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We review different models used for reactions involved in nuclear astrophysics. The reaction rate is defined for resonant as well as for non-resonant processes. For low-density nuclei, we describe the DWBA method, the potential model, the…

Astrophysics · Physics 2009-11-10 P. Descouvemont , T. Rauscher

We review the status and prospects of theoretical studies of neutrino-nucleus interactions, and discuss the influence of the treatment of nuclear effects on the determination of oscillation parameters. The models developed to describe the…

Nuclear Theory · Physics 2017-11-01 Omar Benhar , Patrick Huber , Camillo Mariani , Davide Meloni

In what has been described as the fourth age of Quantum Chemistry, variational nuclear motion programs are now routinely being used to obtain the vibration-rotation levels and corresponding wavefunctions of small molecules to the sort of…

Chemical Physics · Physics 2016-09-23 Jonathan Tennyson

Brownian motion of a particle with an arbitrary shape is investigated theoretically. Analytical expressions for the time-dependent cross-correlations of the Brownian translational and rotational displacements are derived from the…

Statistical Mechanics · Physics 2015-02-13 Bodan Cichocki , Maria L. Ekiel-Jezewska , Eligiusz Wajnryb

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 consider a bound system of charged particles moving in an external electromagnetic field, including leading relativistic corrections. The difference from the point particle with a magnetic moment comes from the presence of…

Atomic Physics · Physics 2020-01-08 Krzysztof Pachucki , Vladimir A. Yerokhin

Symmetry breaking is an importance concept in nuclear physics and other fields of physics. Self-consistent coupling between the mean-field potential and the single-particle motion is a key ingredient in the unified model of Bohr and…

Spectroscopic observables such as electromagnetic transitions strengths can be related to the properties of the intrinsic mean-field wave function when the latter are strongly deformed, but the standard rotational formulas break down when…

Nuclear Theory · Physics 2015-06-05 L. M. Robledo , G. F. Bertsch

Two complementary methods to describe the collective motion, RPA and Wigner function moments method, are compared on an example of a simple model - harmonic oscillator with quadrupole-quadrupole residual interaction. It is shown that they…

Nuclear Theory · Physics 2009-11-11 E. B. Balbutsev , P. Schuck

We consider a ferromagnetic particle levitated in air under microwave irradiation and theoretically study the noise in its rigid-body rotation induced by the gyromagnetic effect. This rotational noise includes useful information on angular…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 T. Sato , Daigo Oue , M. Matsuo , T. Kato

Although nuclear fission can be understood qualitatively as an evolution of the nuclear shape, a quantitative description has proven to be very elusive. In particular, until now, there exists no model with demonstrated predictive power for…

Nuclear Theory · Physics 2011-04-05 Jorgen Randrup , Peter Moller

Zitterbewegung (ZB, the trembling motion) of free relativistic electrons in a vacuum in the presence of an external magnetic field is calculated. It is shown that the motion of an electron wave packet has intraband frequency components,…

Quantum Physics · Physics 2011-01-04 Tomasz. M. Rusin , Wlodek Zawadzki

Properties of octupole vibrations in rapidly rotating nuclei are discussed. Microscopic RPA calculations based on the cranked shell model are performed to investigate the interplay between rotation and vibrations. The ability of this model…

Nuclear Theory · Physics 2007-05-23 Takashi Nakatsukasa

The three moments of inertia associated with the wobbling mode built on the superdeformed states in 163Lu are investigated by means of the cranked shell model plus random phase approximation to the configuration with an aligned…

Nuclear Theory · Physics 2009-11-07 Masayuki Matsuzaki , Yoshifumi R. Shimizu , Kenichi Matsuyanagi

The recent extensions of the covariant energy density functional theory with the quasiparticle-vibration coupling (QVC) are reviewed. Formulation of the Quasiparticle Random Phase Approximation (QRPA) in the relativistic framework is…

Nuclear Theory · Physics 2017-08-23 Elena Litvinova , Victor Tselyaev

The mechanisms of thermally activated magnetization switching in small ferromagnetic particles driven by an external magnetic field are investigated. For low uniaxial anisotropy the spins rotate coherently while for sufficiently large…

Statistical Mechanics · Physics 2009-10-31 U. Nowak , D. Hinzke

From the semi-empirical formalisms of Bohr-Mottelson, a new model, based on the effect of beta- and gamma- head energies and the variable moment of inertia, was developed to calculate the ground state rotational band of almost all deformed…

Nuclear Theory · Physics 2007-05-23 Mohamed E. Kelabi , A. Y. Ahmed , Vikram Singh

We consider several subtle aspects of the theory of neutrino oscillations which have been under discussion recently. We show that the $S$-matrix formalism of quantum field theory can adequately describe neutrino oscillations if correct…

High Energy Physics - Phenomenology · Physics 2011-06-30 E. Kh. Akhmedov , A. Yu. Smirnov

We deal here with the application of the Nuclear Born Oppenheimer (NBO) method to the description of nuclear rotations. As an edifying illustration, we apply the NBO formalism to study the rotational motion of nuclei which are…

Nuclear Theory · Physics 2009-12-31 Nouredine Zettili

In order to provide a microscopic description of levels and E2 transitions in rapidly rotating nuclei with internal excitation energy up to a few MeV, use is made of a shell model which combines the cranked Nilsson mean-field and the…

Nuclear Theory · Physics 2009-10-30 M. Matsuo , T. Døssing , E. Vigezzi , R. A. Broglia , K. Yoshida