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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

Elastic-scattering phase shifts for four-nucleon systems are studied in an $ab$-$initio$ type cluster model in order to clarify the role of the tensor force and to investigate cluster distortions in low energy $d+d$ and $t+p$ scattering. In…

Nuclear Theory · Physics 2015-05-28 S. Aoyama , K. Arai , Y. Suzuki , P. Descouvemont , D. Baye

We define the notion of energy, and compute its values, for gravitational systems involving terms quadratic in curvature. While our construction parallels that of ordinary Einstein gravity, there are significant differences both…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , Bayram Tekin

We present a pedagogical introduction to some key computations in gravitational waves via a side-by-side comparison with the quadrupole contribution of electromagnetic radiation. Subtleties involving gauge choices and projections over…

General Relativity and Quantum Cosmology · Physics 2022-01-31 Glauber C. Dorsch , Lucas E. A. Porto

Low-lying collective excitations in even-even vibrational and transitional nuclei may be described semi-classically as quadrupole running waves on the surface of the nucleus ("tidal waves"), and the observed vibrational-rotational behavior…

The contribution of quantum shape fluctuations to inertial properties of rotating nuclei has been analysed within the self-consistent one-dimensional cranking oscillator model. It is shown that in even-even nuclei the dynamical moment of…

Nuclear Theory · Physics 2009-11-07 R. G. Nazmitdinov , D. Almehed , F. Donau

This work establishes a large deviation principle for the spectral measure of the Lax matrix associated to the periodic Toda chain of $N$ particles, subject to a generalised Gibbs measure. This large deviation principle is governed by a…

Probability · Mathematics 2026-04-08 Tamara Grava , Alice Guionnet , Karol K. Kozlowski , Alex Little

The coupled dynamics of the scissors mode and the isovector giant quadrupole resonance are studied using a generalized Wigner function moments method taking into account pair correlations. Equations of motion for angular momentum,…

Nuclear Theory · Physics 2009-11-13 E. B. Balbutsev , L. A. Malov , P. Schuck , M. Urban , X. Vinyes

The change of the vibrational energy within a molecule after collisions with another molecule plays an essential role in the evolution of molecular internal energy distributions, which is also the limiting process in the relaxation of the…

Chemical Physics · Physics 2024-09-16 Xiaorui Zhao , Xuefei Xu , Haitao Xu

Using the cosmological perturbation theory in terms of the delta-N formalism, we find the simple formulation of the evolution of the curvature perturbation in generalized gravity theories. Compared with the standard gravity theory, a…

High Energy Physics - Theory · Physics 2009-08-12 Tomohiro Matsuda

We present an extended application of the analytic quadrupole octupole axially symmetric model, originally employed to study the octupole deformation and vibrations in light actinides using an infinite well potential (IW). In this work, we…

Nuclear Theory · Physics 2024-01-12 M. Chabab , A. El Batoul , L. El Ouaourti

The interaction of the electric and magnetic dipole moments of a particle with the electromagnetic field is investigated in an approach that deals with four-dimensional (4D) geometric quantities. The new commutation relations for the 4D…

High Energy Physics - Theory · Physics 2011-11-09 Tomislav Ivezić

The deformation parameters beta and gamma together with the two-quasiparticle excitations are taken into account, for the first time, as coordinates within a symmetry conserving (angular momentum and particle number) generator coordinate…

Nuclear Theory · Physics 2017-02-22 Fang-Qi Chen , J. Luis Egido

While dark transitions made bright by molecular motions determine the optoelectronic properties of many materials, simulating such non-Condon effects in condensed-phase spectroscopy remains a fundamental challenge. We derive a Gaussian…

Chemical Physics · Physics 2023-10-09 Zachary Wiethorn , Kye Hunter , Tim Zuehlsdorff , Andrés Montoya-Castillo

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

Twisted light beams, or optical vortices, have been used to drive the circular motion of microscopic particles in optical tweezers and have been shown to generate vortices in quantum gases. Recent studies have established that electric…

Quantum Physics · Physics 2021-07-20 Smail Bougouffa

In a trapped Bose-Einstein condensate, subject to the action of an alternating external field, coherent topological modes can be resonantly excited. Depending on the amplitude of the external field and detuning parameter, there are two…

Quantum Physics · Physics 2007-09-25 E. R. F. Ramos , L. Sanz , V. I. Yukalov , V. S. Bagnato

The evolution of the curvature perturbation is highly non-trivial for curvaton models with self-interactions and is very sensitive to the parameter values. The final perturbation depends also on the curvaton decay rate $\Gamma$. As a…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Kari Enqvist

The model, introduced in a previous paper, for the description of the octupole and quadrupole degrees of freedom in conditions close to the axial symmetry, is applied to situations of shape phase transitions where the quadrupole amplitude…

Nuclear Theory · Physics 2008-11-26 P. G. Bizzeti , A. M. Bizzeti-Sona

The dynamics of "dipolar particles", i.e. particles endowed with a four-vector mass dipole moment, is investigated using an action principle in general relativity. The action is a specific functional of the particle's world line, and of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luc Blanchet