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Advances in laser spectroscopy of superheavy ($Z>100$) elements enabled determination of the nuclear moments of the heaviest nuclei, which requires high-precision atomic calculations of the relevant hyperfine structure (HFS) constants.…

Atomic Physics · Physics 2018-12-05 S. G. Porsev , M. S. Safronova , U. I. Safronova , V. A. Dzuba , V. V. Flambaum

We describe the new version 4.0 of the code hfbtho that solves the nuclear Hartree-Fock-Bogoliubov problem by using the deformed harmonic oscillator basis in cylindrical coordinates. In the new version, we have implemented the restoration…

Nuclear Theory · Physics 2022-05-10 P. Marevic , N. Schunck , E. M. Ney , R. Navarro Pérez , M. Verriere , J. O'Neal

We present some new results on heavy-element nuclear-structure properties calculated on the basis of the finite-range droplet model and folded-Yukawa single-particle potential. Specifically, we discuss calculations of nuclear ground-state…

Nuclear Theory · Physics 2007-05-23 Peter Möller , J. Rayford Nix

The present status of the mapped interacting boson model studies on nuclear structure is reviewed. With the assumption that the nuclear surface deformation induced by the multi-nucleon dynamics is simulated by bosonic degrees of freedom,…

Nuclear Theory · Physics 2025-06-19 Kosuke Nomura

We describe the program HFBTHO for axially deformed configurational Hartree-Fock-Bogoliubov calculations with Skyrme-forces and zero-range pairing interaction using Harmonic-Oscillator and/or Transformed Harmonic-Oscillator states. The…

Nuclear Theory · Physics 2009-11-10 M. V. Stoitsov , J. Dobaczewski , W. Nazarewicz , P. Ring

Nuclear structure properties and weak interaction rates of neutron rich even even iron (Fe) isotopes (A = 50 70) are investigated using the Interacting Boson Model1 (IBM1) and the proton neutron Quasiparticle Random Phase Approximation…

Nuclear Theory · Physics 2024-10-28 Jameel-Un Nabi , Mahmut Boyukata , Asim Ullah , Muhammad Riaz

A microscopic and consistent description of both nuclear structure and reactions is instrumental to extend the predictivity of models calculating scattering observables. In particular, this is crucial in the case of exotic nuclei not yet…

Nuclear Theory · Physics 2022-11-28 Andrea Idini , Jimmy Rotureau , Johan Boström , Jimmy Ljungberg , B. Gillis Carlsson

We develop a perturbative model to treat the off-diagonal components in the Hartree-Fock-Bogoliubov (HFB) transformation matrix, which are neglected in the BCS approximation. Applying the perturbative model to a weakly bound nucleus…

Nuclear Theory · Physics 2009-11-10 K. Hagino , H. Sagawa

We have developed an efficient method for quantum number projection from most general HFB type mean-field states, where all the symmetries like axial symmetry, number conservation, parity and time-reversal invariance are broken. Applying…

Nuclear Theory · Physics 2013-01-16 S. Tagami , Y. R. Shimizu , J. Dudek

In a calculation of rotated matrix elements with angular momentum projection, the generalized Wick's theorem may encounter a practical problem of combinatorial complexity when the configurations have more than four quasi-particles (qps).…

Nuclear Theory · Physics 2015-06-22 Long-Jun Wang , Fang-Qi Chen , Takahiro Mizusaki , Makito Oi , Yang Sun

We analyze the nearest neighbor spacing distributions of low-lying 2+ levels of even-even nuclei. We grouped the nuclei into classes defined by the quadrupole deformation parameter (Beta2). We calculate the nearest neighbor spacing…

Nuclear Theory · Physics 2011-02-14 A. Al-Sayed

We investigate reliability of Gamow-Teller transition strengths computed in the proton-neutron random phase approximation, comparing with exact results from diagonalization in full $0\hbar\omega$ shell-model spaces. By allowing the…

Nuclear Theory · Physics 2007-05-23 Ionel Stetcu , Calvin W. Johnson

For even-even nuclei $^{180-184}$Yb, $^{182-186}$Hf and $^{184-188}$W located on an island of hexadecapole-deformation archipelago, the structure properties, especially under rotation, are reinvestigated by using the…

Nuclear Theory · Physics 2026-01-16 Ran Li , Hua-Lei Wang , Kui Xiao , Zhen-Zhen Zhang , Min-Liang Liu

The isotopic evolution of the ground-state nuclear shapes and the systematics of one-quasiproton configurations are studied in neutron-rich odd-A Yttrium and Niobium isotopes. We use a selfconsistent Hartree-Fock-Bogoliubov formalism based…

Nuclear Theory · Physics 2011-05-05 R. Rodriguez-Guzman , P. Sarriguren , L. M. Robledo

We present a very brief description of the Hartree-Fock method in nuclear structure physics, discuss the numerical methods used to solve the self-consistent equations, and analyze the precision and convergence properties of solutions. As an…

Nuclear Theory · Physics 2007-05-23 J. Dobaczewski

Various applications of quantum algebraic techniques in nuclear structure physics, such as the su$_q$(2) rotator model and its extensions, the use of deformed bosons in the description of pairing correlations, and the construction of…

q-alg · Mathematics 2008-02-03 Dennis Bonatsos , C. Daskaloyannis , P. Kolokotronis , D. Lenis

We have recently developed an efficient method of performing the full quantum number projection from the most general mean-field (HFB type) wave functions including the angular momentum, parity as well as the proton and neutron particle…

Nuclear Theory · Physics 2015-06-19 S. Tagami , M. Shimada , Y. Fujioka , Y. R. Shimizu , J. Dudek

Background: Solving nuclear many-body problems with an ab initio approach is widely recognized as a computationally challenging problem. Quantum computers offer a promising path to address this challenge. There are urgent needs to develop…

Nuclear Theory · Physics 2021-05-20 Weijie Du , James P. Vary , Xingbo Zhao , Wei Zuo

To study shape fluctuations of nuclei in transitional regions, the collective Hamiltonian method has often been employed. We intend to construct the quadrupole collective Hamiltonian with the collective inertial functions given by the local…

Nuclear Theory · Physics 2019-01-30 Kouhei Washiyama , Takashi Nakatsukasa