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The beyond mean-field approach for low-lying hypernuclear states is extended by mixing the configurations associated with both single-particle and quadrupole-octupole collective excitations within the generator coordinate method based on a…

Nuclear Theory · Physics 2023-04-07 H. J. Xia , X. Y. Wu , H. Mei , J. M. Yao

The generator coordinate method (GCM) has been a well-known method to describe nuclear collective motions. In this method, one specifies {\it a priori} the relevant collective degrees of freedom as input of the method, based on empirical…

Nuclear Theory · Physics 2023-11-10 Moemi Matsumoto , Yusuke Tanimura , Kouichi Hagino

Hyperfine structures of $^{211}$Fr due to the interactions of magnetic dipole ($\mu$), electric quadrupole ($Q$) and magnetic octupole ($\Omega$) moments with the electrons are investigated using the relativistic coupled-cluster (RCC)…

Nuclear Theory · Physics 2015-07-07 B. K. Sahoo

Reflection asymmetric, octupole shapes in nuclei are a prominent aspect of nuclear structure, and have been recurrently studied over the decades. Recent experiments using radioactive-ion beams have provided evidence for stable octupole…

Nuclear Theory · Physics 2022-11-02 Kosuke Nomura

Deformed nuclei exhibit enhanced moments that violate time-reversal invariance ($T$) and parity ($P$). This paper focuses on the enhanced nuclear electric dipole moment (EDM) and Schiff moment present in nuclei with octupole deformation…

Nuclear Theory · Physics 2025-06-24 V. V. Flambaum , A. J. Mansour

The generator coordinate method (GCM) casts the wavefunction as an integral over a weighted set of non-orthogonal single determinantal states. In principle this representation can be used like the configuration interaction (CI) or shell…

Nuclear Theory · Physics 2015-06-23 Jason L. Stuber

Background: Properties of giant dipole resonances, along with other nuclear resonances, provide valuable tools for refining theoretical models as they reflect collective features of nuclear matter. Among such collective phenomena is…

Nuclear Theory · Physics 2026-04-24 Manu Kanerva , Markus Kortelainen

The generator coordinate method (GCM) is an important tool of choice for modeling large-amplitude collective motion in atomic nuclei. The computational complexity of the GCM increases rapidly with the number of collective coordinates. It…

Nuclear Theory · Physics 2023-02-10 X. Zhang , W. Lin , J. M. Yao , C. F. Jiao , A. M. Romero , T. R. Rodríguez , H. Hergert

We examine the time-reversal-violating nuclear ``Schiff moment'' that induces electric dipole moments in atoms. After presenting a self-contained derivation of the form of the Schiff operator, we show that the distribution of Schiff…

Nuclear Theory · Physics 2014-11-18 J. Engel , J. L. Friar , A. C. Hayes

An implementation of the generalized time-dependent generator coordinated method (TD-GCM) is developed, that can be applied to the dynamics of small- and large-amplitude collective motion of atomic nuclei. Both the generator states and…

Nuclear Theory · Physics 2023-07-28 B. Li , D. Vretenar , T. Nikšić , P. W. Zhao , J. Meng

Parity and time invariance violating (${\cal P},{\cal T}$-odd) nuclear forces produce ${\cal P},{\cal T}$-odd nuclear moments, for example, the nuclear Schiff moment. In turn, this moment can induce electric dipole moments (EDMs) in atoms.…

Nuclear Theory · Physics 2009-08-18 V. V. Flambaum , V. G. Zelevinsky

Since its beginnings, fission theory has asumed that low-energy induced fission takes place through transition-state channels at the barrier tops. Neverthess, up to now there is no microscopic theory applicable to those conditions. We…

Nuclear Theory · Physics 2022-04-13 G. F. Bertsch , K. Hagino

The dynamics of nuclear collective motion is investigated in the case of reflection-asymmetric shapes. The model is based on a new parameterization of the octupole and quadrupole degrees of freedom, valid for nuclei close to the axial…

Nuclear Theory · Physics 2009-11-10 P. G. Bizzeti , A. M. Bizzeti-Sona

$\textit{Background}$: Nuclear fusion has been shown to be a perfect probe to study the different nuclear shapes. However, the possibility of testing octupole deformation of a nucleus with this tool has not been fully explored yet. The…

Nuclear Theory · Physics 2015-11-06 Raj Kumar , J. A. Lay , A. Vitturi

We present a new application of the Generator Coordinate Method (GCM) as an electronic structure method for strong electron correlation in molecular systems. We identify spin fluctuations as an important generator coordinate responsible for…

Chemical Physics · Physics 2025-03-18 Amir Ayati , Hugh G. A. Burton , Patrick Bultinck , Stijn De Baerdemacker

Properties of the ground and several collective excited states of the light nuclei ^{30,32,34}Mg are described in the framework of the angular momentum projected Generator Coordinate Method using the quadrupole moment as collective…

Nuclear Theory · Physics 2009-11-06 R. R. Rodriguez-Guzman , J. L. Egido , L. M. Robledo

The discovery of the atomic electric dipole moment (EDM) would reveal the simultaneous violation of parity (P) and time-reversal (T) invariance. The EDM can be induced by T-odd forces between the nucleus and atomic electrons. As the nuclear…

Nuclear Theory · Physics 2008-11-26 Naftali Auerbach , Vladimir Zelevinsky

Octupole correlations in the low-energy collective states of neutron-rich nuclei with the neutron number $N\approx56$ are studied within the interacting boson model (IBM) that is based on the nuclear density functional theory. The…

Nuclear Theory · Physics 2022-05-31 Kosuke Nomura

The nuclear magnetic octupole moment is revisited as a potentially useful observable for nuclear structure studies. The magnetic octupole moment, $\Omega$, is examined in terms of the nuclear collective model including weak and strong…

Nuclear Theory · Physics 2024-06-25 Stavros Bofos , Theo J. Mertzimekis

Nuclear forces violating parity and time reversal invariance (${\cal P},{\cal T}$-odd) produce ${\cal P},{\cal T}$-odd nuclear moments, for example, the nuclear Schiff moment. In turn, this moment can induce the electric dipole moment in…

Nuclear Theory · Physics 2008-11-26 N. Auerbach , V. F. Dmitriev , V. V. Flambaum , A. Lisetskiy , R. A. Sen'kov , V. G. Zelevinsky