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arXiv · 0801.3190

Cluster sum rules for three-body systems with angular-momentum dependent interactions

R. de Diego·E. Garrido·A. S. Jensen·D. V. Fedorov
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Abstract

We derive general expressions for non-energy weighted and energy-weighted cluster sum rules for systems of three charged particles. The interferences between pairs of particles are found to play a substantial role. The energy-weighted sum rule is usually determined by the kinetic energy operator, but we demonstrate that it has similar additional contributions from the angular momentum and parity dependence of two- and three-body potentials frequently used in three-body calculations. The importance of the different contributions is illustrated with the dipole excitations in $^6$He. The results are compared with the available experimental data.

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R. de Diego, E. Garrido, A. S. Jensen, D. V. Fedorov. 2008-01-21. Cluster sum rules for three-body systems with angular-momentum dependent interactions. https://doi.org/10.1103/physrevc.77.024001

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