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Related papers: Generator coordinate method for nuclear octupole e…

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In this work, we aim to achieve a minimal extension of the quantum-number projected generator coordinate method (PGCM) to describe Gamow-Teller (GT) transition strengths in even-even nuclei and to compute the NME of $2\nu\beta\beta$ decay.…

Nuclear Theory · Physics 2026-04-06 R. N. Chen , X. Lian , J. M. Yao , C. L. Bai

We develop a novel theoretical method for calculating spectroscopic properties of those nuclei with odd number of nucleons, that is based on the nuclear density functional theory and the particle-boson coupling scheme. Self-consistent…

Nuclear Theory · Physics 2019-12-24 Kosuke Nomura

We apply the optimized-basis generator coordinate method (OptGCM) to sd-shell nuclei, $^{20}$Ne, $^{24}$Mg, and $^{28}$Si. This method variationally optimizes both the basis Slater determinants in the generator coordinate method (GCM) and…

Nuclear Theory · Physics 2025-06-18 Moemi Matsumoto , Yusuke Tanimura , Kouichi Hagino

We discuss an extension of the generator coordinate method (GCM) by taking simultaneously a collective coordinate and its conjugate momentum as generator coordinates. To this end, we follow the idea of the dynamical GCM (DGCM) proposed by…

Nuclear Theory · Physics 2021-03-24 N. Hizawa , K. Hagino , K. Yoshida

Parity and time invariance violating forces produce collective P- and T- odd moments in nuclei with static octupole deformation. Collective Schiff moment, electric octupole and dipole and also magnetic quadrupole appear due to the mixing of…

Nuclear Theory · Physics 2009-01-23 N. Auerbach , V. V. Flambaum , V. Spevak

An approach to the Generator Coordinate Method (GCM) using Skyrme-type effective forces and Woods-Saxon construction potential is applied to calculate the single-particle proton and neutron overlap functions in $^{40}$Ca. The relationship…

Nuclear Theory · Physics 2009-11-06 M. V. Ivanov , M. K. Gaidarov , A. N. Antonov , C. Giusti

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

We study the interplay of quadrupole and octupole degrees of freedom in the structure of the isotope $^{144}$Ba. A symmetry conserving configuration mixing method (SCCM) based on a Gogny energy density functional (EDF) has been used. The…

Nuclear Theory · Physics 2016-04-25 Rémi N. Bernard , Luis M. Robledo , Tomás R. Rodríguez

We perform calculations of the CP-violating atomic and molecular electric dipole moments (EDM) induced by the interaction of the nuclear Schiff moments with electrons. EDM of atoms Eu, Dy, Gd, Ac, Th, Pa, U, Np and Pu are of special…

Atomic Physics · Physics 2020-04-15 V. V. Flambaum , V. A. Dzuba

The Goldstone-Brueckner perturbation theory is extended to incorporate in a simple way correlations associated with large amplitude collective motions in nuclei. The new energy expansion making use of non-orthogonal vacua still allows to…

Nuclear Theory · Physics 2009-11-07 T. Duguet

Background: Ground-state octupole deformations are suggested in nuclei located in the north-east neighbor of the doubly magic nuclei on the nuclear chart (N,Z), such as those in Ba and Ra-Th regions. This systematics has been attributed to…

Nuclear Theory · Physics 2023-10-20 Ken-ichiro Arita

We report a study of the low-lying states of deformed $^{21}$Ne within the framework of quantum-number projected generator coordinate method (PGCM), starting from a chiral two-nucleon-plus-three-nucleon (NN+3N) interaction. The wave…

Nuclear Theory · Physics 2024-10-02 W. Lin , E. F. Zhou , J. M. Yao , H. Hergert

Isotope shifts of the mean square radii (MSR) and electric quadrupole moments of even-even nuclei with 20< Z < 98$ are calculated using a dynamical microscopic model. A single particle Nilsson potential with the Seo set of correction term…

Nuclear Theory · Physics 2009-09-25 Bozena Nerlo-Pomorska , Beata Mach

Theories that extend the Standard Model of particle physics often introduce new interactions that violate charge-parity (CP) symmetry. CP-violating effects within an atomic nucleus can be probed by measuring its nuclear magnetic quadrupole…

Atomic Physics · Physics 2022-12-12 C. J. Ho , J. Lim , B. E. Sauer , M. R. Tarbutt

The collective structure of atomic nuclei intermediate between spherical and quadrupole deformed structure presents challenges to theoretical understanding. However, models have recently been proposed in terms of potentials which are soft…

Nuclear Experiment · Physics 2020-01-07 M. A. Caprio

Giant Resonances are, with nuclear rotations, the most evident expression of collectivity in finite nuclei. These two categories of excitations, however, are traditionally described within different formal schemes, such that vibrational and…

Nuclear Theory · Physics 2024-07-02 Andrea Porro , Thomas Duguet , Jean-Paul Ebran , Mikael Frosini , Robert Roth , Vittorio Somà

The Generator Coordinate Method (GCM) in the Gaussian Overlap Approximation (GOA) is applied to a description of the nuclear quadrupole collective states. The full five-dimensional quadrupole tensor is used as a set of the generator…

Nuclear Theory · Physics 2015-06-04 Stanisław G. Rohoziński

We propose a collective Hamiltonian which incorporates interactions capable to generate rotations in nuclei with simultaneous presence of octupole and quadrupole deformations. It is demonstrated that the model formalism could be applied to…

Nuclear Theory · Physics 2009-11-07 N. Minkov , S. B. Drenska , P. P. Raychev , R. P. Roussev , D. Bonatsos

The degrees of freedom associated with shape fluctuations and space orientation of atomic nuclei are analyzed with effective forces and large configuration spaces. A pedagogical theoretical introduction to the topic of symmetries…

Nuclear Theory · Physics 2017-01-25 J. L. Egido , L. M. Robledo

The roles of static hexadecapole deformation and beyond-mean-field quadrupole-hexadecapole configuration mixing are studied for a selected set of Yb, Hf, W and Os isotopes within the mass range $170 \le A \le 202$, using the…

Nuclear Theory · Physics 2025-08-08 R. Rodriguez-Guzman , L. M. Robledo