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In this review, we present a symmetry-guided strategy that utilizes exact as well as partial symmetries for enabling a deeper understanding of and advancing ab initio studies for determining the microscopic structure of atomic nuclei. These…

Nuclear Theory · Physics 2016-12-14 Kristina D. Launey , Tomas Dytrych , Jerry P. Draayer

A new Quantum Monte-Carlo (QMC) approach is proposed to investigate low-lying states of nuclei within the shell model. The formalism relies on a variational symmetry-restored wave-function to guide the underlying Brownian motion. Sign/phase…

Nuclear Theory · Physics 2015-10-20 Jérémy Bonnard , Olivier Juillet

Nuclear structure theory has recently gone through a major renewal with the development of ab initio techniques that can be applied to a large number of atomic nuclei, well beyond the light sector that had been traditionally targeted in the…

Nuclear Theory · Physics 2020-10-09 Vittorio Somà

A novel machine learning approach is used to provide further insight into atomic nuclei and to detect orderly patterns amidst a vast data of large-scale calculations. The method utilizes a neural network that is trained on ab initio results…

Nuclear Theory · Physics 2022-03-14 O. M. Molchanov , K. D. Launey , A. Mercenne , G. H. Sargsyan , T. Dytrych , J. P. Draayer

The feasibility of shell-model calculations is radically extended by the Quantum Monte Carlo Diagonalization method with various essential improvements. The major improvements are made in the sampling for the generation of shell-model basis…

Nuclear Theory · Physics 2008-11-26 Michio Honma , Takahiro Mizusaki , Takaharu Otsuka

After a brief review of the theoretical description of nuclei based on nonrelativistic many-body theory and realistic hamiltonians, these lectures focus on its application to the analysis of the electroweak response. Special emphasis is…

Nuclear Theory · Physics 2015-05-13 Omar Benhar

A symplectic no-core shell model (Sp-NCSM) is constructed with the goal of extending the {\it ab-initio} NCSM to include strongly deformed higher-oscillator-shell configurations and to reach heavier nuclei that cannot be studied currently…

The main progress in the field of nucleon-nucleon (NN) potentials, which we have seen in recent years, is the construction of some very quantitative (high-quality/high-precision) NN potentials. These potentials will serve as excellent input…

Nuclear Theory · Physics 2007-05-23 R. Machleidt

We perform no-core configuration interaction calculations for nuclei in the p-shell. We show that for typical light nuclei, a truncation on the total number of quanta in the many-body system converges much more rapidly than a full…

Nuclear Theory · Physics 2015-06-11 Pieter Maris

The nuclear shell model is one of the prime many-body methods to study the structure of atomic nuclei, but it is hampered by an exponential scaling on the basis size as the number of particles increases. We present a shell-model quantum…

Quantum Physics · Physics 2023-09-18 A. Pérez-Obiol , A. M. Romero , J. Menéndez , A. Rios , A. García-Sáez , B. Juliá-Díaz

A review is presented of the development and current status of nuclear shell-model calculations in which the two-body effective interaction is derived from the free nucleon-nucleon potential. The significant progress made in this field…

Nuclear Theory · Physics 2008-12-18 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

This review presents some of the challenges in constructing models of atomic nuclei starting from theoretical descriptions of the strong interaction between nucleons. The focus is on statistical computing and methods for analyzing the link…

Nuclear Theory · Physics 2019-12-06 Andreas Ekström

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

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

The problem of the structure of nucleons and their interaction in the concept of nonperturbative QCD is discussed as an approach to studying the transformation of current quarks into constituent ones and the search for the mechanism of such…

High Energy Physics - Phenomenology · Physics 2023-03-22 Vladimir I. Komarov

Modern nuclear structure theory is rapidly evolving towards regions of exotic short-lived nuclei far from stability, nuclear astrophysics applications, and bridging the gap between low-energy QCD and the phenomenology of finite nuclei. The…

Nuclear Theory · Physics 2009-11-10 D. Vretenar

Study of the N ~ Z nuclei in the mass-80 region is not only interesting due to the existence of abundant nuclear structure phenomena, but also important in understanding the nucleosynthesis in the rp-process. It is not feasible to apply a…

Nuclear Theory · Physics 2009-11-07 Yang Sun

Realistic nuclear potentials, derived within chiral perturbation theory, are a major breakthrough in modern nuclear structure theory, since they provide a direct link between nuclear physics and its underlying theory, namely the QCD. As a…

Nuclear Theory · Physics 2016-05-18 L. Coraggio , A. Gargano , J. W. Holt , N. Itaco , R. Machleidt , L. E. Marcucci , F. Sammarruca

A realistic description of halo nuclei, characterized by low-lying breakup thresholds, requires a proper treatment of continuum effects. We have developed an ab initio approach, the no-core shell model with continuum (NCSMC), capable of…

Nuclear Theory · Physics 2026-05-26 Petr Navratil , Sofia Quaglioni , Guillaume Hupin , Michael Gennari , Kostas Kravvaris

Exascale computing could soon enable a predictive theory of nuclear structure and reactions rooted in the Standard Model, with quantifiable and systematically improvable uncertainties. Such a predictive theory will help exploit experiments…