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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

Various perturbative and non-perturbative many-body techniques are discussed in this work. Especially, we will focus on the summation of so-called Parquet diagrams with emphasis on applications to finite nuclei. Here, the subset of two-body…

Nuclear Theory · Physics 2007-05-23 M. Hjorth-Jensen

The method of effective interaction, traditionally used in the framework of an harmonic oscillator basis, is applied to the hyperspherical formalism of few-body nuclei (A=3-6). The separation of the hyperradial part leads to a state…

Nuclear Theory · Physics 2009-10-31 Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

We present an ab initio approach for the description of collective excitations and transition strength distributions of arbitrary nuclei up into the sd-shell that based on the No-Core Shell Model in combination with the Lanczos…

Nuclear Theory · Physics 2017-09-21 Christina Stumpf , Tobias Wolfgruber , Robert Roth

We present the first application of the newly developed EKK theory of the effective nucleon-nucleon interaction to shell-model studies of exotic nuclei, including those where conventional approaches with fitted interactions encounter…

We propose the no-recoil approximation, which is valid for heavy systems, for a double folding nucleus-nucleus potential. With this approximation, the non-local knock-on exchange contribution becomes a local form. We discuss the…

Nuclear Theory · Physics 2009-11-11 K. Hagino , T. Takehi , N. Takigawa

Microscopic calculations based on realistic nuclear hamiltonians, while yielding accurate results for the energies of the ground and low-lying excited states of nuclei with $A \leq 12$, fail to reproduce the empirical equilibrium properties…

The no-core configuration-interaction model based on the isospin- and angular-momentum projected density functional formalism is introduced. Two applications of the model are presented: (i) determination of spectra of 0+ states in 62Zn and…

Nuclear Theory · Physics 2016-03-08 Wojciech Satula , Jacek Dobaczewski , Maciej Konieczka

We present results of calculations of $n{-}{^6\rm He}$ elastic scattering phase shifts and resonances in ${^7\rm He}$. The calculations utilize the SS-HORSE method combined with ab initio no-core shell model calculations of the ${^7\rm He}$…

Nuclear Theory · Physics 2022-07-12 I. A. Mazur , A. M. Shirokov , I. J. Shin , A. I. Mazur , Y. Kim , P. Maris , J. P. Vary

A realistic shell-model study is performed for neutron-deficient tin isotopes up to mass A=108. All shell-model ingredients, namely two-body matrix elements, single-particle energies, and effective charges for electric quadrupole transition…

Nuclear Theory · Physics 2015-06-23 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

This paper is an homage to the seminal work of Gerry Brown and Tom Kuo, where shell model calculations were performed for 18O and 18F using an effective interaction derived from the Hamada-Johnston nucleon-nucleon potential. That work has…

Nuclear Theory · Physics 2014-08-12 L. Coraggio , A. Covello , A. Gargano , N. Itaco

The nucleon-nucleon interaction is constructed by means of the $J$-matrix version of inverse scattering theory. Ambiguities of the interaction are eliminated by postulating tridiagonal and quasi-tridiagonal forms of the potential matrix in…

Nuclear Theory · Physics 2009-11-10 A. M. Shirokov , A. I. Mazur , S. A. Zaytsev , J. P. Vary , T. A. Weber

We study the $^6$He Borromean nucleus in coordinate representation within a three-body model with two-body potentials derived from cluster effective field theory (EFT). These potentials are originally developed in momentum space and Fourier…

Nuclear Theory · Physics 2025-06-03 E. C. Pinilla , W. Leidemann , G. Orlandini , P. Descouvemont

Large-scale shell model calculations were performed for neutron-rich even-even $^{132-136}$Te using a realistic effective interaction derived from CD-Bonn nucleon-nucleon potential for the positive and negative parity states. The calculated…

Nuclear Theory · Physics 2007-05-23 F. A. Majeed

We present a nucleus-dependent valence-space approach for calculating ground and excited states of nuclei, which generalizes the shell-model in-medium similarity renormalization group to an ensemble reference with fractionally filled…

Nuclear Theory · Physics 2017-01-24 S. R. Stroberg , A. Calci , H. Hergert , J. D. Holt , S. K. Bogner , R. Roth , A. Schwenk

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

A density-dependent two-nucleon potential has been derived in the formalism of correlated basis function. The effects of 3-particle interactions has been included by integrating out the degrees of freedom of the third nucleon. The potential…

The spin-orbit splittings in the spectra of nuclei with mass numbers 5, 15 and 17 are studied within the framework of shell-model configuration mixing calculations including 2$\hbar \omega$ excitations. The contributions of the two-body…

Nuclear Theory · Physics 2007-05-23 Y. Y Sharon , M. S. Fayache , Y. Durga Devi , L. Zamick , H. Muether

This paper discusses the derivation of an effective shell-model hamiltonian starting from a realistic nucleon-nucleon potential by way of perturbation theory. More precisely, we present the state of the art of this approach when the…

Nuclear Theory · Physics 2015-06-05 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

We solve the ab initio no-core shell model (NCSM) in the complete Nmax = 8 basis for A = 7 and A = 8 nuclei with two-nucleon and three-nucleon interactions derived within chiral effective field theory (EFT). We find that including the…

Nuclear Theory · Physics 2015-03-20 Pieter Maris , James P. Vary , Petr Navratil