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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.…

Nuclear Theory · Physics 2009-11-11 Ken-ichiro Arita

Making use of the semiclassical periodic orbit theory (POT), we propose, for the first time, a method to exclusively evaluate the shell effects associated with each of the nascent fragments (prefragments) generated by the neck formation in…

Nuclear Theory · Physics 2018-12-19 Ken-ichiro Arita , Takatoshi Ichikawa , Kenichi Matsuyanagi

Background: Ground-state octupole deformations are suggested in nuclei located in the north-east neighbor of the doubly magic nuclei on the nuclear chart (N,Z), such as those in Ba and Ra-Th regions. This systematics has been attributed to…

Nuclear Theory · Physics 2023-10-20 Ken-ichiro Arita

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,…

Nuclear Theory · Physics 2023-07-06 Ken-ichiro Arita

The semiclassical origins of the enhancement of shell effects in exotic-shape mean-field potentials are investigated by focusing attention on the roles of the local symmetries associated with the periodic-orbit bifurcations. The deformed…

Nuclear Theory · Physics 2017-07-06 Ken-ichiro Arita

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,…

Nuclear Theory · Physics 2012-09-18 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…

Nuclear Theory · Physics 2017-03-08 A. G. Magner , M. V. Koliesnik , K. Arita

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…

Nuclear Theory · Physics 2009-10-30 K. Arita , A. Sugita , K. Matsuyanagi

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…

Nuclear Theory · Physics 2009-11-07 K. Arita , A. G. Magner , K. Matsuyanagi

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…

Nuclear Theory · Physics 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…

Nuclear Theory · Physics 2020-01-06 K. Arita , T. Ichikawa , K. Matsuyanagi

A reflection-asymmetric deformed oscillator potential is analysed from the classical and quantum mechanical point of view. The connection between occurrence of shell structures and classical periodic orbits is studied using the ''removal of…

Nuclear Theory · Physics 2015-06-26 W. Dieter Heiss , Rashid G. Nazmitdinov , Stefanel Radu

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…

Nuclear Theory · Physics 2009-10-28 W. Dieter Heiss , Rashid G. Nazmitdinov , Stefanel Radu

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…

Nuclear Theory · Physics 2009-10-31 K. Arita , A. Sugita , K. Matsuyanagi

Several topics concerning nuclear structure and electromagnetic interactions of heavy nuclei are reviewed. These comprehend the deformed single-particle shell model, nuclear collective motion, symmetry breaking and approximate symmetry…

Nuclear Theory · Physics 2024-06-12 Alejandro Restrepo-Giraldo

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…

Nuclear Theory · Physics 2009-10-30 A. Sugita , K. Arita , K. Matsuyanagi

The rotating nuclei represent one of most interesting subjects for theoretical and experimental studies. They open a new dimension of nuclear landscape, namely, spin direction. Contrary to the majority of nuclear systems, their properties…

Nuclear Theory · Physics 2016-04-27 A. V. Afanasjev

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…

Nuclear Theory · Physics 2015-03-17 A. G. Magner , I. S. Yatsyshyn , K. Arita , M. Brack

The evolution of single-particle energies with varying isospin asymmetry in the shell model is an important issue when predicting changes in the shell structure for exotic nuclei. In many cases pseudospin partner levels, that are almost…

Nuclear Theory · Physics 2008-11-26 S. Typel

Independent particle model in nuclear physics assumes that the nucleon in the nucleus moves in the average (mean field) potential generated by all other nucleons. This chapter gives a short overview of basic features of the independent…

Nuclear Theory · Physics 2022-09-13 A. V. Afanasjev
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