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A method of deriving the Hamiltonian of the interacting boson model, that is based on the microscopic framework of the nuclear energy density functional, is presented. The constrained self-consistent mean-field calculation with a given…

Nuclear Theory · Physics 2019-12-18 Kosuke Nomura

The evolution and coexistence of the nuclear shapes as well as the corresponding low-lying collective states and electromagnetic transition rates are investigated along the Krypton isotopic chain within the framework of the interacting…

Nuclear Theory · Physics 2017-09-13 K. Nomura , R. Rodríguez-Guzmán , Y. M. Humadi , L. M. Robledo , H. Abusara

Dipole bosons are introduced in the interacting boson model (IBM) by means of the self-consistent mean-field method. The constrained mean-field calculations employing a given nuclear energy density functional yield the potential energy…

Nuclear Theory · Physics 2025-10-21 K. Nomura

Even--even nuclei in the $A\sim100$ mass region are investigated within the framework of the interacting boson model-1 ({IBM-1}). The study includes energy spectra and electric quadrupole transition properties of zirconium, molybdenum,…

Nuclear Theory · Physics 2012-01-27 M. Böyükata , P. Van Isacker , I. Uluer

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

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

Spectroscopic calculations are carried out, for the description of the shape/phase transition in Pt nuclei in terms of the Interacting Boson Model (IBM) Hamiltonian derived from (constrained) Hartree-Fock-Bogoliubov (HFB) calculations with…

Nuclear Theory · Physics 2011-03-02 K. Nomura , T. Otsuka , R. Rodriguez-Guzman , L. M. Robledo , P. Sarriguren

We propose a novel formulation of the Interacting Boson Model (IBM) for rotational nuclei with axially-symmetric strong deformation. The intrinsic structure represented by the potential energy surface (PES) of a given multi-nucleon system…

Nuclear Theory · Physics 2011-07-19 Kosuke Nomura , Takaharu Otsuka , Noritaka Shimizu , Lu Guo

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

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

We propose a method to incorporate the coupling between shape and pairing collective degrees of freedom in the framework of the interacting boson model (IBM), based on the nuclear density functional theory. To account for pairing…

Nuclear Theory · Physics 2020-11-18 K. Nomura , D. Vretenar , Z. P. Li , J. Xiang

We discuss the symmetry of the parameter space of the interacting boson model (IBM). It is shown that for any set of the IBM Hamiltonian parameters (with the only exception of the U(5) dynamical symmetry limit) one can always find another…

Nuclear Theory · Physics 2016-08-15 Andrey M. Shirokov , N. A. Smirnova , Yu. F. Smirnov

The connections between the X(5)-models (the original X(5) using an infinite square well, X(5)-$\beta^8$, X(5)-$\beta^6$, X(5)-$\beta^4$, and X(5)-$\beta^2$), based on particular solutions of the geometrical Bohr Hamiltonian with harmonic…

Nuclear Theory · Physics 2014-11-21 J. Barea , J. M. Arias , J. E. García-Ramos

A systematic analysis of low-lying quadrupole and octupole collective states is presented, based on the microscopic energy density functional framework. By mapping the deformation constrained self-consistent axially symmetric mean-field…

Nuclear Theory · Physics 2014-02-26 K. Nomura , D. Vretenar , T. Niksic , Bing-Nan Lu

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

In this paper, we have studied the energy spectra and B(E2) transition probabilities of 124-130Ba isotopes in the shape phase transition region between the spherical and gamma unstable deformed shapes. We have used a transitional…

Nuclear Theory · Physics 2016-11-23 H. Sabri , M. Seidi

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 2009-02-26 J. E. Garcia-Ramos , J. M Arias

Spectrum generating algebras are used in various fields of physics as models to determine quantum structure, including energy levels and transition strengths. The advantage of such models is that their group structure allows an extensive…

Nuclear Theory · Physics 2009-10-28 N. D. Whelan

Background: The interacting boson model (IBM) has been used extensively to calculate the matrix elements governing neutrinoless double-beta decay. Studies within other models indicate that a good description of neutron-proton pairing is…

Nuclear Theory · Physics 2017-12-13 P. Van Isacker , J. Engel , K. Nomura

A systematic study of energy spectra throughout the rare-earth region (even-even nuclei from $_{58}$Ce to $_{74}$W) is carried out in the framework of the interacting boson model (IBM), leading to an accurate description of the…

Nuclear Theory · Physics 2012-04-06 S. Zerguine , P. Van Isacker , A. Bouldjedri
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