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DOE OSTI · 21388573

Hyperspherical effective interaction for nonlocal potentials

Barnea, N·Leidemann, W·Orlandini, G
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Abstract

The effective interaction hyperspherical-harmonics method, formulated for local forces, is generalized to accommodate nonlocal interactions. As for local potentials this formulation retains the separation of the hyper-radial part leading solely to a hyperspherical effective interaction. By applying the method to study ground-state properties of {sup 4}He with a modern effective-field-theory nucleon-nucleon potential model (Idaho-N3LO), one finds a substantial acceleration in the convergence rate of the hyperspherical-harmonics series. Also studied are the binding energies of the six-body nuclei {sup 6}He and {sup 6}Li with the JISP16 nuclear force. Again an excellent convergence is observed.

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73 NUCLEAR PHYSICS AND RADIATION PHYSICSBETA DECAY RADIOISOTOPESBETA-MINUS DECAY RADIOISOTOPESBINDING ENERGYCONVERGENCEENERGYENERGY LEVELSEVEN-EVEN NUCLEIFIELD THEORIESGROUND STATESHARMONICSHELIUM 4HELIUM 6HELIUM ISOTOPESINTERACTIONSISOTOPESLIGHT NUCLEILITHIUM 6LITHIUM ISOTOPESMILLISECONDS LIVING RADIOISOTOPESNONLOCAL POTENTIALNUCLEAR FORCESNUCLEINUCLEON-NUCLEON POTENTIALODD-ODD NUCLEIOSCILLATIONSPOTENTIALSRADIOISOTOPESSTABLE ISOTOPES

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Barnea, N, Leidemann, W, Orlandini, G. 2010-06-15. Hyperspherical effective interaction for nonlocal potentials. https://doi.org/10.1103/physrevc.81.064001

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