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The Woods-Saxon basis has achieved great success in both nonrelativistic and covariant density functional theories in recent years. Due to its nonanalytical nature, however, applications of the Woods-Saxon basis are numerically complicated…

Nuclear Theory · Physics 2022-08-09 K. Y. Zhang , C. Pan , S. Q. Zhang

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

Masses of superheavy (SH) nuclei with $Z=98-128$, including odd and odd-odd nuclei, are systematically calculated within the microscopic-macroscopic model based on the deformed Woods-Saxon potential. Ground states are found by minimizing…

Nuclear Theory · Physics 2015-06-18 P. Jachimowicz , M. Kowal , J. Skalski

In this study, for the first time, in particular to astrophysics and fusion studies, how atomic nuclei embedded in the plasma environment are affected by plasma are systematically analysed. The related interactions in plasma environments…

Nuclear Theory · Physics 2022-02-07 Serkan Akkoyun , M. Kemal Bahar

The trace formula for the density of single-particle levels in the two-dimensional radial power-law potentials, which nicely approximate the radial dependence of the Woods-Saxon potential and quantum spectra in a bound region, was derived…

Exactly Solvable and Integrable Systems · Physics 2015-06-15 A. G. Magner , A. A. Vlasenko , K. Arita

We apply recently developed effective field theory nuclear models in mean field approximation (parameter sets G1 and G2) to describe ground-state properties of nuclei from the valley of $\beta$-stability up to the drip lines. For faster…

Nuclear Theory · Physics 2010-12-23 M. Del Estal , M. Centelles , X. Viñas , S. K. Patra

Properties of spin polarized isospin asymmetric nuclear matter are studied within the framework of the Brueckner--Hartree--Fock formalism. The single-particle potentials of neutrons and protons with spin up and down are determined for…

Nuclear Theory · Physics 2009-11-07 I. Vidana , I. Bombaci

We consider one-dimensional regularizations of the Coulomb potential formed by taking a two-dimensional expectation of the Coulomb potential with respect to the Landau states. It is well-known that such functions arises naturally in the…

Mathematical Physics · Physics 2007-05-23 Raymond Brummelhuis , Mary Beth Ruskai , Elisabeth Werner

Using the Hugenholtz-Van Hove theorem, we derive general expressions for the quadratic and quartic symmetry energies in terms of single-nucleon potentials in isospin asymmetric nuclear matter. These analytical relations are useful for…

Nuclear Theory · Physics 2015-05-18 Chang Xu , Bao-An Li , Lie-Wen Chen , Che Ming Ko

By the use of the latest experimental data on the spectra of $^{133}$Sb and $^{131}$Sn and on the analysis of properties of other odd nuclei adjacent to doubly magic closed shells the isospin dependence of a mean spin-orbit potential is…

Nuclear Theory · Physics 2015-06-26 V. I. Isakov , K. I. Erokhina , H. Mach , M. Sanchez-Vega , B. Fogelberg

We perform a systematic study on the surface property of nucleus-nucleus potential in heavy-ion reactions using large-angle quasielastic scattering at energies well below the Coulomb barrier. At these energies, the quasielastic scattering…

Nuclear Theory · Physics 2009-11-11 K. Washiyama , K. Hagino , M. Dasgupta

Properties of nuclear matter are investigated in the framework of relativistic Brueckner-Hartree-Fock model with the latest high-precision charge-dependent Bonn (pvCD-Bonn) potentials, where the coupling between pion and nucleon is adopted…

Nuclear Theory · Physics 2020-10-28 Chencan Wang , Jinniu Hu , Ying Zhang , Hong Shen

Background: One important ingredient for many applications of nuclear physics to astrophysics, nuclear energy, and stockpile stewardship are cross sections for reactions of neutrons with rare isotopes. Since direct measurements are often…

The shell model in the complex k-plane (the so-called Gamow Shell Model) has recently been formulated and applied to structure of weakly bound, neutron-rich nuclei. The completeness relations of Newton and Berggren, which apply to the…

Nuclear Theory · Physics 2009-11-10 N. Michel , W. Nazarewicz , M. Ploszajczak

Single particle energy states as described by nuclear shell model are obtained for doubly magic nuclei using Gnumeric worksheet environment. Numerov method rephrased in matrix form is utilised to solve time-independent Schrodinger equation…

Nuclear Theory · Physics 2022-05-23 Shikha Awasthi , Aditi Sharma , Swapna Gora , O. S. K. S. Sastri

We analyze the observed shell gaps in N=Z nuclei determined from the binding energy differences. It is found that the shell gaps can be described by the combined contributions from the single-particle level spacing, the like-nucleon…

Nuclear Theory · Physics 2009-03-04 Kazunari Kaneko , Jing-ye Zhang , Yang Sun

We derive a simple Woods-Saxon type form for the potentials between $Y=\Xi, \Omega$ and $\alpha$ by using a single-folding potential method, based on a separable $Y$-nucleon potential. Accordingly, the potentials $\Xi+\alpha$ and…

Nuclear Theory · Physics 2020-06-24 Faisal Etminan , Mohammad Mehdi Firoozabadi

We discuss shell-model calculations based on the use of low-momentum interactions derived from the free-space nucleon-nucleon potential. A main feature of this approach is the construction of a smooth potential, V-low-k, defined within a…

Nuclear Theory · Physics 2010-12-17 A. Gargano , L. Coraggio , A. Covello , N. Itaco

We make use of isospin constraints to study the parametric coupling model and the properties of asymmetric nuclear matter. Besides the usual constraints for nuclear matter - effective nucleon mass and the incompressibility at saturation…

Nuclear anapole moments of $\;^{133}$Cs, $\;^{203,205}$Tl, $\;^{207}$Pb, $\;^{209}$Bi are treated in the single-particle approximation. Analytical results are obtained for the oscillator potential without spin-orbit interaction. Then the…

Nuclear Theory · Physics 2009-10-28 V. F. Dmitriev , I. B. Khriplovich , V. B. Telitsin