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In solids, crystal field splitting refers to the lifting of atomic orbital degeneracy by the surrounding ions through the static electric field. Similarly, we show that the degenerated $d$ orbitals, which were derived in the harmonic…

Strongly Correlated Electrons · Physics 2018-12-18 Hua Chen , X. C. Xie

The Deformation Dependent Mass (DDM) Kratzer model is constructed by considering the Kratzer potential in a Bohr Hamiltonian, in which the mass is allowed to depend on the nuclear deformation, and solving it by using techniques of…

Nuclear Theory · Physics 2015-06-16 Dennis Bonatsos , P. E. Georgoudis , N. Minkov , D. Petrellis , C. Quesne

We use Faddeev's decomposition to solve the shell-model problem for three nucleons. The dependence on harmonic-oscillator excitations allowed in the model space, up to $32 \hbar\Omega$ in the present calculations, and on the…

Nuclear Theory · Physics 2008-11-26 P. Navratil , B. R. Barrett

Background: Nuclear deformation provides a crucial characteristic of nuclear structure. Conventionally, the quadrupole deformation length of a nucleus, $\delta_{2}$, has often been determined based on a macroscopic model through a deformed…

The origin of the asymmetry in the fragment mass distribution of low-energy nuclear fission is considered from the semiclassical point of view. Using the semiclassical periodic-orbit theory, one can define and quantify the shell effect…

Nuclear Theory · Physics 2020-01-06 K. Arita , T. Ichikawa , K. Matsuyanagi

The last decade has witnessed both quantitative and qualitative progresses in Shell Model studies, which have resulted in remarkable gains in our understanding of the structure of the nucleus. Indeed, it is now possible to diagonalize…

Nuclear Theory · Physics 2008-11-26 E. Caurier , G. Martínez-Pinedo , F. Nowacki , A. Poves , A. P. Zuker

The odd-odd fp-shell nucleus 52Sc was investigated using in-beam gamma-ray spectroscopy following secondary fragmentation of a 55V and 57Cr cocktail beam. Aside from the known gamma-ray transition at 674(5)keV, a new decay at E_gamma=212(3)…

The understanding of clustering aspects at the ground state of nuclei and in fast rotating ones within the framework of covariant density functional theory has been reviewed and reanalyzed. The appearance of many exotic nuclear shapes in…

Nuclear Theory · Physics 2025-01-09 A. V. Afanasjev

A dynamical study of the decay of a metastable state by quantum tunneling through an anisotropic, non separable, two-dimensional potential barrier is performed by the numerical solution of the time-dependent Schrodinger equation. Initial…

Nuclear Theory · Physics 2008-11-26 P. Talou , N. Carjan , D. Strottman

The well-known spatial integration schemes in molecular electronic structure theory, immune to cusps and point singularities of some kind at atomic positions, use a set of weighting functions to split the integrand into a sum of…

Chemical Physics · Physics 2022-09-14 Dimitri N. Laikov

The density profiles of around 750 nuclei are analyzed using the Skyrme energy density functional theory. Among them, more than 350 nuclei are found to be deformed. In addition to rather standard properties of the density, we report a…

Nuclear Theory · Physics 2015-06-17 G. Scamps , D. Lacroix , G. G. Adamian , N. V. Antonenko

Energies and spectroscopic factors of the first $7/2^-$, $3/2^-$, $1/2^-$ and $5/2^-$ states in the $^{35}$Si$_{21}$ nucleus were determined by means of the (d,p) transfer reaction in inverse kinematics at GANIL using the MUST2 and EXOGAM…

We consider two-body and quasi-two-body decays of the type $f_1 \to f_2 B$, where $f_1$ and $f_2$ are spin-1/2 fermions and $B$ a spin-0 or spin-1 boson. After recalling the non-covariant formalism for decay amplitudes, we derive the…

High Energy Physics - Phenomenology · Physics 2020-01-08 Z. J. Ajaltouni , E. Di Salvo

The mechanism of backbending is semi-phenomenologically investigated based on the hybridization of two rotational bands. These bands are defined by treating a model Hamiltonian describing two interacting subsystems: a set of particles…

Nuclear Theory · Physics 2015-05-30 A. A. Raduta , R. Budaca

We extend the spherical coupled-cluster ab initio method for open-shell nuclei where two nucleons are removed from a shell subclosure. Following the recent implementation of the two-particle attached approach [Phys. Rev.C 110 (2024) 4,…

Nuclear Theory · Physics 2026-02-06 Francesco Marino , Francesca Bonaiti , Sonia Bacca , Gaute Hagen , Gustav R. Jansen

Exotic cluster decay of very heavy nuclei has been studied in the microscopic Super-Asymmetric Fission Model. Relativistic Mean Field model with the force FSU Gold has been employed to obtain the densities of the cluster and the daughter…

Nuclear Theory · Physics 2008-11-26 Madhubrata Bhattacharya , G. Gangopadhyay

Improved potential solutions are presented for the inverse scattering problem for $d$+$^4$He data. The input for the inversions includes both the data of recent phase shift analyses and phase shifts from RGM coupled-channel calculations…

Nuclear Theory · Physics 2019-08-17 V. I. Kukulin , V. N. Pomerantsev , S. G. Cooper , S. B. Dubovichenko

We demonstrate that hot superheavy nuclei do not retain spherical shapes, as traditionally assumed, but instead equilibrate in deformed, often oblate or triaxial, configurations at finite excitation energy. This behavior arises from a…

Nuclear Theory · Physics 2026-05-28 A. Rahmatinejad , T. M. Shneidman , G. G. Adamian , N. V. Antonenko , P. Jachimowicz , M. Kowal

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 analyze the ability of the three different Liquid Drop Mass (LDM) formulas to describe nuclear masses for nuclei in various deformation regions. Separating the 2149 measured nuclear species in eight sets with similar quadrupole…

Nuclear Theory · Physics 2015-05-30 Cesar Barbero , Jorge G. Hirsch , Alejandro Mariano