Cluster sum rules for three-body systems with angular-momentum dependent interactions
Nuclear Theory
2008-11-26 v1
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 He. The results are compared with the available experimental data.
Cite
@article{arxiv.0801.3190,
title = {Cluster sum rules for three-body systems with angular-momentum dependent interactions},
author = {R. de Diego and E. Garrido and A. S. Jensen and D. V. Fedorov},
journal= {arXiv preprint arXiv:0801.3190},
year = {2008}
}
Comments
11 pages, 3 figures, 2 tables