiral nucleon-nucleon and three-nucleon forces and single-reference…

Nuclear Theory · Physics 2021-12-16 Z. H. Sun , G. Hagen , G. R. Jansen , T. Papenbrock

Recent developments in nuclear theory allow us to make a connection between quantum chromodynamics (QCD) and low-energy nuclear physics. First, chiral effective field theory (chiEFT) provides a natural hierarchy to define two-nucleon (NN),…

Nuclear Theory · Physics 2009-01-08 P. Navratil , V. G. Gueorguiev , J. P. Vary , W. E. Ormand , A. Nogga , S. Quaglioni

We present a brief overview of recent developments in ab initio calculations of nuclear scattering and reactions with a focus on applications of the no-core shell model with continuum method.

Nuclear Theory · Physics 2021-01-21 Sofia Quaglioni , 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

We develop a new formalism to treat nuclear many-body systems using bare nucleon-nucleon interaction. It has become evident that the tensor interaction plays important role in nuclear many-body systems due to the role of the pion in…

Nuclear Theory · Physics 2017-04-28 Takayuki Myo , Hiroshi Toki , Kiyomi Ikeda , Hisashi Horiuchi , Tadahiro Suhara

We apply the general principles of effective field theories to the construction of effective interactions suitable for few- and many-body calculations in a no-core shell model framework. We calculate the spectrum of systems with three and…

Other Condensed Matter · Physics 2008-11-26 I. Stetcu , B. R. Barrett , U. van Kolck , J. P. Vary

The intrinsic dynamics of a system with open decay channels is described by an effective non-Hermitian Hamiltonian which at the same time allows one to find the external dynamics, - reaction cross sections. We discuss ways of incorporating…

Nuclear Theory · Physics 2009-11-07 Alexander Volya , Vladimir Zelevinsky

Starting from the matrix elements of the nucleon-nucleon interaction in momentum space we present a method to derive an operator representation with a minimal set of operators that is required to provide an optimal description of the…

Nuclear Theory · Physics 2014-04-04 D. Weber , H. Feldmeier , H. Hergert , T. Neff

Realistic nucleon-nucleon (NN) interactions, derived within the framework of meson theory or more recently in terms of chiral effective field theory, yield new possibilities for achieving a unified microscopic description of atomic nuclei.…

Nuclear Theory · Physics 2007-05-23 K. D. Sviratcheva , J. P. Draayer , J. P. Vary
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