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We evaluate the allowed $\beta^-$-decay properties of nuclei with $Z = 8 - 15$ systematically under the framework of the nuclear shell model with the use of the valence space Hamiltonians derived from modern $ab~intio$ methods, such as…

Nuclear Theory · Physics 2020-03-23 Anil Kumar , Praveen C. Srivastava , Toshio Suzuki

We present a novel approach to spin-adapted coupled cluster theory. This approach is based on the entanglement of an open-shell molecule with electrons in a non-interacting bath; together they form a closed-shell state. For the total…

Chemical Physics · Physics 2023-05-22 Sarai Dery Folkestad , Bendik Støa Sannes , Henrik Koch

We provide new insights into backbending phenomenon within the symmetry-adapted framework which naturally describes the intrinsic deformation of atomic nuclei. For $^{20}\text{Ne}$, the canonical example of backbending in light nuclei, the…

A brief overview is given of the Continuum Shell Model, a novel approach that extends the traditional nuclear shell model into the domain of unstable nuclei and nuclear reactions. While some of the theoretical aspects, such as role and…

Nuclear Theory · Physics 2009-11-10 Alexander Volya , Vladimir Zelevinsky

Several topics concerning nuclear structure and electromagnetic interactions of heavy nuclei are reviewed. These comprehend the deformed single-particle shell model, nuclear collective motion, symmetry breaking and approximate symmetry…

Nuclear Theory · Physics 2024-06-12 Alejandro Restrepo-Giraldo

Characteristic modes of a spherical shell are found analytically as spherical harmonics normalized to radiate unitary power and to fulfill specific boundary conditions. The presented closed-form formulas lead to a proposal of precise…

Computational Physics · Physics 2019-02-19 Miloslav Capek , Vit Losenicky , Lukas Jelinek , Mats Gustafsson

The spectral and statistical properties of nuclei $^{46}$V and $^{48}$Cr are studied in the framework of nuclear shell model. A microscopical effective Hamiltonian derived from the CD-Bonn \textit{NN} potential is employed. The calculations…

Nuclear Theory · Physics 2007-05-23 C. Qi , F. R. Xu

One of the common methods used to investigate the nuclear structures of atomic nuclei is the nuclear shell model. Similar to the placement of atomic electrons into orbits, in the nuclear shell model, protons and neutrons are thought to fill…

Nuclear Theory · Physics 2020-04-14 Serkan Akkoyun , Tuncay Bayram

An implementation of the shell-model to the complex energy plane is presented. The representation used in the method consists of bound single-particle states, Gamow resonances and scattering waves on the complex energy plane. Two-particle…

Nuclear Theory · Physics 2009-11-07 R. Id Betan , R. J. Liotta , N. Sandulescu , T. Vertse

Semiclassical analysis of shell structures in realistic nuclear potentials are presented using periodic-orbit theory. We adopted r^alpha potential model and examined classical-quantum correspondence using Fourier transformation technique.…

Nuclear Theory · Physics 2009-11-11 Ken-ichiro Arita

We consider the quasi-classical model of the spin-free configuration on the basis of the self-gravitating spherical dust shell in General Relativity. For determination of the energy spectrum of the stationary states on the basis of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. D. Gladush

More than half a century after the fundamental, spherical shell structure in nuclei has been established, theoretical predictions indicate that the shell-gaps comparable or even stronger than those at spherical shapes may exist.…

Nuclear Theory · Physics 2009-11-07 J. Dudek , A. Gozdz , N. Schunck , M. Miskiewicz

The shell model solve the nuclear many-body problem in a restricted model space and takes into account the restricted nature of the space by using effective interactions and operators. In this paper two different methods for generating the…

Nuclear Theory · Physics 2009-11-11 B. K. Jennings

We present the first systematic nonlocal dispersive optical model analysis using both bound-state and scattering data of $^{16,18}$O, $^{40,48}$Ca, $^{58,64}$Ni, $^{112,124}$Sn, and $^{208}$Pb. In all systems, roughly half the total nuclear…

Nuclear Theory · Physics 2020-09-09 C. D. Pruitt , R. J. Charity , L. G. Sobotka , M. C. Atkinson , W. H. Dickhoff

Some emerging concepts of nuclear structure are overviewed. (1) Background: the many-body quantum structure of atomic nucleus, a complex system comprising protons and neutrons (called nucleons collectively), has been studied largely based…

Nuclear Theory · Physics 2022-01-19 Takaharu Otsuka

Semiclassical periodic-orbit theory (POT) is applied to the physics of nuclear structures, with the use of a realistic nuclear mean-field model given by the radial power-law potential. Evolution of deformed shell structures, which are…

Nuclear Theory · Physics 2016-05-09 Ken-ichiro Arita

We report on the development of a new shell-model Monte Carlo algorithm which uses the proton-neutron formalism. Shell model Monte Carlo methods, within the isospin formulation, have been successfully used in large-scale shell-model…

Nuclear Theory · Physics 2015-06-26 C. Ozen , D. J. Dean

We propose a variational calculation scheme utilizing the superposition of the angular-momentum, parity, number projected quasiparticle vacua, that is especially suitable for applying to medium-heavy nuclei in shell-model calculations. We…

Nuclear Theory · Physics 2021-01-27 Noritaka Shimizu , Yusuke Tsunoda , Yutaka Utsuno , Takaharu Otsuka

The binding energy of an isotope is a sensitive indicator of the underlying shell structure as it reflects the net energy content of a nucleus. Since magic nuclei are significantly lighter, or more bound, compared to their neighbors, the…

Nuclear Theory · Physics 2024-03-22 Landon Buskirk , Kyle Godbey , Witold Nazarewicz , Wojciech Satula

Theoretical concepts in condensed matter physics are typically verified and also developed by exploiting computer simulations mostly in simple models. Predictions based on these usually isotropic models are often at odds with measurement…

Soft Condensed Matter · Physics 2020-11-13 K. Koperwas , A. Grzybowski , M. Paluch