Effective shell-model interaction through second order for thesdshell

1977 ◽  
Vol 15 (4) ◽  
pp. 1545-1557 ◽  
Author(s):  
J. P. Vary ◽  
S. N. Yang
Keyword(s):  
Shell Model ◽  
Second Order ◽  
Model Interaction

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.

Kinetic-energy operator in the effective shell-model interaction

1992 ◽  
Vol 46 (6) ◽  
pp. 2333-2339 ◽  
Author(s):  
L. Jaqua ◽  
M. A. Hasan ◽  
J. P. Vary ◽  
B. R. Barrett
Keyword(s):  
Kinetic Energy ◽  
Shell Model ◽  
Energy Operator ◽  
Kinetic Energy Operator ◽  
Model Interaction

The convergence of the effective shell-model interaction in the sd-shell

1972 ◽  
Vol 41 (5) ◽  
pp. 568-570 ◽  
Author(s):  
E.U. Baranger ◽  
J.P. Vary
Keyword(s):  
Shell Model ◽  
Model Interaction

Shell-model calculations in the 16O region with the Tabakin potential

1968 ◽  
Vol 46 (18) ◽  
pp. 2091-2106 ◽  
Author(s):  
N. de Takacsy
Keyword(s):  
Harmonic Oscillator ◽  
Shell Model ◽  
Effective Interaction ◽  
Second Order ◽  
Model Calculations ◽  
Relative Coordinates ◽  
Intermediate States

Shell-model calculations are performed with the Tabakin potential for the simplest configurations in 14N, 15O, 16O, 17O, 18O, and 18F. The second-order ladder diagrams are calculated in relative coordinates, using harmonic oscillator intermediate states; all second-order corrections to the effective interaction are included.

Convergence Rate of Intermediate-State Summations in the Effective Shell-Model Interaction

1973 ◽  
Vol 7 (5) ◽  
pp. 1776-1785 ◽  
Author(s):  
J. P. Vary ◽  
P. U. Sauer ◽  
C. W. Wong
Keyword(s):  
Convergence Rate ◽  
Shell Model ◽  
Intermediate State ◽  
Model Interaction

Discussion of shell model interaction energies in the meson exchange picture

1987 ◽  
Vol 468 (3-4) ◽  
pp. 409-413
Author(s):  
M. Cauvin ◽  
V. Gillet ◽  
T. Kohmura ◽  
M. Danos ◽  
T. Suzuki
Keyword(s):  
Shell Model ◽  
Meson Exchange ◽  
Interaction Energies ◽  
Model Interaction
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