New supersymmetry classification of nuclear levels in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Pt</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>195</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>

Mauthofer, A.; Stelzer, K.; Gerl, J.; Elze, Th. W.; Happ, T.; Eckert, G.; Frank, A.; Isacker, P. Van

doi:10.1103/physrevc.34.1958

Cited by 26 publications

(15 citation statements)

References 8 publications

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“…Also for the other excited states the agreement with the experimental energies is poor. So in contrast to the supersymmetry U(6/12) which allows to obtain a simultaneous description of the nuclei 19Spt and 199pt [30], the U(6/4) description of 199AH and 198pt together is less successful. Therefore ~99Au can be considered to be a good example of the U" (6) • uF(4) BoseFermi symmetry rather than of the U(6/4) supersymmetry.…”

Section: Au and Ibfmmentioning

confidence: 82%

The experimental structure of199Au and the interacting boson-fermion model

Mayerhofer

Egidy

Jolie

et al. 1991

Z. Physik A - Hadrons and Nuclei

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Section: Au and Ibfmmentioning

confidence: 82%

The experimental structure of199Au and the interacting boson-fermion model

Mayerhofer

Egidy

Jolie

et al. 1991

Z. Physik A - Hadrons and Nuclei

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“…where use is made of (10) and the Jacobi identity (6). A particularly interesting situation arises when the set (k i ) is such that [k i ,k j ] closes under commutation to form a Lie algebra as in (5).…”

Section: Symmetry Transformationsmentioning

confidence: 99%

“…A further step was then taken by Iachello [3], who suggested that a simultaneous description of even-even and odd-A nuclei was possible through the introduction of a superalgebra, energy levels in both nuclei belonging to the same (super)multiplet. The idea was subsequently tested in several regions of the nuclear table [4][5][6][7][8]. The step of including the odd-odd nucleus into this unifying framework was then taken by Van Isacker et al [9], who managed to formulate a supersymmetric theory for quartets of nuclei.…”

Section: Introductionmentioning

confidence: 99%

An Introduction to Nuclear Supersymmetry: A Unification Scheme for Nuclei

Frank¹,

Barea²,

Bijker³

2004

The Hispalensis Lectures on Nuclear Physics Vol. 2

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Summary. The main ideas behind nuclear supersymmetry are presented, starting from the basic concepts of symmetry and the methods of group theory in physics. We propose new, more stringent experimental tests that probe the supersymmetry classification in nuclei and point out that specific correlations should exist for particle transfer intensities among supersymmetric partners. We also discuss possible ways to generalize these ideas to cases where no dynamical symmetries are present. The combination of these theoretical and experimental studies may play a unifying role in nuclear phenomena.

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“…The lowest of this 1-level at 740 keV (see Fig. 2) instead of a class of states is now correlated to a 928 keV level, used in [15] and previously assigned as 1-or 3-which we found 3-to be a [ state [19]. The values of B' and B obtained in [10] are dependent on a single level in 195Au because all other levels in this fit are only related to B ~ + B (see also the discussion in [16]).…”

mentioning

confidence: 99%

“…It is encouraging that, indeed, the supersymmetry was observed to be approximately valid in 19SAu [9,14] and 194Ir [11], the two best studied odd-odd nuclei in this mass region. However, it was realised from the beginning that the ultimate candidate for the test would be the odd-odd nucleus 196Au [9] since the quartet 194,19spt,195'196Au contains the nuclei 194pt-195pt which are considered to be the best example of the U(6/12) supersymmetry [15].…”

mentioning

confidence: 99%

Supersymmetry in the spectra of complex atomic nuclei

et al. 2002

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Evidence is observed for the existence of supersymmetry from the study of the odd-odd nucleus 196Au using the 19VAu (d, t), 197Au(p, d) and 19SHg(d, a) transfer reactions [1] and combining this with recent information from 77 correlatrion studies [2]. High resolution 196pt(p, d)195Pt and 196pt(d, t)195pt transfer experiments performed in parallel yielded at the same time an improved level scheme of 195pt [3]. Using extended supersymmetry, a single fit of the six parameter eigenvalue expression yielded a complete description of all observed low-lying excited states in the four different nuclei forming the supermultiplet. The detailed comparison of the transfer amplitudes for the states up to 500 keV in the odd-odd member of the supermultiplet 196Au using a semi-microscopic transfer operator provides evidence that this description is correct.Symmetry is an important concept in physics. In finite many-body systems it appears as time reversal, parity and rotational invariance but also in the form of dynamical symmetries. Among all mesoscopic systems the atomic nucleus forms one of the best testing grounds for the use of symmetry concepts because a wealth of experimental spectroscopic information can be obtained. In the field of dynamical symmetries a remarkably versatile model was elaborated in the mid seventies by Arima and Iachello [4]. This Interacting Boson Model considers 2N valence nucleons which are coupled to N nucleon pairs, as s (l = 0) and d (l = 2) bosons. The eveneven nucleus is then described in a space spanned by the irreducible representation (irrep) IN] of UB(6). The model turned out to be very successful for medium-heavy and heavy nuclei.For the description of odd-A nuclei, a fermion needs to be coupled to the N boson system. This can be done by a semi-microscopical approach which relies on seniority in the nuclear shell model [5]. An alternative to this interacting bosonfermion approach is the construction of hamiltonians exhibiting dynamical BoseFermi symmetries that are analytically solvable. In both approaches, the bosonfermion space is spanned by the irrep [g] x [1] of UB(6) | UF(M) where M is the dimension of the single particle space. A further step towards unification was made in the early eighties when Iachello and coworkers embedded the Bose-Fermi symmetry into a graded Lie algebra U(6/M) [6,7]. The supersymmetric irrep [H},

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New supersymmetry classification of nuclear levels inPt195

Cited by 26 publications

References 8 publications

The experimental structure of199Au and the interacting boson-fermion model

The experimental structure of199Au and the interacting boson-fermion model

An Introduction to Nuclear Supersymmetry: A Unification Scheme for Nuclei

Supersymmetry in the spectra of complex atomic nuclei

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