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Title: Critical Symmetry and Supersymmetry in Nuclei

Abstract

The role of dynamic symmetries and supersymmetries in nuclei is reviewed. The concept of critical symmetry, appropriate to describe bosonic systems (even-even nuclei) at the critical point of a phase transition, is introduced, and the symmetry, E(5), at the critical point of spherical to {gamma}-unstable shape phase transition, is discussed. The recently introduced concept of critical supersymmetry, appropriate to describe mixed systems of bosons and fermions (odd-even nuclei) at the critical point of a phase transition is presented. The case of a j=3/2 particle at the critical point of spherical to {gamma}-unstable transition, called E(5/4), is discussed.

Authors:
 [1]
  1. Center for Theoretical Physics, Sloane Laboratory, Yale University, New Haven, CT 06520 (United States)
Publication Date:
OSTI Identifier:
20798529
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 831; Journal Issue: 1; Conference: International conference on frontiers in nuclear structure, astrophysics, and reactions - FINUSTAR, Isle of Kos (Greece), 12-17 Sep 2005; Other Information: DOI: 10.1063/1.2200923; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BOSONS; ENERGY-LEVEL TRANSITIONS; EVEN-EVEN NUCLEI; FERMIONS; ODD-EVEN NUCLEI; PHASE TRANSFORMATIONS; SPHERICAL CONFIGURATION; SUPERSYMMETRY

Citation Formats

Iachello, Francesco. Critical Symmetry and Supersymmetry in Nuclei. United States: N. p., 2006. Web. doi:10.1063/1.2200923.
Iachello, Francesco. Critical Symmetry and Supersymmetry in Nuclei. United States. doi:10.1063/1.2200923.
Iachello, Francesco. Wed . "Critical Symmetry and Supersymmetry in Nuclei". United States. doi:10.1063/1.2200923.
@article{osti_20798529,
title = {Critical Symmetry and Supersymmetry in Nuclei},
author = {Iachello, Francesco},
abstractNote = {The role of dynamic symmetries and supersymmetries in nuclei is reviewed. The concept of critical symmetry, appropriate to describe bosonic systems (even-even nuclei) at the critical point of a phase transition, is introduced, and the symmetry, E(5), at the critical point of spherical to {gamma}-unstable shape phase transition, is discussed. The recently introduced concept of critical supersymmetry, appropriate to describe mixed systems of bosons and fermions (odd-even nuclei) at the critical point of a phase transition is presented. The case of a j=3/2 particle at the critical point of spherical to {gamma}-unstable transition, called E(5/4), is discussed.},
doi = {10.1063/1.2200923},
journal = {AIP Conference Proceedings},
number = 1,
volume = 831,
place = {United States},
year = {Wed Apr 26 00:00:00 EDT 2006},
month = {Wed Apr 26 00:00:00 EDT 2006}
}