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.

GAUTAM GANGOPADHYAY

Physics

D BANERJEE

University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

Journal of Physics G: Nuclear and Particle Physics

In this paper we have studied the low energy structure of 115-119Sn isotopes within the vibrational limit for bosons under UBF(5)⊗SUF(4) dynamical symmetry of the graded Lie group U(6/20). Calculation of excitation energy spectra of positive parity levels and B(E2) values of these isotopes has been performed using this dynamical symmetry. Comparison of experimental and calculated energy spectra and B(E2) values of these nuclei suggests the existence of an approximate U(6/20) supersymmetry in these isotopes.

Physical Review C - Nuclear Physics

U(6/20) supersymmetry in 115-119Sn isotopes

We have described a seniority conserving mapping procedure from the shell model space to the boson-quasifermion space for odd nuclei within the framework of the Otsuka-Arima-Iachello mapping which is suitable in regions where seniority is a good quantum number. We show that, when a number of levels are allowed to the odd fermion in the interacting boson-fermion model (IBFM), one can use the dynamic symmetry, if present, to unambiguously find out the parameters in the IBFM Hamiltonian. As a simple example of the technique, we have discussed the case of Ni59 where an approximate UB+F(5)×SUF(2) is known to exist. © 1994 The American Physical Society.

Physical Review C

Microscopic investigation of nuclear structure with dynamic Bose-Fermi symmetry

U(5)×SU(2) limits of the interacting boson fermion model, their associated supersymmetries, and their application toSe76andAs75

Annals of Physics

Interacting boson-fermion model of collective states II. Boson-fermion symmetries connected with the U(5) limit

New class of supersymmetry in nuclei

Physical Review Letters

Collective Nuclear States as Representations of a SU(6) Group

U(6 mod 10) supersymmetry in the Ni isotopes

Journal	Journal of Physics G: Nuclear and Particle Physics
Publisher	-
ISSN	0954-3899
Open Access	No