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Very recently the atomic masses of neutron-rich Zr isotopes, from $^{96}$Zr to $^{104}$Zr, have been measured with high precision. Using a schematic Interacting Boson Model (IBM) Hamiltonian, the evolution from spherical to deformed shapes…

Nuclear Theory · Physics 2009-11-10 J. E. Garcia-Ramos , K. Heyde , R. Fossion , V. Hellemans , S. De Baerdemacker

A static microscopic study of potential-energy surfaces within the Skyrme-Hartree-Fock-plus-BCS model is carried out for the 256Fm and 258Fm isotopes with the goal of deducing some properties of spontaneous fission. The calculated fission…

Nuclear Theory · Physics 2007-05-23 L. Bonneau

Ground state properties of carbon isotopes, including root-mean-square radii, neutron separation energies, single particle spectra, and shapes are systematically studied with the deformed relativistic Hartree-Bogoliubov theory in continuum.…

Nuclear Theory · Physics 2021-10-15 Xiang-Xiang Sun , Jie Zhao , Shan-Gui Zhou

We examine the coexistence of spherical and $\gamma$-unstable deformed nuclear shapes, described by an SO(5)-invariant Bohr Hamiltonian, along the critical-line. Calculations are performed in the Algebraic Collective Model by introducing…

Nuclear Theory · Physics 2018-03-06 P. E. Georgoudis , A. Leviatan

The systematic of the spontaneous fission half-lives for the nuclei $^{242-262}$Fm and $^{250-260}$No is analyzed, within a least action scheme, with the parametrization D1M of the Gogny energy density functional. The properties of the…

Nuclear Theory · Physics 2018-09-17 R. Rodriguez-Guzman , L. M. Robledo

Structures of $p$- and $sd$-shell nuclei are studied with the deformed-basis antisymmetrized molecular dynamics method using the Gogny D1S and Skyrme SLy7 forces as effective interactions. By the energy variation with a constraint, energy…

Nuclear Theory · Physics 2009-06-25 Yasutaka Taniguchi , Yoshiko Kanada-En'yo , Masaaki Kimura

The goal of this study is to find an observable that could distinguish between both phenomena, shape coexistence and quantum phase transitions. The selected observable to be analyzed is the two-neutron transfer intensity between the 0+…

Nuclear Theory · Physics 2020-12-30 J. E. García-Ramos , J. M. Arias , A. Vitturi

The Relativistic Hartree-Bogoliubov model is applied in the analysis of ground-state properties of Be, B, C, N, F, Ne and Na isotopes. The model uses the NL3 effective interaction in the mean-field Lagrangian, and describes pairing…

Nuclear Theory · Physics 2007-05-23 G. A. Lalazissis , D. Vretenar , P. Ring

We develop an inhomogeneous quantum mean-field approach to the behavior of collective excitations across the superfluid-Mott glass quantum phase transition in two dimensions, complementing recent quantum Monte Carlo simulations [Phys. Rev.…

Strongly Correlated Electrons · Physics 2021-12-15 Martin Puschmann , João C. Getelina , José A. Hoyos , Thomas Vojta

The isoscaling parameter $\alpha$, from the fragments produced in the multifragmentation of $^{58}$Ni + $^{58}$Ni, $^{58}$Fe + $^{58}$Ni and $^{58}$Fe + $^{58}$Fe reactions at 30, 40 and 47 MeV/nucleon, was compared with that predicted by…

Nuclear Experiment · Physics 2009-11-10 D. V. Shetty , S. J. Yennello , A. Botvina , G. A. Souliotis , M. Jandel , E. Bell , A. Keksis , S. Soisson , B. Stein , J. Iglio

We present a symmetry-based approach for prolate-oblate and spherical-prolate-oblate shape coexistence, in the framework of the interacting boson model of nuclei. The proposed Hamiltonian conserves the SU(3) and $\overline{\rm SU(3)}$…

Nuclear Theory · Physics 2016-06-17 A. Leviatan , D. Shapira

Rotational $SU(3)$ algebraic symmetry continues to generate new results in the shell model (SM). Interestingly, it is possible to have multiple $SU(3)$ algebras for nucleons occupying an oscillator shell $\eta$. Several different aspects of…

Nuclear Theory · Physics 2021-07-15 V. K. B. Kota , R. Sahu , P. C. Srivastava

An exactly separable version of the Bohr Hamiltonian which combines the $\gamma$-stable and $\gamma$-rigid axial vibration-rotation is used to describe the collective properties of few neutron rich transitional nuclei. The coupling between…

Nuclear Theory · Physics 2015-10-29 R. Budaca , A. I. Budaca

Thermal properties of single species nucleon matter are investigated assuming a simple form of the nucleon-nucleon interaction. The nucleons are placed on a cubic lattice, hopping from site to site and interacting through a spin-dependent…

Nuclear Theory · Physics 2014-11-18 T. Abe , R. Seki , A. N. Kocharian

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

Beta-decay properties of even and odd-A neutron-rich Ge, Se, Kr, Sr, Ru, and Pd isotopes involved in the astrophysical rapid neutron capture process are studied within a deformed proton-neutron quasiparticle random-phase approximation. The…

Nuclear Theory · Physics 2015-04-08 P. Sarriguren

The density-dependent finite-range Gogny force has been used to derive the effective Hamiltonian for the shell-model calculations of nuclei. The density dependence simulates an equivalent three-body force, while the finite range gives a…

Nuclear Theory · Physics 2018-10-31 Weiguang Jiang , Baishan Hu , Zhonghao Sun , Furong Xu

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…

Nuclear Theory · Physics 2015-11-19 Jie Zhao , Bing-Nan Lu , Tamara Niksic , Dario Vretenar

Wavefunction structure is analyzed for dense interacting many-boson systems using Hamiltonian $H$, which is a sum of one-body $h(1)$ and an embedded GOE of $k$-body interaction $V(k)$ with strength $\lambda$. In the first analysis, a…

Statistical Mechanics · Physics 2021-04-07 Priyanka Rao , N. D. Chavda

In terms of the Interacting Boson Model, shape invariants for the ground state, formed by quadrupole moments up to sixth order, are studied in the dynamical symmetry limits and, for the first time, over the whole structural range of the…

Nuclear Theory · Physics 2009-11-06 V. Werner , N. Pietralla , P. von Brentano , R. F. Casten , R. V. Jolos