# 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:

- 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}

}

DOI: 10.1063/1.2200923

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