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The Dirac Equation is solved approximately for relativistic generalized Woods-Saxon potential including Coulomb-like tensor potential in exact pseudospin and spin symmetry limits. The bound states energy eigenvalues are found by using…

Nuclear Theory · Physics 2021-01-05 J. Akbar , A. Suparmi , C. Cari

The density functional theory of nuclear structure provides a many-particle wave function that is useful for static properties, but an extension of the theory is necessary to describe correlation effects or other dynamic properties. Here we…

Nuclear Theory · Physics 2009-11-11 Y. Alhassid , G. F. Bertsch , L. Fang , B. Sabbey

Shell corrections to the moment of inertia (MI) are calculated for a Woods-Saxon potential of spheroidal shape and at different deformations. This model potential is chosen to have a large depth and a small surface diffuseness which makes…

Nuclear Theory · Physics 2021-02-24 D. V. Gorpinchenko , A. G. Magner , J. Bartel

Even--even nuclei in the $A\sim100$ mass region are investigated within the framework of the interacting boson model-1 ({IBM-1}). The study includes energy spectra and electric quadrupole transition properties of zirconium, molybdenum,…

Nuclear Theory · Physics 2012-01-27 M. Böyükata , P. Van Isacker , I. Uluer

We construct a tridiagonal matrix representation for the three dimensions Dirac-Coulomb Hamiltonian that provides for a simple and straightforward relativistic extension of the complex scaling method. Besides the Coulomb interaction,…

Quantum Physics · Physics 2008-11-26 A. D. Alhaidari

The nuclear shell model is one of the successful models in theoretical understanding of nuclear structure. If a convenient effective interaction can be found between nucleons, various observables such as energies of nuclear states are…

Nuclear Theory · Physics 2020-01-24 Serkan Akkoyun , Nadjet Laouet , Fatima Benrachi

Using different parameterizations of the nuclear mass formula, we study the sensitivity of the isoscaling parameters to the mass formula employed in grand-canonical calculations. Previous works on isoscaling have suggested that the symmetry…

Nuclear Theory · Physics 2008-11-26 S. R. Souza , M. B. Tsang , R. Donangelo , W. G. Lynch , A. W. Steiner

Based on a momentum-space in-medium folding model, we disclose the universal separability of the optical potential, revealing its radial and nonlocality features at beam energies in the range 40 - 400 MeV and target mass numbers in the…

Nuclear Theory · Physics 2024-08-29 H. F. Arellano , G. Blanchon

Pseudo-spin symmetry in nuclei is investigated considering the Dirac equation with a Lorentz structured Woods-Saxon potential. The isospin correlation of the energy splittings of pseudo-spin partners with the nuclear potential parameters is…

Nuclear Theory · Physics 2009-11-06 P. Alberto , M. Fiolhais , M. Malheiro , A. Delfino , M. Chiapparini

We study the extrapolation of nuclear shell structure to the region of superheavy nuclei in self-consistent mean-field models -- the Skyrme-Hartree-Fock approach and the relativistic mean-field model -- using a large number of…

Nuclear Theory · Physics 2009-10-31 M. Bender , K. Rutz , P. -G. Reinhard , J. A. Maruhn , W. Greiner

Potential energy surfaces of nine even-even isotopes of Pt, Hg, and Pb around $^{186}$Pt are evaluated within a macroscopic-microscopic model based on the Lublin-Strasbourg-Drop macroscopic energy and the microscopic energy obtained using…

Nuclear Theory · Physics 2025-11-11 J. Bartel , H. Molique , B. Nerlo-Pomorska , M. Warda , K. Pomorski

The exact analytical solutions of the Schr\"odinger equation for the generalized symmetrical Woods-Saxon potential are examined for the scattering, bound and quasi-bound states in one dimension. The reflection and transmission coefficients…

Quantum Physics · Physics 2016-03-22 B. C. Lütfüoğlu , F. Akdeniz , O. Bayrak

Symmetry energy for asymmetric nuclear matter at subsaturation densitieswas investigated in the framework of an isospin-dependent quantum molecular dynamics model.Asingle ratio of neutrons and protons is comparedwith the experimental data…

Nuclear Theory · Physics 2011-11-18 Sanjeev Kumar , Y. G. Ma , G. Q. Zhang , C. L. Zhou

We have performed shell model calculations for neutron deficient even $^{102-108}$Sn and odd $^{103-107}$Sn isotopes in $sdg_{7/2}h_{11/2}$ model space using two different interactions. The first set of interaction is due to Brown {\it et…

Nuclear Theory · Physics 2012-05-15 T. Trivedi , P. C. Srivastava , D. Negi , I. Mehrotra

Smooth model potentials with parameters selected to reproduce the spectrum of one-electron atoms are used to approximate the singular Coulomb potential. Even when the potentials do not mimic the Coulomb singularity, much of the spectrum is…

Chemical Physics · Physics 2016-10-28 Cristina E. González-Espinoza , Paul. W Ayers , Jacek Karwowski , Andreas Savin

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

We review the latest variational calculations of the ground state properties of doubly closed shell nuclei, from $^{12}$C to $^{208}$Pb, with semirealistic and realistic two- and three-nucleon interactions. The studies are carried on within…

Nuclear Theory · Physics 2011-04-15 A. Fabrocini , F. Arias de Saavedra , G. P. Co'

Based on the realistic nuclear force of the high-precision CD-Bonn potential, we have performed comprehensive calculations for neutron-rich calcium isotopes using the Gamow shell model (GSM) which includes resonance and continuum. The…

Nuclear Theory · Physics 2021-01-12 J. G. Li , B. S. Hu , Q. Wu , Y. Gao , S. J. Dai , F. R. Xu

We introduce a mean field model based on realistic 2-body baryon interactions and calculate spectra of a set of p-shell and sd-shell {\Lambda} hypernuclei - 13{\Lambda}C, 17{\Lambda}O, 21{\Lambda}Ne, 29{\Lambda}Si and 41{\Lambda}Ca. The…

Nuclear Theory · Physics 2016-08-24 P. Veselý , E. Hiyama , J. Hrtánková , J. Mareš

Extrapolations of soft scalar mass parameters in supersymmetric theories can be used to explore elements of the physics scenario near the grand unification scale. We investigate the potential of this method in the lepton sector of SO(10)…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Deppisch , A. Freitas , W. Porod , P. M. Zerwas