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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

We survey the impact of nuclear three-body forces on structure properties of nuclei within the shell model. It has long been acknowledged, since the seminal works of Zuker and coworkers, that three-body forces play a fundamental role in…

Nuclear Theory · Physics 2023-09-06 L. Coraggio , G. De Gregorio , T. Fukui , A. Gargano , Y. Z. Ma , Z. H. Cheng , F. R. Xu

Recently it was argued that it might be possible treat the conventional nuclear structure problem -- nonrelativistic point nucleons interacting through a static and rather singular potential -- as an effective theory in a shell-model basis.…

Nuclear Theory · Physics 2009-11-07 W. C. Haxton , T. Luu

For the first time, the calculation of the nuclear matrix element of the double-$\beta$ decay of $^{100}$Mo, with and without the emission of two neutrinos, is performed in the framework of the nuclear shell model. This task is accomplished…

Nuclear Theory · Physics 2022-03-23 L. Coraggio , N. Itaco , G. De Gregorio , A. Gargano , R. Mancino , F. Nowacki

We present the results of the application of a nuclear potential consisting of two- and three-nucleon contact interactions in nuclear structure investigations. The nuclear Hamiltonian has been derived for a very low-energy regime within the…

Nuclear Theory · Physics 2025-11-25 Songlin Lyu , Francesco Amodio , Giovanni De Gregorio , Nunzio Itaco , Luigi Coraggio

We present a novel scheme for nuclear structure calculations based on realistic nucleon-nucleon potentials. The essential ingredient is the explicit treatment of the dominant interaction-induced correlations by means of the Unitary…

Nuclear Theory · Physics 2009-11-10 R. Roth , T. Neff , H. Hergert , H. Feldmeier

In nuclear structure calculations, the choice of a limited model space, due to computational needs, leads to the necessity to renormalize the Hamiltonian as well as any transition operator. Here, we present a study of the renormalization…

Nuclear Theory · Physics 2019-07-31 L. Coraggio , L. De Angelis , T. Fukui , A. Gargano , N. Itaco , F. Nowacki

We study a method by which realistic nucleon-nucleon potentials V_NN can be reduced, in a physically equivalent way, to an effective low-momentum potential V-low-k confined within a cut-off momentum k-cut. Our effective potential is…

Nuclear Theory · Physics 2009-11-07 Scott Bogner , T. T. S. Kuo , L. Coraggio

Nuclear structure and reaction theory are undergoing a major renaissance with advances in many-body methods, realistic interactions with greatly improved links to Quantum Chromodynamics, the advent of high performance computing, and…

Nuclear Theory · Physics 2019-10-02 Pieter Maris

In the last years, chiral effective field theory has been successfully developed for and applied to systems with few nucleons. Here, I present a new approach for ab initio calculations of nuclei that combines these precise and systematic…

Nuclear Theory · Physics 2015-05-27 Ulf-G. Meißner

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

We present an approach to derive effective shell-model interactions from microscopic nuclear forces. The similarity-transformed coupled-cluster Hamiltonian decouples the single-reference state of a closed-shell nucleus and provides us with…

Nuclear Theory · Physics 2018-12-05 Z. H. Sun , T. D. Morris , G. Hagen , G. R. Jansen , T. Papenbrock

We have performed realistic shell-model calculations for nuclei around doubly magic 100Sn and 132Sn using an effective interaction derived from the Bonn A nucleon-nucleon potential. The results are in remarkably good agreement with the…

Nuclear Theory · Physics 2022-03-02 A. Covello , L. Coraggio , A. Gargano

We discuss shell-model calculations based on the use of low-momentum interactions derived from the free-space nucleon-nucleon potential. A main feature of this approach is the construction of a smooth potential, V-low-k, defined within a…

Nuclear Theory · Physics 2010-12-17 A. Gargano , L. Coraggio , A. Covello , N. Itaco

We have performed shell-model calculations for the even- and odd-mass N=82 isotones, focusing attention on low-energy states. The single-particle energies and effective two-body interaction have been both determined within the framework of…

Nuclear Theory · Physics 2009-12-17 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

We construct valence-space Hamiltonians for use in shell-model calculations, where the residual two-body interaction is based on symmetry principles and the low-momentum expansion from chiral effective field theory. In addition to the usual…

Nuclear Theory · Physics 2018-11-13 Lukas Huth , Victoria Durant , Johannes Simonis , Achim Schwenk

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 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

Neutrinoless double beta decay searches are currently among the major foci of experimental physics. The observation of such a decay will have important implications in our understanding of the intrinsic nature of neutrinos and shed light on…

Nuclear Theory · Physics 2020-12-15 L. Coraggio , N. Itaco , G. De Gregorio , A. Gargano , R. Mancino , S. Pastore

The single-particle spectrum of the two nuclei 133Sb and 101Sn is studied within the framework of the time-dependent degenerate linked-diagram perturbation theory starting from a class of onshell-equivalent realistic nucleon-nucleon…

Nuclear Theory · Physics 2009-10-13 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo