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By means of periodic orbit theory and deformed cavity model, we have investigated semiclassical origin of superdeformed shell structure and also of reflection-asymmetric deformed shapes. Systematic analysis of quantum-classical…

核理论 · 物理学 2009-10-30 K. Arita , A. Sugita , K. Matsuyanagi

Deformed shell structures in nuclear mean-field potentials are systematically investigated as functions of deformation and surface diffuseness. As the mean-field model to investigate nuclear shell structures in a wide range of mass numbers,…

核理论 · 物理学 2012-09-18 Ken-ichiro Arita

Shell structure of the single-particle spectrum for reflection-asymmetric deformed cavity is investigated. Remarkable shell structure emerges for certain combinations of quadrupole and octupole deformations. Semiclassical periodic-orbit…

核理论 · 物理学 2009-10-30 A. Sugita , K. Arita , K. Matsuyanagi

Correspondence between classical periodic orbits and quantum shell structure is investigated for a reflection-asymmetric deformed oscillator model as a function of quadrupole and octupole deformation parameters. Periodic orbit theory…

核理论 · 物理学 2009-10-28 Ken-ichiro Arita , Kenichi Matsuyanagi

Semiclassical analysis of shell structures in realistic nuclear potentials are presented using periodic-orbit theory. We adopted r^alpha potential model and examined classical-quantum correspondence using Fourier transformation technique.…

核理论 · 物理学 2009-11-11 Ken-ichiro Arita

The periodic-orbit theory based on the improved stationary-phase method within the phase-space path integral approach is presented for the semiclassical description of the nuclear shell structure, concerning the main topics of the fruitful…

核理论 · 物理学 2017-03-08 A. G. Magner , M. V. Koliesnik , K. Arita

Semiclassical periodic-orbit theory (POT) is applied to the physics of nuclear structures, with the use of a realistic nuclear mean-field model given by the radial power-law potential. Evolution of deformed shell structures, which are…

核理论 · 物理学 2016-05-09 Ken-ichiro Arita

Relationship between quantum shell structure and classical periodic orbits is briefly reviewed on the basis of semi-classical trace formula. Using the spheroidal cavity model, it is shown that three-dimensional periodic orbits, which are…

核理论 · 物理学 2009-11-07 K. Arita , A. G. Magner , K. Matsuyanagi

Shell structures in single-particle energy spectra are investigated against regular tetrahedral type deformation using radial power-law potential model. Employing a natural way of shape parametrization which interpolates sphere and regular…

核理论 · 物理学 2014-05-12 Ken-ichiro Arita , Yasunori Mukumoto

We have derived a semiclassical trace formula for the level density of the three-dimensional spheroidal cavity. To overcome the divergences occurring at bifurcations and in the spherical limit, the trace integrals over the action-angle…

可精确求解与可积系统 · 物理学 2008-12-18 A. G. Magner , S. N. Fedotkin , K. Arita , K. Matsuyanagi , M. Brack

The origin of octupole deformation for even-even nuclei near the doubly-closed shell configurations are investigated by means of the semiclassical periodic orbit theory. In order to focus on the change of shell structure due to deformation,…

核理论 · 物理学 2023-07-06 Ken-ichiro Arita

The effect of an octupole term in a quadrupole deformed single particle potential is studied from the classical and quantum mechanical view point. Whereas the problem is nonintegrable, the quantum mechanical spectrum nevertheless shows some…

核理论 · 物理学 2009-10-28 W. Dieter Heiss , Rashid G. Nazmitdinov , Stefanel Radu

Semiclassical analysis of the shell structure for a reflection-asymmetric deformed oscillator potential with irrational frequency ratio $\omega_\perp/\omega_z=\sqrt{3}$ is presented. Strong shell effects associated with bifurcations of…

核理论 · 物理学 2009-10-28 Ken-ichiro Arita

We summarize recent work in which the shell effect, which causes the onset of the mass asymmetry in nuclear fission, could be explained semiclassically in the framework of the periodic orbit theory. We also present new results for the…

核理论 · 物理学 2017-08-23 M. Brack , Ch. Amann

The origin of the asymmetry in the fragment mass distribution of low-energy nuclear fission is considered from the semiclassical point of view. Using the semiclassical periodic-orbit theory, one can define and quantify the shell effect…

核理论 · 物理学 2020-01-06 K. Arita , T. Ichikawa , K. Matsuyanagi

An oscillatory pattern in the smoothed quantum spectrum, which is unique for single-particle motions in a reflection-asymmetric superdeformed oscillator potential, is investigated by means of the semiclassical theory of shell structure.…

核理论 · 物理学 2017-02-01 Ken-ichiro Arita , Kenichi Matsuyanagi

Classical periodic orbits responsible for emergence of the superdeformed shell structures for single-particle motions in spheroidal cavities are identified and their relative contributions to the shell structures are evaluated. Both prolate…

核理论 · 物理学 2009-10-31 K. Arita , A. Sugita , K. Matsuyanagi

A semiclassical analysis is made of the origin of an undulating pattern in the smoothed level density for a reflection-asymmetric superdeformed oscillator potential. It is suggested that, when the octupole-type deformation increases, an…

核理论 · 物理学 2023-02-06 Ken-ichiro Arita

We first give an overview of the shell-correction method which was developed by V. M. Strutinsky as a practicable and efficient approximation to the general selfconsistent theory of finite fermion systems suggested by A. B. Migdal and…

核理论 · 物理学 2015-03-17 A. G. Magner , I. S. Yatsyshyn , K. Arita , M. Brack

More than half a century after the fundamental, spherical shell structure in nuclei has been established, theoretical predictions indicate that the shell-gaps comparable or even stronger than those at spherical shapes may exist.…

核理论 · 物理学 2009-11-07 J. Dudek , A. Gozdz , N. Schunck , M. Miskiewicz
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