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The shape transitions and shape coexistence in the Ge and Se isotopes are studied within the interacting boson model (IBM) with the microscopic input from the self-consistent mean-field calculation based on the Gogny-D1M energy density…

Nuclear Theory · Physics 2017-06-15 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

Background: The Po, Pb, Hg, and Pt region is known for the presence of coexisting structures that correspond to different particle-hole configurations in the Shell Model language or equivalently to nuclear shapes with different deformation.…

Nuclear Theory · Physics 2015-06-18 J. E. Garcia-Ramos , K. Heyde

The connections between the $E(5)-$models (the original E(5) using an infinite square well, $E(5)-\beta^4$, $E(5)-\beta^6$ and $E(5)-\beta^8$), based on particular solutions of the geometrical Bohr Hamiltonian with $\gamma$-unstable…

Nuclear Theory · Physics 2008-11-26 J. E. Garcia-Ramos , J. M. Arias

This work introduces into the Interacting Boson Model, which was created in 1974 by F. Iachello and A. Arima and then extended by numerous papers. Many-body configurations with s- and d-boson states are described and creation- and…

Nuclear Theory · Physics 2007-05-23 Walter Pfeifer

A scheme of solving the proton-neutron interacting boson model (IBM-2) in terms of the SU(3) basis is introduced, by which the IBM-2 coupled with an octupole boson is applied to describe the low-energy structure of the critical point…

Nuclear Theory · Physics 2023-02-22 Bao-Yue Hu , Yu Zhang , Gui-Xiu Na , Sheng-Nan Wang , Wei Teng

Background: The lead region, Po, Pb, Hg, and Pt, shows up the presence of coexisting structures having different deformation and corresponding to different particle-hole configurations in the Shell Model language. Purpose: We intend to…

Nuclear Theory · Physics 2015-10-28 J. E. Garcia-Ramos , K. Heyde

The low-energy nuclear structure and two-neutrino double-$\beta$ ($2\nu\beta\beta$) decay are studied within the interacting boson model (IBM) that is based on the nuclear energy density functional (EDF). The IBM Hamiltonian describing the…

Nuclear Theory · Physics 2024-08-16 Kosuke Nomura

Two-neutron transfer reactions are studied within the interacting boson model based on the nuclear energy density functional theory. Constrained self-consistent mean-field calculations with the Skyrme energy density functional are performed…

Nuclear Theory · Physics 2019-03-11 K. Nomura , Y. Zhang

Spectroscopic properties of odd-mass nuclei are studied within the framework of the interacting boson-fermion model (IBFM) with parameters based on the Hartree-Fock-Bogoliubov (HFB) approximation. The parametrization D1M of the Gogny energy…

Nuclear Theory · Physics 2017-07-25 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

We analyze parameter sensitivities of the mapped interacting boson model (IBM) and boson-fermion-fermion model (IBFFM) in the description of $\beta$-decay properties of the even-mass neutron-deficient Ge and As, and neutron-rich Zr and Mo…

Nuclear Theory · Physics 2025-04-14 M. Homma , K. Nomura

Structural evolution in neutron-rich Os and W isotopes is investigated in terms of the Interacting Boson Model (IBM) Hamiltonian determined by (constrained) Hartree-Fock-Bogoliubov (HFB) calculations with the Gogny-D1S Energy Density…

We introduce a simple two-level boson model with the same energy surface as the Q-consistent Interacting Boson Model Hamiltonian. The model can be diagonalized for large number of bosons and the results used to check analytical finite-size…

Nuclear Theory · Physics 2007-05-23 J. Vidal , J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos

The interacting boson model is extended to describe the spectroscopy of superdeformed bands. Microscopic structure of the model in the second minimum is discussed and superdeformed bosons are introduced as the new building blocks. Solutions…

Nuclear Theory · Physics 2009-09-25 S. Kuyucak , M. Honma , T. Otsuka

Nuclear binding energies and two-neutron separation energies are analyzed starting from the liquid-drop model and the nuclear shell model in order to describe the global trends of the above observables. We subsequently concentrate on the…

Nuclear Theory · Physics 2009-11-07 R. Fossion , C. De Coster , J. E. Garcia-Ramos , T. Werner , K. Heyde

We exploit the rich algebraic structure of the interacting boson model to explain the notion of partial dynamical symmetry (PDS), and present a procedure for constructing Hamiltonians with this property. We demonstrate the relevance of PDS…

Nuclear Theory · Physics 2013-04-16 A. Leviatan

An interacting-boson-model-1 (IBM-1) Hamiltonian, derived from self-consistent mean-field calculations using a Skyrme energy density functional is employed for the study of energy spectra and $B(E2)$ transition strengths in the even-even…

Nuclear Theory · Physics 2024-07-11 Polytimos Vasileiou , Dennis Bonatsos , Theo J. Mertzimekis

Exact numerical results of the interacting boson model Hamiltonian along the integrable line from U(5) to O(6) are obtained by diagonalization within boson seniority subspaces. The matrix Hamiltonian reduces to a block tridiagonal form…

Nuclear Theory · Physics 2009-11-11 J. E. Garcia-Ramos , J. Dukelsky , J. M. Arias

A new dynamical symmetry limit of the two-fluid Interacting Vector Boson Model (IVBM), defined through the chain $Sp(12,R) \supset U(3,3) \supset U^{\ast}(3) \otimes SU(1,1) \supset SU^{\ast}(3) \supset SO(3)$, is introduced. The…

Nuclear Theory · Physics 2011-11-24 H. G. Ganev

We derive a boson Hamiltonian from a Nuclear Hamiltonian whose potential is expanded in pairing multipoles and determine the fermion-boson mapping of operators. We use a new method of bosonization based on the evaluation of the partition…

Nuclear Theory · Physics 2007-05-23 Fabrizio Palumb

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…

Nuclear Theory · Physics 2011-08-04 K. Nomura , T. Niksic , T. Otsuka , N. Shimizu , D. Vretenar