Abstract
We introduce the extension of the ab initio no-core shell model with continuum to describe three-body cluster systems. We present results for the ground state of 6He and show improvements with respect to the description obtained within the no-core shell model and the no-core shell model/resonating group methods.
Highlights
The ab initio no-core shell model/resonating group method (NCSM/RGM) was presented in [1, 2] as a technique that is able to describe both structure and reactions in light nuclear systems
We calculate the unknowns of the no-core shell model with continuum (NCSMC) wave function [cλ and GνJπT (x, y)] by solving the orthogonalized coupled equations obtained by projecting the Schrödinger equation on the model space spanned by NCSM eigenstates and the NCSM/RGM basis |ΦνJxπyT
We describe the 4He core by its g.s. wave function and couple the three-cluster basis with the 6He g.s. eigenstate obtained through the NCSM
Summary
The ab initio no-core shell model/resonating group method (NCSM/RGM) was presented in [1, 2] as a technique that is able to describe both structure and reactions in light nuclear systems. The capability of ab initio methods to properly describe three-body cluster states is essential for the study of nuclear systems that present such configuration This type of systems appear, e.g., in structure problems of two-nucleon halo nuclei such as 6He and 11Li, resonant systems such as 5H, and reactions with three fragments in their final state such as 3H(3H,2n)4He or 3He(3He,2p)4He. Despite the success of the NCSM/RGM in describing the asymptotic behavior of the wave functions, it has been shown that it has limitations when it comes to accurately describe systems at short to medium ranges (up to about 5 fm for the 6He case). Its expansion to three-cluster systems was recently achieved and we show here the first results for the 6He ground state (g.s)
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