U(6 mod 10) supersymmetry in the Ni isotopes
TL;DR: In this paper, the authors performed supersymmetry calculations for the Ni isotopes within the framework of IBM using the concept of dynamic symmetries for the U(5*SUF(2) limit of the graded Lie group U(6 mod 10).
Abstract: Supersymmetry calculations are performed for the Ni isotopes within the framework of the IBM using the concept of dynamic symmetries for the U(5)*SUF(2) limit of the graded Lie group U(6 mod 10). The excitation spectra and the electric quadrupole transitions of the isotopes belonging to the same representation of the graded Lie group and the spectroscopic factors for single-particle pick-up reactions between such isotopes are calculated and compared with experimentally observed values. The results are encouraging.
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TL;DR: In this paper, a graded Lie group U(12/10) was proposed to deal with distinguishable proton and neutron bosons as opposed to the group U (6/10), which does not make the distinction.
Abstract: The graded Lie group U(12/10) is proposed to deal with distinguishable proton and neutron bosons as opposed to the group U(6/10), which does not make the distinction. The group chain and the nuclear Hamiltonian for the excitation spectrum in the vibrational limit are given and the implications of the existence of the higher symmetry are discussed. The excitation spectra of 64,65Zn and 68,69Ge are analysed in terms of the UB+F(5)*SUF(2) limit of the group U(6/10). It is also found that the nuclei approximately obey U(12/10) symmetry. A simple symmetry-breaking calculation is performed to investigate the possible reasons for the departure from the U(12/10) symmetry.
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TL;DR: In this article, a calculation for the magnetic moment values within the framework of the U(5*SUF(2) limit of U(6/10) symmetry is presented.
Abstract: A calculation for the magnetic moment values within the framework of the U(5)*SUF(2) limit of U(6/10) symmetry is presented. A comparison with experimental values in the 1f2p shell indicates the existence of this symmetry. Further experimental measurement of the magnetic moment in this mass region may be helpful in firmly establishing the supersymmetry.
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TL;DR: In this paper, a unified description of collective nuclear states in terms of a system of interacting bosons was proposed, and both the vibrational and the rotational limit can be recovered within this model.
1,093 citations
TL;DR: In this article, the rotational limit of the interacting boson model was discussed, and the possible existence of an unbroken SU(3) symmetry was shown to be possible.
806 citations
TL;DR: In this paper, a description of collective quadrupole states in even-even nuclei in terms of representations of a boson SU(6) group was proposed and the vibrational and rotational limit was recovered.
Abstract: We propose a description of collective quadrupole states in even-even nuclei in terms of representations of a boson SU(6) group We show that within this model both the vibrational and the rotational limit can be recovered
698 citations
TL;DR: A concrete example in which a supersymmetric structure is experimentally observed is shown in this article, where the supersymmetry is generated by $L = 0$ and $L= 2$ bosons together with $j=\frac{3}{2}$ fermions.
Abstract: 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 $j=\frac{3}{2}$ fermions.
242 citations
TL;DR: In this paper, it was shown that the group O(6) of orthogonal transformations in six dimensions may be useful in classifying nuclear spectra at the end of major shells.
Abstract: We suggest that, within the framework of the interacting-boson model, the group O(6) of orthogonal transformations in six dimensions may be useful in classifying nuclear spectra at the end of major shells. We derive analytic expressions for the energy levels and electromagnetic transition rates in this limit.
170 citations