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By means of periodic orbit theory and deformed cavity model, we have investigated semiclassical origin of superdeformed shell structure and also of reflection-asymmetric deformed shapes. Systematic analysis of quantum-classical…

Nuclear Theory · Physics 2009-10-30 K. Arita , A. Sugita , K. Matsuyanagi

This article presents original work combining a NURBS-based inverse analysis with both kinematic and constitutive nonlinearities to recover the applied loads and deformations of thin shell structures. The inverse formulation is tackled by…

Computational Engineering, Finance, and Science · Computer Science 2019-02-07 N. Vu-Bac , T. X. Duong , T. Lahmer , X. Zhuang , R. A. Sauer , H. S. Parke , T. Rabczuk

Systematic alpha-nucleus folding potentials are used to analyze alpha-decay half-lives of superheavy nuclei. Preformation factors of about several per cent are found for all nuclei under study. The systematic behavior of the preformation…

Nuclear Theory · Physics 2014-11-18 Peter Mohr

In the traditional view, heavy deformed nuclei are like axially-symmetric prolate ellipsoids, rotating about one of the short axes. In the present picture, their shapes may be triaxial. The triaxial shape yields complex rotations, which…

Nuclear Theory · Physics 2025-03-21 T. Otsuka , Y. Tsunoda , N. Shimizu , Y. Utsuno , T. Abe , H. Ueno

Correspondence between classical periodic orbits and quantum shell structure is investigated for a reflection-asymmetric deformed oscillator model as a function of quadrupole and octupole deformation parameters. Periodic orbit theory…

Nuclear Theory · Physics 2009-10-28 Ken-ichiro Arita , Kenichi Matsuyanagi

A numerical method close to the Strutinsky procedure (but better) is proposed to calculate the deformation energy of nuclei. Quadrupole (triaxial) deformations are considered. Theoretical as well as practical aspects of the method are…

Nuclear Theory · Physics 2015-06-04 B. Mohammed-Azizi

Relationship between quantum shell structure and classical periodic orbits is briefly reviewed on the basis of semi-classical trace formula. Using the spheroidal cavity model, it is shown that three-dimensional periodic orbits, which are…

Nuclear Theory · Physics 2009-11-07 K. Arita , A. G. Magner , K. Matsuyanagi

This paper presents two new constructions related to singular solutions of polynomial systems. The first is a new deflation method for an isolated singular root. This construction uses a single linear differential form defined from the…

Algebraic Geometry · Mathematics 2016-01-05 Jonathan D. Hauenstein , Bernard Mourrain , Agnes Szanto

A set of exactly computable orthonormal basis functions that are useful in computations involving constituent quarks is presented. These basis functions are distinguished by the property that they fall off algebraically in momentum space…

Nuclear Theory · Physics 2009-10-30 B. D. Keister , W. N. Polyzou

The intersection of Quantum Chemistry and Quantum Computing has led to significant advancements in understanding the potential of using quantum devices for the efficient calculation of molecular energies. Simultaneously, this intersection…

Quantum Physics · Physics 2025-09-03 Davide Materia , Leonardo Ratini , Celestino Angeli , Leonardo Guidoni

Large-scale shell-model calculations are carried out in the model space including neutron-hole orbitals $2p_{1/2}$, $1f_{5/2}$, $2p_{3/2}$, $0i_{13/2}$, $1f_{7/2}$ and $0h_{9/2}$ to study the structure and electromagnetic properties of…

Nuclear Theory · Physics 2016-07-20 Chong Qi , L. Y. Jia , G. J. Fu

Atomic nuclei can be spontaneously deformed into non-spherical shapes as many-nucleon systems. We discuss to what extent a similar deformation takes place in many-electron systems. To this end, we employ several many-body methods, such as…

Atomic Physics · Physics 2021-09-24 Tomoya Naito , Shimpei Endo , Kouichi Hagino , Yusuke Tanimura

Although self-consistent multi-configuration methods have been used for decades to address the description of atomic and molecular many-body systems, only a few trials have been made in the context of nuclear structure. This work aims at…

Nuclear Theory · Physics 2016-02-02 C. Robin , N. Pillet , D. Peña Arteaga , J. -F. Berger

A set of moderately deformed $s-d$ shell nuclei is employed for testing the reliability of the nuclear ground state wave functions which are obtained in the context of a BCS approach and offer a simultaneous consideration of deformation and…

Nuclear Theory · Physics 2009-11-11 Ch. C. Moustakidis , T. S. Kosmas , F. Simkovic , Amand Faessler

Today there are a plethora of many-body techniques for calculating nuclear wave functions and matrix elements. I review the status of that reliable workhorse, the interacting shell model, a.k.a. configuration-interaction methods, a.k.a.…

Nuclear Theory · Physics 2018-09-27 Calvin W. Johnson

An energy functional for orbital based $O(N)$ calculations is proposed, which depends on a number of non orthogonal, localized orbitals larger than the number of occupied states in the system, and on a parameter, the electronic chemical…

mtrl-th · Physics 2016-09-07 Jeongnim Kim , Francesco Mauri , Giulia Galli

The rotational bands in nuclei with $Z \approx 100$ are investigated systematically by using a cranked shell model (CSM) with the pairing correlations treated by a particle-number conserving (PNC) method, in which the blocking effects are…

Nuclear Theory · Physics 2012-01-27 Zhen-Hua Zhang , Xiao-Tao He , Jin-Yan Zeng , En-Guang Zhao , Shan-Gui Zhou

Continuum solvation models are becoming increasingly relevant in condensed matter simulations, allowing to characterize materials interfaces in the presence of wet electrified environments at a reduced computational cost with respect to all…

Computational Physics · Physics 2023-08-16 Gabriel Medrano , Edan Bainglass , Oliviero Andreussi

In this paper we present an evolution of our derivation of the shell-model effective Hamiltonian, namely introducing effects of three-body contributions. More precisely, we consider a three-body potential at next-to-next-to-leading order in…

Nuclear Theory · Physics 2018-10-10 T. Fukui , L. De Angelis , Y. Z. Ma , L. Coraggio , A. Gargano , N. Itaco , F. R. Xu

We show and interpret three examples of nontrivial results obtained in numerical simulations of many-body systems: exponential convergence of low-lying energy eigenvalues in the process of progressive truncation of huge shell-model…

Nuclear Theory · Physics 2017-08-23 Vladimir Zelevinsky , Alexander Volya
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