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Related papers: Semiclassical Calculation of Shell Effects in Defo…

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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

We give a semiclassical interpretation of the mass asymmetry in the fission of heavy nuclei. Using only a few classical periodic orbits and a cavity model for the nuclear mean field, we reproduce the onset of left-right asymmetric shapes at…

Nuclear Theory · Physics 2009-01-23 M. Brack , S. M. Reimann , M. Sieber

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

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.…

Nuclear Theory · Physics 2017-02-01 Ken-ichiro Arita , Kenichi Matsuyanagi

Fission of atomic nuclei often produces mass asymmetric fragments. However, the origin of this asymmetry was believed to be different in actinides and in the sub-lead region [A. Andreyev {\it et al.}, Phys. Rev. Lett. {\bf 105}, 252502…

Nuclear Theory · Physics 2019-11-06 Guillaume Scamps , Cédric Simenel

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

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…

Nuclear Theory · Physics 2016-05-09 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

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

Quantum shell effects are known to affect the formation of fragments in nuclear fission. Shell effects also affect quasi-fission reactions occurring in heavy-ion collisions. Systematic time-dependent Hartree-Fock simulations of 50Ca+176Yb…

Nuclear Theory · Physics 2021-10-19 C. Simenel , P. McGlynn , A. S. Umar , K. Godbey

Shell effects in atomic nuclei are a quantum mechanical manifestation of the single--particle motion of the nucleons. They are directly related to the structure and fluctuations of the single--particle spectrum. Our understanding of these…

Nuclear Theory · Physics 2007-05-23 P. Leboeuf

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

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

A short survey of the semiclassical periodic orbit theory, initiated by M. Gutzwiller and generalized by many other authors, is given. Via so-called semiclassical trace formmulae, gross-shell effects in bound fermion systems can be…

Nuclear Theory · Physics 2015-06-26 Matthias Brack

Background: Experiment of $^{180}\mathrm{Hg}$ fission revealed a possible ``new asymmetric fission mode'' in the preactinide region, posing challenges to current fission theory. Similarity on shell effects are observed between fission and…

Nuclear Theory · Physics 2025-12-29 Yingge Huang , Haozhao Liang , Jun Su

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…

Nuclear Theory · Physics 2023-02-06 Ken-ichiro Arita

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…

Exactly Solvable and Integrable Systems · Physics 2008-12-18 A. G. Magner , S. N. Fedotkin , K. Arita , K. Matsuyanagi , M. Brack

We derive a semiclassical trace formula for the level density of the three-dimensional spheroidal cavity. To overcome the divergences and discontinuities occurring at bifurcation points and in the spherical limit, the trace integrals over…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 A. G. Magner , K. Arita , S. N. Fedotkin , K. Matsuyanagi

Fission of $^{180}$Hg produces mass asymmetric fragments which are expected to be influenced by deformed shell-effects at N=56 in the heavy fragment and Z=34 in the light fragment [G. Scamps and C. Simenel, arXiv:1904.01275 (2019)]. To…

Nuclear Theory · Physics 2020-08-26 Guillaume Scamps , Cédric Simenel

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…

Nuclear Theory · Physics 2014-05-12 Ken-ichiro Arita , Yasunori Mukumoto
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