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The phenomenological classification of collective quadrupole excitations by means of the Bohr Hamiltonian is reviewed with focus on signatures for triaxility. The variants of the microscopic Bohr Hamiltonian derived by means of the…

Nuclear Theory · Physics 2015-10-28 S. Frauendorf

We study a class of interacting, harmonically trapped boson systems at angular momentum L. The Hamiltonian leaves a L-dimensional subspace invariant, and this permits an explicit solution of several eigenstates and energies for a wide class…

Condensed Matter · Physics 2009-10-31 Thomas Papenbrock , George F. Bertsch

In the context of the sf-IBM, the interacting boson model with s and f bosons, the conditions are derived for a rotationally invariant and parity-conserving Hamiltonian with up to two-body interactions to have a minimum with tetrahedral…

Nuclear Theory · Physics 2020-10-28 Piet Van Isacker , Abdelhamid Bouldjedri , Salima Zerguine

We study symmetries of open bosonic systems in the presence of laser pumping. Non-Hermitian Hamiltonians describing these systems can be parity-time (${\cal{PT}}$) symmetric in special cases only. Systems exhibiting this symmetry are…

Quantum Physics · Physics 2020-11-23 Ewelina Lange , Grzegorz Chimczak , Anna Kowalewska-Kudłaszyk , Karol Bartkiewicz

The neutrinoless $\beta\beta$ ($0\nu\beta\beta$) decay nuclear matrix elements (NMEs) are calculated in the interacting boson model (IBM), which is based on the nuclear energy density functional (EDF) theory. The Hamiltonian of the IBM that…

Nuclear Theory · Physics 2025-11-19 Kosuke Nomura

The Hamiltonian for a small number, N <= 11, of bosons in a rapidly rotating harmonic trap, interacting via a short range (contact potential) or a long range (Coulomb) interaction, is studied via an exact diagonalization in the lowest…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Leslie O. Baksmaty , Constantine Yannouleas , Uzi Landman

The notion of interacting elementary particles for low and medium energy nuclear physics is associated with definitions of potential operators. In principle, this potential carries the rich substructure consisting of quarks and gluons and…

Nuclear Theory · Physics 2009-10-30 L. Jaede , M. Sander , H. V. von Geramb

Adiabatic nucleon-nucleon potentials are calculated in a six-quark nonrelativistic chiral constituent quark model where the Hamiltonian contains a linear confinement and a pseudoscalar meson (Goldstone boson) exchange interaction between…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Bartz , Fl. Stancu

The interacting boson model with configuration mixing, with parameters derived from the self-consistent mean-field calculation employing the microscopic Gogny energy density functional, is applied to the systematic analysis of the low-lying…

Nuclear Theory · Physics 2014-02-04 K. Nomura , R. Rodriguez-Guzman , L. M. Robledo

Recent theoretical developments in using the Interacting Boson Model to describe nuclear structure effects in fusion reactions below the Coulomb barrier are reviewed. Methods dealing with linear and all orders coupling between the nuclear…

Nuclear Theory · Physics 2008-11-26 A. B. Balantekin , S. Kuyucak

As a new scheme of treating the tensor interaction of the nucleon-nucleon interaction, there is a proposal of a tensor-optimized shell-model (TOSM) for the study of medium and heavy nuclei. The TOSM includes the deuteron-like tensor…

Nuclear Theory · Physics 2012-07-03 Kaori Horii , Hiroshi Toki , Takayuki Myo , Kiyomi Ikeda

We develop a variational method for interacting surface systems with higher-form global symmetries. As a natural extension of the conventional second-quantized Hamiltonian of interacting bosons, we explicitly construct a second-quantized…

Statistical Mechanics · Physics 2026-02-10 Kiyoharu Kawana

A six-dimensional Davidson potential, introduced within the framework of the Interacting Vector Boson Model (IVBM), is used to describe nuclei that exhibit transitional spectra between the purely rotational and vibrational limits of the…

Nuclear Theory · Physics 2009-11-11 H. G. Ganev , A. I. Georgieva , J. P. Draayer

Performing a shell model calculation for heavy nuclei has been a long-standing problem in nuclear physics. Here we propose one possible solution. The central idea of this proposal is to take the advantages of two existing models, the…

Nuclear Theory · Physics 2009-11-10 Yang Sun , Cheng-Li Wu

We use self-consistent mean-field methods in combination with the interacting boson model (IBM) of nuclei, to establish a linkage between universal energy density functionals (EDFs) and partial dynamical symmetry (PDS). An application to…

Nuclear Theory · Physics 2022-02-15 A. Leviatan , N. Gavrielov , K. Nomura

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

Double-$\gamma$ vibrations in deformed nuclei are analyzed in the context of the interacting boson model. A simple extension of the original version of the model towards higher-order interactions is required to explain the observed…

Nuclear Theory · Physics 2009-11-06 J. E. Garcia-Ramos , J. M Arias , P. Van Isacker

We present a method to calculate spectroscopic properties of odd-odd nuclei within the framework of the Interacting Boson-Fermion-Fermion Model based on the Gogny energy density functional. The $(\beta,\gamma)$-deformation energy surface of…

Nuclear Theory · Physics 2019-03-13 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

Analytical expressions for spectra and wave functions are derived for a Bohr Hamiltonian, describing the collective motion of deformed nuclei, in which the mass is allowed to depend on the nuclear deformation. Solutions are obtained for…

Nuclear Theory · Physics 2011-05-13 Dennis Bonatsos , P. E. Georgoudis , D. Lenis , N. Minkov , C. Quesne

Within the framework of the interacting boson model, we propose a novel algebraic scheme to describe spin-dependent structural evolutions in triaxial nuclei. Our analysis demonstrates that a triaxially to axially rotational shape phase…

Nuclear Theory · Physics 2025-08-22 Yu Zhang , Yu Xin Liu , Feng Pan , J. P. Draayer
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