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This paper presents a short overview of the shell-model approach with realistic effective interactions to the study of exotic nuclei. We first give a sketch of the current state of the art of the theoretical framework of this approach,…

Nuclear Theory · Physics 2015-06-19 A. Gargano , L. Coraggio , A. Covello , N. Itaco

$^{229}$Th, a crucial candidate for nuclear clocks and many other applications, is a typical heavy nucleus with an extremely low-energy isomeric state $^{229m}$Th. A detailed study of the nuclear structure of $^{229}$Th is performed here by…

Nuclear Theory · Physics 2025-08-28 Zi-Rui Chen , Long-Jun Wang , Yuanbin Wu

The generalized seniority scheme has long been proposed as a means of dramatically reducing the dimensionality of nuclear shell model calculations, when strong pairing correlations are present. However, systematic benchmark calculations,…

Nuclear Theory · Physics 2012-03-23 M. A. Caprio , F. Q. Luo , K. Cai , V. Hellemans , C. Constantinou

Deformation, a key concept in our understanding of heavy nuclei, is based on a mean-field description that breaks the rotational invariance of the nuclear many-body Hamiltonian. We present a method to analyze nuclear deformations at finite…

Nuclear Theory · Physics 2015-01-07 Y. Alhassid , C. N. Gilbreth , G. F. Bertsch

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

An effective two-body interaction is constructed from a new Reid-like $NN$ potential for a large no-core space consisting of six major shells and is used to generate the shell-model properties for light nuclei from $A$=2 to 6. (For…

Nuclear Theory · Physics 2008-11-26 D. C. Zheng , J. P. Vary , B. R. Barrett

The structure of weakly bound and unbound nuclei close to particle drip lines is one of the major science drivers of nuclear physics. A comprehensive understanding of these systems goes beyond the traditional configuration interactions…

Nuclear Theory · Physics 2017-11-29 Y. Jaganathen , R. M. Id Betan , N. Michel , W. Nazarewicz , M. Ploszajczak

We investigate the deformation properties of atomic nuclei in a hadronic chiral SU_f(3) model approach. The parameters are fitted to hadron mass properties and adjustments for spherical finite nuclei have been performed. Using these…

Nuclear Theory · Physics 2009-11-07 S. Schramm

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

Empirically determined values of the nuclear volume and surface symmetry energy coefficients from nuclear masses are expressed in terms of density distributions of nucleons in heavy nuclei in the local density approximation. This is then…

Nuclear Theory · Physics 2015-06-16 B. K. Agrawal , J. N. De , S. K. Samaddar , G. Colo , A. Sulaksono

Various model applications in nuclear structure and reactions have been formulated starting with the Feshbach projection formalism. In recent studies a truncated excluded space has been enumerated to facilitate calculation and identify a…

Nuclear Theory · Physics 2008-11-26 S. Karataglidis , K. Amos

Modeling the energy and forces of atomic systems is a fundamental problem in computational chemistry with the potential to help address many of the world's most pressing problems, including those related to energy scarcity and climate…

We optimize the matrix representation of the nucleon-pair approximation (NPA) of the nuclear shell model. The NPA is a widely adopted truncation approach of the nuclear shell model and proves to be effective in describing low-lying states…

Nuclear Theory · Physics 2022-01-27 Y. Lei , Y. Lu

The Self-similar-structure shell model (SSM) comes from the evolution of the conventional shell model (SM) and keeps the energy level of SM single particle harmonic oscillation motion. In SM, single particle motion is the positive harmonic…

Nuclear Theory · Physics 2012-03-01 Zhengda Wang , Xiaobin Wang , Xiaodong Zhang , Xiaochun Wang

The current generation of covariant mean-field models has had many successes in calculations of bulk observables for medium to heavy nuclei, but there remain many open questions. New challenges are confronted when trying to systematically…

Nuclear Theory · Physics 2017-01-25 R. J. Furnstahl

We study the structure of nucleon pairs within a simple model consisting of a square well in three dimensions and a delta-function residual interaction between two weakly-bound particles at the Fermi surface. We include the continuum by…

Nuclear Theory · Physics 2011-05-12 J. R. Bennett , J. Engel , S. Pittel

We discuss damping of the collective rotational motion in $A\sim 150$ superdeformed nuclei by means of a shell model combining the cranked Nilsson mean-filed and the surface-delta two-body residual force. It is shown that, because of the…

Nuclear Theory · Physics 2009-10-30 K. Yoshida , M. Matsuo

This work reviews foundations and applications of the complex-energy continuum shell model that provides a consistent many-body description of bound states, resonances, and scattering states. The model can be considered a quasi-stationary…

Nuclear Theory · Physics 2009-01-08 N. Michel , W. Nazarewicz , M. Ploszajczak , T. Vertse

The spin and parity dependent nuclear level densities (NLD) are calculated for medium-heavy nuclei using shell model techniques. The NLD are used to calculate cross sections and reaction rates of interest for nuclear astrophysics and…

Nuclear Theory · Physics 2018-01-17 Mihai Horoi , Jayani Dissanayake

An extrapolation method in shell model calculations with deformed basis is presented, which uses a scaling property of energy and energy variance for a series of systematically approximated wave functions to the true one. Such approximated…

Nuclear Theory · Physics 2009-11-10 Takahiro Mizusaki
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