Boson-Fermion symmetries and supersymmetries in nuclear physics

One nucleon transfer operator and nuclear supersymmetry

“…Up to now, most calculations in the n-SUSY scheme have been performed taking the simplest transfer operator, which includes only the first term in the series (6). We present here calculations with three different truncations of the operator (6).…”

“…We present here calculations with three different truncations of the operator (6). The first one keeps just the first term.…”

“…The second includes the first and the second terms. Finally, the third calculation is performed with all the terms given explicitly in (6). By comparing the results of different truncations, we will be able to see the relative importance of the various terms and the relevance of the choice of the transfer operator in describing nuclei in the very restricted dynamical n-SUSY scheme.…”

“…The occurrence of supersymmetry in nuclei (n-SUSY) [1][2][3] has been a matter of interest during the last 20 years [4][5][6]. During this time the theoretical and experimental effort for identifying some nuclei as examples of the realization of n-SUSY was mainly concentrated in the comparison of the predicted and observed level schemes.…”

Supersymmetry and electromagneticE2 transitions

“…The bosons of the model are usual bosons of the Interacting Boson Model (IBM4) [-61 with angular * Work supported in part by Polish Ministry of National Education, Project CPBP 01.09 ** On leave from the M. Curie-Sktodowska University, Lublin, Poland momentum numbers /=0 or 2 (s-bosons and d-bosons) but with a spin a and an isospin z quantum numbers which take on values 0 or 1 [3].…”