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

Journal Article · Fri Feb 15 00:00:00 EST 2008 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.77.024001· OSTI ID:21068104

Diego, R de; Garrido, E; Jensen, A S; Fedorov, D V ^[1]

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1. Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid (Spain)

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 {sup 6}He. The results are compared with the available experimental data.

• OSTI ID: 21068104
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 77, Issue 2; Other Information: DOI: 10.1103/PhysRevC.77.024001; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
CHARGED PARTICLES
DIPOLES
EXCITATION
EXPERIMENTAL DATA
HELIUM 6
INTERFERENCE
KINETIC ENERGY
NUCLEAR POTENTIAL
PARITY
PARTICLE INTERACTIONS
SUM RULES
THREE-BODY PROBLEM