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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

A major goal of nuclear theory is to explain the spectra and stability of nuclei in terms of effective many-body interactions amongst the nucleus' constituents-the nucleons, i.e., protons and neutrons. Such an approach, referred to below as…

The single-particle spectrum of deformed shell-model states in nuclei, is shown to exhibit a supersymmetric pattern. The latter involves deformed pseudospin doublets and intruder levels. The underlying supersymmetry is associated with the…

Nuclear Theory · Physics 2011-02-18 A. Leviatan

The volume and surface symmetry parts of the nuclear symmetry energy and other coefficients of the liquid droplet model are determined from the measured atomic masses by the maximum likelihood estimator. The volume symmetry energy…

Nuclear Theory · Physics 2008-11-26 Tapan Mukhopadhyay , D. N. Basu

The nuclear shell model is a benchmark for the description of the structure of atomic nuclei. The magic numbers associated with closed shells have long been assumed to be valid across the whole nuclear chart. Investigations in recent years…

Popular Physics · Physics 2010-06-15 R. Kruecken

The shape of crystalline nanoparticles (NP) can often be described by polyhedra with flat facet surfaces. Thus, structural studies of polyhedral bodies can help to describe geometric details of NPs. Here we consider compact polyhedra of…

Mesoscale and Nanoscale Physics · Physics 2023-07-24 Klaus E. Hermann

Symmetry plays a central role in quantum field theory. Recent developments include symmetries that act on defects and other subsystems, and symmetries that are categorical rather than group-like. These generalized notions of symmetry allow…

High Energy Physics - Theory · Physics 2022-05-20 Clay Cordova , Thomas T. Dumitrescu , Kenneth Intriligator , Shu-Heng Shao

It is shown that the hole in the centre of $ ^{3}H $, $ ^{3}He $ and $ ^{4}He $, the neutron halos in nuclei, the $ \alpha - $ and other clustering effects in nuclei and the nuclear molecules all basically arise due to the same underlying…

Nuclear Theory · Physics 2007-05-23 Afsar Abbas

Three facets of symmetries in neutrino physics are briefly reviewed: i) The SO(5) symmetry of the neutrino mass and and its connection to the see-saw mechanism; ii) Flavor SU(N) symmetries of dense, self-interacting neutrino gases in…

Nuclear Theory · Physics 2014-11-20 A. B. Balantekin

Shell-model states involving several pseudospin doublets and ``intruder'' levels in nuclei, are combined into larger multiplets. The corresponding single-particle spectrum exhibits a supersymmetric pattern whose origin can be traced to the…

Nuclear Theory · Physics 2017-08-23 A. Leviatan

Various applications of quantum algebraic techniques in nuclear structure physics and molecular physics are briefly reviewed. Contains 81 references.

Nuclear Theory · Physics 2008-02-03 Dennis Bonatsos , C. Daskaloyannis , P. Kolokotronis , D. Lenis

We introduce the chiral symmetry in the description of finite nuclei with the hope to unify the hadron and nuclear physics. This trial becomes possible by introducing finite pion mean field, which contributes largely to enhance the…

Nuclear Theory · Physics 2009-11-10 Hiroshi Toki , Yoko Ogawa , Setsuo Tamenaga , Satoru Sugimoto , Kiyomi Ikeda

Coefficients of surface tension for even-even nuclei were estimated using its dependence of nuclear rigidity. The values of nuclear rigidity were obtained owing to its connection to mean squared deformations. The correlation of estimated…

Nuclear Theory · Physics 2017-10-12 N. G. Goncharova

The DIRHB package consists of three Fortran computer codes for the calculation of the ground-state properties of even-even atomic nuclei using the framework of relativistic self-consistent mean-field models. Each code corresponds to a…

Nuclear Theory · Physics 2014-03-18 T. Niksic , N. Paar , D. Vretenar , P. Ring

We examine how nuclear masses are related to the density dependence of the symmetry energy. Using a macroscopic nuclear model we calculate nuclear masses in a way dependent on the equation of state of asymmetric nuclear matter. We find by…

Nuclear Theory · Physics 2010-05-12 Kazuhiro Oyamatsu , Kei Iida

Shell corrections are important in the determination of nuclear ground-state masses and shapes. Although general arguments favor a regular single-particle dynamics, symmetry-breaking and the presence of chaotic layers cannot be excluded.…

Nuclear Theory · Physics 2009-11-07 O. Bohigas , P. Leboeuf

According to standard textbooks, the nuclear symmetry energy originates from the {\it kinetic} energy and the {\it interaction} itself. We argue that this view requires certain modifications. We ascribe the physical origin of the {\it…

Nuclear Theory · Physics 2015-06-26 W. Satula , R. Wyss

Nucleon-nucleon scattering is studied to next-to-leading order in a partially-quenched extension of an effective field theory used to describe multi-nucleon systems in QCD. The partially-quenched nucleon-nucleon amplitudes will play an…

High Energy Physics - Lattice · Physics 2009-11-07 Silas R. Beane , Martin J. Savage

We present a symmetry-based approach for shape coexistence in nuclei, founded on the concept of partial dynamical symmetry (PDS). The latter corresponds to a situation when only selected states (or bands of states) of the coexisting…

Nuclear Theory · Physics 2017-11-17 A. Leviatan , N. Gavrielov

Properties of finite nuclei are investigated based on relativistic Hartree equations which have been derived from a relativistic quark model of the structure of bound nucleons. Nucleons are assumed to interact through the (self-consistent)…

Nuclear Theory · Physics 2007-05-23 Kazuo Tsushima , Koichi Saito , Anthony W. Thomas