Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and α clustering shape He6 [Three-Cluster Dynamics Within The Ab Initio No-Core Shell Model With Continuum: How Many-Body Correlations And Alpha-Clustering Shape 6He]

Quaglioni, Sofia; Romero-Redondo, Carolina; Navrátil, Petr; Hupin, Guillaume

doi:10.1103/PhysRevC.97.034332

Title: Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and $α$ clustering shape ${}^{6}{He}$ [Three-Cluster Dynamics Within The Ab Initio No-Core Shell Model With Continuum: How Many-Body Correlations And Alpha-Clustering Shape 6He]

Journal Article · Fri Mar 30 00:00:00 EDT 2018 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.97.034332· OSTI ID:1512595

Quaglioni, Sofia ^[1]; Romero-Redondo, Carolina ^[1]; Navrátil, Petr ^[2]; Hupin, Guillaume ^[3]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
TRIUMF, Vancouver, BC (Canada)
Alternative Energies and Atomic Energy Commission (CEA), Arpajon (France). DAM

We realize the treatment of bound and continuum nuclear systems in the proximity of a three-body breakup threshold within the ab initio framework of the no-core shell model with continuum. Many-body eigenstates obtained from the diagonalization of the Hamiltonian within the harmonic-oscillator expansion of the no-core shell model are coupled with continuous microscopic three-cluster states to correctly describe the nuclear wave function both in the interior and asymptotic regions. We discuss the formalism in detail and give algebraic expressions for the case of core + n + n systems. Using similarity-renormalization-group evolved nucleon-nucleon interactions, we analyze the role of ⁴He + n + n clustering and many-body correlations in the ground and low-lying continuum states of the Borromean ⁶He nucleus, and study the dependence of the energy spectrum on the resolution scale of the interaction. We show that ⁶He small binding energy and extended radii compatible with experiment can be obtained simultaneously, without resorting to extrapolations. Here, we also find that a significant portion of the ground-state energy and the narrow width of the first 2⁺ resonance stem from many-body correlations that can be interpreted as core-excitation effects.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344; SCW1158; SCW0498

OSTI ID:: 1512595

Alternate ID(s):: OSTI ID: 1430565

Report Number(s):: LLNL-JRNL-739751; PRVCAN; 893623

Journal Information:: Physical Review C, Vol. 97, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 16 works

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