Shell Model and Collective Excitations in 72Ge

1973 ◽  
Vol 51 (23) ◽  
pp. 2403-2406 ◽  
Author(s):  
B. Castel ◽  
M. Micklinghoff ◽  
I. P. Johnstone
Keyword(s):  
Shell Model ◽  
Satisfactory Agreement ◽  
Energy Levels ◽  
Second Order ◽  
Order Perturbation ◽  
Collective Excitations ◽  
Model Structure ◽  
Core Excitations ◽  
Two Parameters

The importance of core excitations in the shell model structure of 72Ge is investigated in a model which couples two neutrons in the p1/2 and g9/2 subshells to the low-lying excitations of 70Ge. Particle excitations from the p3/2 and f5/2 subshells are taken into account through second-order perturbation diagrams. Satisfactory agreement is obtained for energy levels and E2 and E0 rates in 72Ge in a calculation involving essentially two parameters.

Effect of Core Excitations on 29Si and on the Giant Dipole Resonance in 28Si

1973 ◽  
Vol 51 (9) ◽  
pp. 988-992 ◽  
Author(s):  
I. P. Johnstone ◽  
B. Castel
Keyword(s):  
Satisfactory Agreement ◽  
Giant Dipole Resonance ◽  
Energy Levels ◽  
Transition Rates ◽  
Dipole Strength ◽  
Dipole Resonance ◽  
Spectroscopic Factors ◽  
Core Excitations

The structure of 29Si is studied in a model which couples a neutron onto low-lying core states of 28Si. Very satisfactory agreement is obtained for energy levels, E2 transition rates, and spectroscopic factors. The splitting of the 28Si dipole strength is then investigated using a particle–core and hole–core interaction derived from this 29Si study, and the effect of various approximations is examined.

Shell-model study ofS39(β−)39Cl and the energy levels ofCl39

1989 ◽  
Vol 40 (6) ◽  
pp. 2823-2833 ◽  
Author(s):  
E. K. Warburton ◽  
J. A. Becker
Keyword(s):  
Shell Model ◽  
Energy Levels ◽  
Model Study

scholarly journals AdS superprojectors

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
E. I. Buchbinder ◽  
D. Hutchings ◽  
S. M. Kuzenko ◽  
M. Ponds
Keyword(s):  
Shell Model ◽  
Differential Operators ◽  
Second Order ◽  
Projection Operators ◽  
De Sitter ◽  
Gauge Invariant ◽  
Gauge Transformations ◽  
Four Dimensions ◽  
Higher Spin

Abstract Within the framework of $$ \mathcal{N} $$ N = 1 anti-de Sitter (AdS) supersymmetry in four dimensions, we derive superspin projection operators (or superprojectors). For a tensor superfield $$ {\mathfrak{V}}_{\alpha (m)\overset{\cdot }{\alpha }(n)}:= {\mathfrak{V}}_{\left(\alpha 1\dots \alpha m\right)\left({\overset{\cdot }{\alpha}}_1\dots {\overset{\cdot }{\alpha}}_n\right)} $$ V α m α ⋅ n ≔ V α 1 … αm α ⋅ 1 … α ⋅ n on AdS superspace, with m and n non-negative integers, the corresponding superprojector turns $$ {\mathfrak{V}}_{\alpha (m)\overset{\cdot }{\alpha }(n)} $$ V α m α ⋅ n into a multiplet with the properties of a conserved conformal supercurrent. It is demonstrated that the poles of such superprojectors correspond to (partially) massless multiplets, and the associated gauge transformations are derived. We give a systematic discussion of how to realise the unitary and the partially massless representations of the $$ \mathcal{N} $$ N = 1 AdS4 superalgebra $$ \mathfrak{osp} $$ osp (1|4) in terms of on-shell superfields. As an example, we present an off-shell model for the massive gravitino multiplet in AdS4. We also prove that the gauge-invariant actions for superconformal higher-spin multiplets factorise into products of minimal second-order differential operators.

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