# DYNAMICAL SUPERSYMMETRIES IN NUCLEI

@article{Iachello1980DYNAMICALSI, title={DYNAMICAL SUPERSYMMETRIES IN NUCLEI}, author={Francesco Iachello}, journal={Physical Review Letters}, year={1980}, volume={44}, pages={772-775} }

It is suggested that dynamical (Bose-Fermi) supersymmetries may be present in the spectra of complex nuclei. A concrete example in which a supersymmetric structure is experimentally observed is shown. In this example the supersymmetry is generated by L=0 and L=2 bosons together with j=3/2 fermions.

## 225 Citations

Approximate supersymmetries in nuclei

- Physics
- 1982

Abstract Dynamical symmetries and supersymmetries for the SU(6) quadrupole phonon model are the same as those of the IBM/IBFM. Here we propose the approximate supersymmetry SU BF (3), with…

Search for supersymmetry in light nuclei

- Physics
- 1988

Abstract The supersymmetry assumption based on a system of valence interacting bosons and odd nucleons has been checked in the second half of the nuclear sd-shell. The dynamical supersymmetric…

Dynamical supersymmetry SU(6/4) in nuclei

- Physics
- 1980

A supersymmetric scheme for classifying the levels of certain odd and even nuclei in a single multiplet of SU(6/4) is presented. Sum rules relating the ground state energies of odd and even nuclei…

Dynamical supersymmetry and collective nuclear structure physics

- Physics
- 1984

Abstract The symmetry principles of the Interacting Boson Model (even-even nucleus) and the Interacting Bose-Fermi Model (even-odd nucleus) are reviewed. Dynamical supersymmetry is introduced as the…

U(6-4) SUPERSYMMETRY IN NUCLEI

- Physics
- 1981

We suggest that supergroups and superalgebras may be useful in classifying the spectra of certain even-even and even-odd nuclei. We show, in particular, that properties of many states in several…

Symmetries in heavy nuclei and the proton-neutron interaction

- Physics
- 1986

The Interacting Boson Approximation (IBA) nuclear structure model can be expressed in terms of the U(6) group, and thereby leads to three dynamical symmetries (or group chains) corresponding to…

Interacting boson-fermion limit of the SO(8) model of nuclei.

- Physics, MedicinePhysical review. C, Nuclear physics
- 1987

The SO(8) model of Ginocchio in the case of an odd number of nucleons and its properties under group contraction are analyzed and an interacting boson-fermion model with parameters arising from the microscopic SO( 8) Hamiltonian is obtained.

Supersymmetry in nuclear physics

- Physics
- 2010

I discuss several new developments in nuclear supersymmetry, in particular the identification of a new supersymmetric quartet of nuclei in the A ~ 190 region of the nuclear mass table consisting of…

Supersymmetry in some nuclear-structure models

- Physics
- 2001

Application of the supersymmetry concept in nuclear-structure physics is considered. A Hamiltonian that is based on the U(6/12) graded algebra and which does not possess, in general, a dynamic…

Supersymmetric operator for the U(6/4) dynamical symmetry

- Physics
- 1998

Abstract An explicit form of the supersymmetric operator is constructed algebraically for the case of the U(6/4) dynamical symmetry. It converts the eigenstates of the even nucleus into corresponding…

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