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Influences of the octupole shape degree of freedom on low-energy spectra of neutron-rich odd-mass xenon isotopes are studied within the interacting boson-fermion model that is based on the nuclear density functional theory. The…

Nuclear Theory · Physics 2024-12-05 K. Nomura

The present work reports about the dynamics of a collection of randomly distributed, and randomly oriented, oscillators in 3D space, coupled by an interaction potential falling as $1/r^3$, where r stands for the inter-particle distance.…

Disordered Systems and Neural Networks · Physics 2017-11-22 Simona Olmi , Matteo Gori , Irene Donato , Marco Pettini

We study the translational motions of homonuclear diatomic molecules prepared in their ${}^3\Sigma$ electronic states, deeply bound vibrational states, and rotational states of well-defined parity. The trapping potential arises due to the…

Mathematical Physics · Physics 2026-03-05 Yurij Yaremko , Maria Przybylska , Andrzej J. Maciejewski

Quantum phase transitions between competing ground-state shapes of atomic nuclei with an odd number of protons or neutrons are investigated in a microscopic framework based on nuclear energy density functional theory and the…

Nuclear Theory · Physics 2017-02-17 K. Nomura , T. Nikšić , D. Vretenar

The mechanism of backbending is semi-phenomenologically investigated based on the hybridization of two rotational bands. These bands are defined by treating a model Hamiltonian describing two interacting subsystems: a set of particles…

Nuclear Theory · Physics 2015-05-30 A. A. Raduta , R. Budaca

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

A parametrization of octupole plus quadrupole deformation, in terms of intrinsic variables defined in the rest frame of the overall tensor of inertia, is presented and discussed. The model is valid for situations close to the axial…

Nuclear Theory · Physics 2007-05-23 P. G. Bizzeti , A. M. Bizzeti-Sona

The nuclear compressibility has a role in nuclear physics in several ways. Its relationship to the giant monopole is well known and has been subject of much theoretical work. Less well known is its affect on in nuclear structure, namely…

Nuclear Theory · Physics 2019-04-26 G. F. Bertsch

In high-energy astrophysical processes involving compact objects, such as core-collapse supernovae or binary neutron star mergers, neutrinos play an important role in the synthesis of nuclides. Neutrinos in these environments can experience…

High Energy Astrophysical Phenomena · Physics 2024-06-10 A. Baha Balantekin , Michael J. Cervia , Amol V. Patwardhan , Rebecca Surman , Xilu Wang

We perform an uncertainty estimate of quadrupole moments and B(E2) transition rates that inform nuclear collectivity. In particular, we study the low-lying states of 6Li and 12C using the ab initio symmetry-adapted no-core shell model. For…

A particle-vibration coupling calculation based on the RPA and the cranked shell model has been carried out for superdeformed rotational bands in $^{193}$Hg. The result suggests that properties of single-particle motions in superdeformed…

Nuclear Theory · Physics 2017-02-01 Takashi Nakatsukasa , Shoujirou Mizutori , Kenichi Matsuyanagi

The Hamiltonian used in classical analyses of von Zeipel-Lidov-Kozai or ZLK oscillations in hierarchical triple systems is based on the quadrupole potential from a distant body on a fixed orbit, averaged over the orbits of both the inner…

Earth and Planetary Astrophysics · Physics 2023-04-19 Scott Tremaine

In this work, we modify the Davydov-Chaban Hamiltonian describing the collective motion of a $\gamma$-rigid atomic nucleus by allowing the mass to depend on nuclear deformation. Exact analytical expressions are derived for energy spectra as…

Nuclear Theory · Physics 2018-01-09 P. Buganu , M. Chabab , A. El Batoul , A. Lahbas , M. Oulne

A general form of the octupole collective Hamiltonian is introduced and analyzed based on fundamental tensors in the seven-dimensional tensor space. Possible definitions of intrinsic frames of reference possessing cubic symmetry for the…

Nuclear Theory · Physics 2018-02-07 S. G. Rohozinski , L. Prochniak

We propose a conservative two-dimensional particle model in which particles carry a continuous and classical spin. The model includes standard ferromagnetic interactions between spins of two different particles, and a nonstandard coupling…

In this paper, we investigated the effects of \b{eta}-vibration and \b{eta}-rigidity on the energy levels from the viewpoint of statistical fluctuations of nuclear systems. To this aim, a parameter-free collective solution of the Bohr…

Nuclear Theory · Physics 2025-06-10 H. Sabri , A. Hosseinnezhad

Strong octupole correlations have been observed in the low-lying states of atomic nuclei across various mass regions. In this review, we provide an overview of Beyond Mean-Field (BMF) studies of nuclear octupole collective motions with…

Nuclear Theory · Physics 2023-11-28 E. F. Zhou , J. M. Yao

The azimuthal hadronic flow observed in ultra-relativistic ion-ion collisions provides a sensitive probe of many-body ground-state correlations in the colliding nuclei. In particular, collective correlations associated with nuclear…

Nuclear Theory · Physics 2026-05-28 Stavros Bofos , Yi Li , Chenrong Ding , Benjamin Bally , Thomas Duguet , Mikael Frosini , Jiangming Yao

New approximate analytical solutions have been obtained for the conformable fractional collective Bohr Hamiltonian suitable for triaxial nuclei, with the harmonic oscillator in {\gamma}-part of the collective potential and different…

Nuclear Theory · Physics 2023-11-07 M. M. Hammad , M. M. Yahia , Dennis Bonatsos

The behavior of the collective rotor in wobbling motion is investigated within the particle-rotor model for the nucleus $^{135}$Pr by transforming the wave functions from the $K$-representation to the $R$-representation. After reproducing…

Nuclear Theory · Physics 2018-10-17 E. Streck , Q. B. Chen , N. Kaiser , Ulf-G. Meißner