Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:nucl-th/0703057 · Opportunities with Exotic Beams

FERMION SYSTEMS WITH FUZZY SYMMETRIES: (LEVERAGING THE KNOWN TO UNDERSTAND THE UNKNOWN)

J. P. DRAAYER, K. D. SVIRATCHEVA, T. DYTRYCH, C. BAHRI, K. DRUMEV, James P. Vary

Published Mar 1, 2007• 0 citations
arXivHTMLPDF

Abstract

Microscopic models, which embody the simplicity and significance of a dynamical symmetry approach to nuclear structure, are reviewed. They can reveal striking features of atomic nuclei when a symmetry dominates and solutions in domains that may otherwise be unreachable.
DOI
10.1142/9789812708250_0008

Related papers

SYMMETRIES AND STATISTICAL BEHAVIOR IN FERMION SYSTEMS

J. B. French, J. P. Draayer

WORLD SCIENTIFIC eBooks•Dec 9, 2010•1 citation

Classical Solutions and 'Hidden' Symmetry of Bose-fermi System

Oktay K. Pashaev

Physica A Statistical Mechanics and its Applications•Jan 1, 1980•1 citation

FERMION SYSTEMS WITH FUZZY SYMMETRIES (LEVERAGING THE KNOWN TO UNDERSTAND THE UNKNOWN)

Jerry Paul Draayer, K. D. Sviratcheva, T. Dytrych +3 more

Microscopic models, which embody the simplicity and significance of a dynamical symmetry approach to nuclear structure, are reviewed. They can reveal striking features of atomic nuclei when a symmetry dominates and solutions in domains that may otherwise be unreachable. 1. Overview of algebraic fermion models. A theory that invokes group symmetries is driven by an expectation that the wave functions of the quantum mechanical system under consideration can be characterized by their invariance properties under the corresponding symmetry transformations. But even when the symmetries are not exact, if one can find near invariant operators, the associated symmetries can be used to help reduce the dimensionality of a model space to a tractable size. Throughout the years, group-theoretical approaches have identified fundamental symmetries in light to heavy nuclei and achieved a reasonable reproduction of experimental data (for a review of fermion models, see 1). In addition, they provide theoretical predictions for nuclear systems including heavy unstable

•Jan 1, 2007•0 citations

Unmasking Hidden Wigner's Symmetry from First Principles

Phong Dang, Daniel Langr, T. Dytrych +2 more

We present quantitative evidence that high-quality internucleon forces derived from $χ$EFT exhibit a striking dominance of Wigner's supermultiplet symmetry, without invoking the large-$N_c$ limit of QCD or assumptions about specific nuclei. We trace the manifestation of this symmetry in nuclear structure using the ab initio Symmetry Adapted Model (SAM) and identify suppressed spin-isospin polarizability. Our calculations show that a majority of $\rm ^4He$, $\rm ^6Li$, and $\rm ^6He$ wave functions is concentrated in a few $\rm U(4)$ irreducible representations, without imposing any a priori constraints on the model space. This emergent feature points to a strategy for reducing explosive many-body bases of the NCSM while retaining physically important configurations needed to compute observables.

arXiv:2604.27144•Apr 29, 2026•0 citations

Macroscopic and microscopic nuclear collective Hamiltonians: Their symmetry group and the canonical transformations relating them

M. Moshińsky

Physica A Statistical Mechanics and its Applications•Aug 1, 1982•11 citations

The hyperfine interaction as a probe of the microscopic structure of the atomic nucleus

Denis Janković, Jean-Gabriel Hartmann, Johann Bartel +3 more

The study of highly charged electronic and muonic hydrogen-like ions, provides an intriguing way to probe the internal structure of their atomic nuclei. In this work, we use nuclear structure calculations to accurately calculate the hyperfine splitting of electronic and muonic hydrogen-like ions, focusing in particular on the incorporation of finite-volume corrections, such as Bohr-Weisskopf and Breit-Rosenthal, due to the penetration of the electron and muon wavefunction into the nuclear electric charge and magnetic dipole densities. These corrections are essential for refining our understanding of the nuclear magnetic dipole and electric quadrupole moments. Our simulations use a Skyrme-Hartree-Fock-BCS model known for its effectiveness in modeling well-deformed nuclei such as ${}^{159}\mathrm{Tb}^{64+}$ and ${}^{165}\mathrm{Ho}^{66+}$, with particular emphasis on ${}^{161,163}\mathrm{Dy}^{65+}$ isotopes. It can also be generalised to multi-electron ions by studying the hyperfine anomaly between two isotopes.

physics.atom-phCross-listedarXiv:2602.18144•Feb 23, 2026
Microscopic models, which embody the simplicity and significance of a dynamical symmetry approach to nuclear structure, are reviewed. They can reveal striking features of atomic nuclei when a symmetry dominates and solutions in domains that may otherwise be unreachable. 1. Overview of algebraic fermion models. A theory that invokes group symmetries is driven by an expectation that the wave functions of the quantum mechanical system under consideration can be characterized by their invariance properties under the corresponding symmetry transformations. But even when the symmetries are not exact, if one can find near invariant operators, the associated symmetries can be used to help reduce the dimensionality of a model space to a tractable size. Throughout the years, group-theoretical approaches have identified fundamental symmetries in light to heavy nuclei and achieved a reasonable reproduction of experimental data (for a review of fermion models, see 1). In addition, they provide theoretical predictions for nuclear systems including heavy unstable
We present quantitative evidence that high-quality internucleon forces derived from χχχEFT exhibit a striking dominance of Wigner's supermultiplet symmetry, without invoking the large-NcN_cNc​ limit of QCD or assumptions about specific nuclei. We trace the manifestation of this symmetry in nuclear structure using the ab initio Symmetry Adapted Model (SAM) and identify suppressed spin-isospin polarizability. Our calculations show that a majority of 4He\rm ^4He4He, 6Li\rm ^6Li6Li, and 6He\rm ^6He6He wave functions is concentrated in a few U(4)\rm U(4)U(4) irreducible representations, without imposing any a priori constraints on the model space. This emergent feature points to a strategy for reducing explosive many-body bases of the NCSM while retaining physically important configurations needed to compute observables.
The study of highly charged electronic and muonic hydrogen-like ions, provides an intriguing way to probe the internal structure of their atomic nuclei. In this work, we use nuclear structure calculations to accurately calculate the hyperfine splitting of electronic and muonic hydrogen-like ions, focusing in particular on the incorporation of finite-volume corrections, such as Bohr-Weisskopf and Breit-Rosenthal, due to the penetration of the electron and muon wavefunction into the nuclear electric charge and magnetic dipole densities. These corrections are essential for refining our understanding of the nuclear magnetic dipole and electric quadrupole moments. Our simulations use a Skyrme-Hartree-Fock-BCS model known for its effectiveness in modeling well-deformed nuclei such as 159Tb64+{}^{159}\mathrm{Tb}^{64+}159Tb64+ and 165Ho66+{}^{165}\mathrm{Ho}^{66+}165Ho66+, with particular emphasis on 161,163Dy65+{}^{161,163}\mathrm{Dy}^{65+}161,163Dy65+ isotopes. It can also be generalised to multi-electron ions by studying the hyperfine anomaly between two isotopes.