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The article reviews the general version of the Bohr collective model for the description of quadrupole collective states, including a detailed study the model's kinematics. The general form of the classical and quantum Bohr Hamiltonian is…

核理论 · 物理学 2010-02-25 L. Prochniak , S. G. Rohozinski

Evolution and coexistence of shape and the related spectroscopic properties of even-even Te isotopes are investigated within the quadrupole collective model that is based on the nuclear density functional theory. By means of the constrained…

核理论 · 物理学 2024-12-06 K. Suzuki , K. Nomura

Microscopic energy density functionals (EDF) have become a standard tool for nuclear structure calculations, providing an accurate global description of nuclear ground states and collective excitations. For spectroscopic applications this…

核理论 · 物理学 2011-08-04 K. Nomura , T. Niksic , T. Otsuka , N. Shimizu , D. Vretenar

The oblate-prolate shape coexisting/mixing phenomena in proton-rich 68,70,72Se are investigated by means of the adiabatic self-consistent collective coordinate (ASCC) method. The one-dimensional collective path and the collective…

核理论 · 物理学 2009-07-13 Nobuo Hinohara , Takashi Nakatsukasa , Masayuki Matsuo , Kenichi Matsuyanagi

In the present study we generalize the self-consistent Hartree-Fock-Bogoliubov (HFB) theory formulated in the coordinate space to the case which incorporates an arbitrary mixing between protons and neutrons in the particle-hole (p-h) and…

核理论 · 物理学 2009-11-10 E. Perlinska , S. G. Rohozinski , J. Dobaczewski , W. Nazarewicz

We solve the Hartree-Fock-Bogoliubov (HFB) equations for a spherical mean field and a pairing potential with the inverse Hamiltonian method, which we have developed for the solution of the Dirac equation. This method is based on the…

核理论 · 物理学 2015-06-15 Y. Tanimura , K. Hagino , P. Ring

Calculations to reconstruct rotational level patterns in the $^{220}$Rn and $^{226}$Ra nuclei have been performed using a collective quadrupole+octupole approach with microscopic mass tensor and moments of inertia dependent on deformation…

核理论 · 物理学 2025-07-02 Artur Dobrowolski , Katarzyna Mazurek , Krzysztof Pomorski

We describe the new version 3.00 of the code HFBTHO that solves the nuclear Hartree-Fock (HF) or Hartree-Fock-Bogolyubov (HFB) problem by using the cylindrical transformed deformed harmonic oscillator basis. In the new version, we have…

核理论 · 物理学 2018-02-06 R. Navarro Perez , N. Schunck , R. -D. Lasseri , C. Zhang , J. Sarich

To discuss a possible observation of large-amplitude nuclear shape mixing by nuclear reaction, we employ a simple collective model and evaluate transition densities, with which the differential cross sections are obtained through the…

核理论 · 物理学 2019-04-17 Koichi Sato , Takenori Furumoto , Yuma Kikuchi , Kazuyuki Ogata , Yukinori Sakuragi

Recent microscopic studies, based on the theoretical framework of nuclear energy density functionals, have analyzed dynamic (least action) and static (minimum energy) fission paths, and it has been shown that in addition to the important…

核理论 · 物理学 2015-11-19 Jie Zhao , Bing-Nan Lu , Tamara Niksic , Dario Vretenar

Symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations are derived using the variational ansatz for the generalized one-body density-matrix in the Valatin form. It is shown that the projected-energy functional can be completely…

核理论 · 物理学 2009-10-31 Javid A. Sheikh , Peter Ring

Eigenfunctions of the collective Bohr Hamiltonian with the Morse potential have been obtained by using the Asymptotic Iteration Method (AIM) for both gamma-unstable and rotational structures. B(E2) transition rates have been calculated and…

核理论 · 物理学 2015-05-30 I. Inci , D. Bonatsos , I. Boztosun

An iterative method we previously proposed to compute nuclear strength functions is developed to allow it to accurately calculate properties of individual nuclear states. The approach is based on the quasi-particle-random-phase…

核理论 · 物理学 2015-06-04 B. G. Carlsson , J. Toivanen , A. Pastore

In this work, we solve the eigenvalues problem with the Bohr collective Hamiltonian for triaxial nuclei within Deformation-Dependent Mass formalism (DDM) using the Hulth\'en potential. We shall call the solution developed here Z(5)-HDDM.…

核理论 · 物理学 2020-01-29 A. Adahchour , S. Ait El Korchi , A. El Batoul , A. Lahbass , M. Oulne

Fully consistent axially-symmetric-deformed Quasi-particle Random Phase Approximation (QRPA) calculations have been performed, in which the same Gogny D1S effective force has been used for both the Hartree-Fock-Bogolyubov mean field and the…

核理论 · 物理学 2008-11-26 S. Peru , H. Goutte

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…

核理论 · 物理学 2026-01-16 Ran Li , Hua-Lei Wang , Kui Xiao , Zhen-Zhen Zhang , Min-Liang Liu

Hartree-Fock-Bogolyubov (HFB) calculations making use of a recently proposed microscopic effective pairing interaction are presented. The interaction was shown to reproduce the pairing properties provided by the realistic $AV18$ force very…

核理论 · 物理学 2009-11-10 T. Duguet , P. Bonche

We determine the asymptotic quantum variance of microlocal lifts of Hecke--Maass cusp forms on the arithmetic compact hyperbolic surfaces attached to maximal orders in quaternion algebras. Our result extends those of Luo--Sarnak--Zhao…

数论 · 数学 2025-10-22 Paul D. Nelson

Spontaneous fission barriers, quadrupole inertia, and zero-point quadrupole-energy corrections are calculated for 252,256,258Fm in the framework of the self-consistent Skyrme-Hartree-Fock+BCS theory. Two ways of computing dynamical inertia…

核理论 · 物理学 2009-11-11 A. Baran , A. Staszczak , J. Dobaczewski , W. Nazarewicz

The ground-state magnetic phase diagram is calculated within the Hubbard and $s$-$d$ exchange (Kondo) models for square and simple cubic lattices vs. band filling and interaction parameter. The difference of the results owing to the…

强关联电子 · 物理学 2017-07-11 P. A. Igoshev , M. A. Timirgazin , A. K. Arzhnikov , T. V. Antipin , V. Yu. Irkhin