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

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

2008-01-21

arxiv.org/abs/0801.3190v1

Phys.Rev.C77:024001,2008

Physics

Nuclear Physics

Nuclear Theory

11 pages, 3 figures, 2 tables

Scientific paper

10.1103/PhysRevC.77.024001

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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