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A systematic study of the ground-state properties of even-even rare earth nuclei has been performed in the framework of the Relativistic Mean-Field (RMF) theory using the parameter set NL-SH. Nuclear radii, isotope shifts and deformation…

Nuclear Theory · Physics 2009-10-28 G. A. Lalazissis , M. M. Sharma , P. Ring

Ground state properties of carbon isotopes, including root-mean-square radii, neutron separation energies, single particle spectra, and shapes are systematically studied with the deformed relativistic Hartree-Bogoliubov theory in continuum.…

Nuclear Theory · Physics 2021-10-15 Xiang-Xiang Sun , Jie Zhao , Shan-Gui Zhou

The variational principle is used to build a model which describes open shell nuclei with ground state deformations. Hartree-Fock equations are solved by using single particle wave functions whose radial parts depend on the projection of…

Nuclear Theory · Physics 2021-07-22 G. Co , M. Anguiano , A. M. Lallena

An extensive study of $\alpha$-decay half-lives for various decay chains of isotopes of $Z$ = 120 is performed within the axially deformed relativistic mean-field (RMF) formalism by employing the NL3, NL3$^*$, and DD-ME2 parameter set. The…

Nuclear Theory · Physics 2021-08-30 N. Biswal , Nishu Jain , Raj Kumar , A. S. Pradeep , M. Bhuyan

The ground-state properties of 64Ge, 68Se, 72Kr and 76Sr (N=Z) nuclei have been investigated by using Hartree-Fock-Bogolibov (HFB)method with Sly4 Skyrme forces and Relativistic Mean Field (RMF) model with NL3 and recently proposed DEFNE…

Nuclear Theory · Physics 2017-06-06 Serkan Akkoyun , Tuncay Bayram , Şevki Şentürk

We examine the effect of nuclear deformation on the calculated $\beta$-decay half-lives of 55 neutron-rich nuclei. The deformation values were computed using DD-PC1 and DD-ME2 interactions in the Relativistic Hartree-Bogoliubov model. Yet…

Nuclear Theory · Physics 2024-07-29 Jameel-Un Nabi , Tuncay Bayram , Wajeeha Khalid , Arslan Mehmood , Alper Köseoğlu

A new Skyrme-like energy density suitable for studies of strongly elongated nuclei has been determined in the framework of the Hartree-Fock-Bogoliubov theory using the recently developed model-based, derivative-free optimization algorithm…

Nuclear deformations and density profiles of neutron-rich even-even Zr isotopes are investigated using the Skyrme-Hartree-Fock-Bogoliubov method. Large quadrupole and hexadecapole deformations are predicted along with large enhancement of…

Nuclear Theory · Physics 2023-05-10 W. Horiuchi , T. Inakura , S. Michimasa , M. Tanaka

The aim of this work is to develop the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) theory based on the point-coupling density functionals and extend it to provide a unified description for all even-even nuclei in…

Nuclear shape and orientation degrees of freedom are incorporated into the calculation of the double-folding nuclear potential within the relativistic mean-field (RMF) formalism. The quadrupole deformations ($\beta_2$), nuclear densities…

Nuclear Theory · Physics 2024-08-30 Shilpa Rana , M. Bhuyan , Raj Kumar , B. V. Carlson

The even-even superheavy nuclei with $104 \leqslant Z \leqslant 126$ and $N\leqslant 258$ have been investigated using a microscopic five-dimensional collective Hamiltonian (5DCH) based on constrained triaxial relativistic…

Nuclear Theory · Physics 2026-03-12 X. Q. Yang , R. Y. Hu , R. N. Mao , J. Xiang , Z. P. Li

The coupled-channel theory is a natural way of treating nonelastic channels, in particular those arising from collective excitations, defined by nuclear deformations. Proper treatment of such excitations is often essential to the accurate…

Nuclear Theory · Physics 2015-03-13 G. P. A. Nobre , F. S. Dietrich , M. Herman , A. Palumbo , S. Hoblit , D. Brown

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

Mass number dependence of the nuclear radii is closely related to the nuclear matter properties. It is known that the most of nuclei exhibit some deformation. We discuss how the nuclear density profile is modified by the nuclear deformation…

Nuclear Theory · Physics 2021-06-28 Wataru Horiuchi , Tsunenori Inakura

We analyze the octupole deformations and the related collective excitations in medium-heavy and heavy nuclei based on the microscopic framework of the nuclear energy density functional theory. Constrained self-consistent mean-field…

Nuclear Theory · Physics 2021-02-03 Kosuke Nomura

The ground state and first intrinsic excited state of superheavy nuclei with Z=120 and N=160-204 are investigated using both non-relativistic Skyrme-Hartree-Fock and the axially deformed Relativistic Mean Field formalisms. We employ a…

Nuclear Theory · Physics 2012-10-04 Shakeb Ahamad , M. Bhuyan , S. K. Patra

Halo phenomenon in deformed nuclei is studied by using a fully self-consistent deformed relativistic Hartree-Bogoliubov model in a spherical Woods-Saxon basis with the proper asymptotic behavior at large distance from the nuclear center.…

Nuclear Theory · Physics 2015-03-17 Shan-Gui Zhou , Jie Meng , P. Ring , En-Guang Zhao

Nuclear deformation effects are theoretically investigated in terms of deformation corrections of the electronic binding and transition energies, $g$ factor, and hyperfine splitting constant. By solving the Dirac equation twice, with the…

Atomic Physics · Physics 2023-09-15 Zewen Sun , Igor A. Valuev , Natalia S. Oreshkina

We investigate the possibility of describing triaxial quadrupole deformations for nuclei close to the two-neutron drip line by the Hartree-Fock Bogoliubov method taking into account resonances in the continuum. We use a Skyrme interaction…

Nuclear Theory · Physics 2009-10-28 J. Terasaki , P. -H. Heenen , H. Flocard , P. Bonche

The cranked relativistic Hartree+Bogoliubov theory has been applied for a systematic study of the nuclei around 254No, the heaviest elements for which detailed spectroscopic data are available. The deformation, rotational response, pairing…

Nuclear Theory · Physics 2009-11-10 A. V. Afanasjev , T. L. Khoo , S. Frauendorf , G. A. Lalazissis , I. Ahmad