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Mixing and coexistence of intrinsic nuclear shapes play an important role to determine the low-energy structure of heavy nuclei, and are expected to affect nuclear matrix elements (NMEs) of neutrinoless double beta ($0\nu\beta\beta$) decay.…

Nuclear Theory · Physics 2025-11-11 Kosuke Nomura

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

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

The quadrupole-octupole coupling and the related spectroscopic properties have been studied for the even-even light actinides $^{218-238}$Ra and $^{220-240}$Th. The Hartree-Fock-Bogoliubov approximation, based on the Gogny-D1M energy…

Nuclear Theory · Physics 2021-01-04 K. Nomura , R. Rodríguez-Guzmán , Y. M. Humadi , L. M. Robledo , J. E. García-Ramos

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

The phase structure of a two-fluid bosonic system is investigated. The proton-neutron interacting boson model (IBM-2) posesses a rich phase structure involving three control parameters and multiple order parameters. The surfaces of quantum…

Nuclear Theory · Physics 2007-05-23 M. A. Caprio , F. Iachello

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

The nuclear landscape has been investigated within the triaxial relativistic Hartree-Bogoliubov theory with the PC-PK1 density functional, and the beyond-mean-field dynamical correlation energies are taken into account by a microscopically…

Nuclear Theory · Physics 2022-02-18 Y. L. Yang , Y. K. Wang , P. W. Zhao , Z. P. Li

The onset of octupole deformation and its impact on related spectroscopic properties is studied in even-even neutron-rich lanthanide isotopes Xe, Ba, Ce, and Nd with neutron number $86\leqslant N\leqslant 94$. Microscopic input comes from…

We consider several variants of SU(3) partial dynamical symmetry in relation to quadrupole shapes in nuclei. Explicit construction of Hamiltonians with such property is presented in the framework of the interacting boson model (IBM),…

Nuclear Theory · Physics 2020-10-26 A. Leviatan

The Bohr-Mottelson Hamiltonian, with an octic potential in the $\beta$-deformation variable, is numerically solved for a $\gamma$-unstable symmetry of the nuclear system. The analytical structure of the model allows the description of…

Nuclear Theory · Physics 2026-01-06 P. Buganu , R. Budaca

A collective Hamiltonian for the rotation-vibration motion of nuclei is considered, in which the axial quadrupole and octupole degrees of freedom are coupled through the centrifugal interaction. The potential of the system depends on the…

Nuclear Theory · Physics 2009-11-11 N. Minkov , P. Yotov , S. Drenska , W. Scheid , D. Bonatsos , D. Lenis , D. Petrellis

The structure of even-even $^{108-116}$Cd isotopes is investigated based on the self-consistent mean-field approach. By mapping the quadrupole-$(\beta,\gamma)$ deformation energy surface, obtained from the constrained self-consistent…

Nuclear Theory · Physics 2018-08-08 K. Nomura , J. Jolie

A geometric analysis of the $sdg$ interacting boson model is performed. A coherent-state is used in terms of three types of deformation: axial quadrupole ($\beta_2$), axial hexadecapole ($\beta_4$) and triaxial ($\gamma_2$). The…

Nuclear Theory · Physics 2015-05-14 P. Van Isacker , A. Bouldjedri , S. Zerguine

The evolution of quadrupole and octupole collectivity and their coupling is investigated in a series of even-even isotopes of the actinide Ra, Th, U, Pu, Cm, and Cf with neutron number in the interval $130\leqslant N\leqslant 150$. The…

Nuclear Theory · Physics 2021-04-21 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo , J. E. García-Ramos

The interacting boson-fermion model (IBFM), with parameters determined from the microscopic Hartree-Fock-Bogoliubov (HFB) approximation, based on the parametrization D1M of the Gogny energy density functional (EDF), is employed to study the…

Nuclear Theory · Physics 2017-12-27 K. Nomura , R Rodríguez-Guzmán , L. M. Robledo

We report here theoretical investigations on the complexity of nuclear structure, which have been carried out in the framework of different many-body approaches, typically applied to nuclear matter and quark matter studies. The variational,…

Nuclear Theory · Physics 2007-05-23 Wanda M. Alberico

The use of the Boson Loop Expansion is proposed for investigating the static properties of nuclear matter. We explicitly consider a schematic dynamical model in which nucleons interact with the scalar-isoscalar sigma meson. The suggested…

Nuclear Theory · Physics 2008-11-26 W. M. Alberico , R. Cenni , G. Garbarino , M. R. Quaglia

Experimental data indicate that the mass tensor of collective Bohr Hamiltonian cannot be considered as a constant but should be considered as a function of the collective coordinates. In this work our purpose is to investigate the…

Nuclear Theory · Physics 2020-03-17 M. Chabab , A. El Batoul , I. El-ilali , A. Lahbas , M. Oulne

The energy dependence of the spectral fluctuations in the interacting boson model (IBM) and its connections to the mean-field structures have been analyzed through adopting two statistical measures, the nearest neighbor level spacing…

Nuclear Theory · Physics 2022-10-05 Yu-Qing Wu , Wei Teng , Xiao-Jie Hou , Gui-Xiu , Yu Zhang , Bing-Cheng He , Yan-An Luo Na