0000000000519247
AUTHOR
I. Moliner
The translationally-invariant coupled cluster method in coordinate space
We study a formulation of the translationally-invariant coupled cluster method in coordinate space. Previous calculations in configuration space showed poor convergence, a problem that the new formulation is expected to remedy. This question is investigated for a system of bosons interacting through the Wigner part of the Afnan-Tang S3 interaction, where previous results exist.
Alpha-cluster model for 8Be and 12C with correlated alpha particles
Abstract An alpha-cluster model is proposed for 8Be and 12C nuclei, within the framework of the resonating group method (RGM). The composing 4He clusters are described using Jastrow-correlated translationally invariant configuration-interaction (Jastrow-TICI2) wave functions. The ground-state energies of the nuclei are computed by means of a Metropolis Monte-Carlo sampling.
Jastrow-Correlated Configuration-Interaction Description of Light Nuclei
This work describes recent progress of the UMIST-VALENCIA collaboration on the ab initio study of ground states of light nuclei using realistic forces. The method presented here constructs trial variational wave functions by superimposing a central Jastrow correlation on a state-dependent translationally invariant linearly correlated state, with very promising results.
Translationally invariant treatment of pair correlations in nuclei - II. Tensor correlations
We study the extension of our translationally invariant treatment of few-body nuclear systems to include tensor forces and correlations. It is shown that a direct application of our method is not as successful for realistic V6 interactions as our previous results for V4 potentials suggested. We investigate the cause in detail for the case of $^4$He, and show that a combination of our method with that of Jastrow-correlated wave functions seems to be a lot more powerful, thereby suggesting that for mildly to strongly repulsive forces such a hybrid procedure may be an appropriate description.
Translationally invariant coupled cluster method in coordinate space for nuclei
We study a formulation of the translationally invariant coupled cluster method in coordinate space for finite nuclei. The new formulation remedies convergence problems that plagued previous calculations in configuration space. The method is applied to light nuclei using semi-realistic central interactions.
Translationally-Invariant Coupled-Cluster Method for Finite Systems
The translational invariant formulation of the coupled-cluster method is presented here at the complete SUB(2) level for a system of nucleons treated as bosons. The correlation amplitudes are solution of a non-linear coupled system of equations. These equations have been solved for light and medium systems, considering the central but still semi-realistic nucleon-nucleon S3 interaction.