Three-cluster dynamics within an ab initio framework

Quaglioni, Sofia; Romero-Redondo, Carolina; Navratil, Petr

doi:10.1103/PhysRevC.88.034320

Title: Three-cluster dynamics within an ab initio framework

Journal Article · Thu Sep 26 00:00:00 EDT 2013 · Physical Review C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.88.034320· OSTI ID:1248289

Quaglioni, Sofia ^[1]; Romero-Redondo, Carolina ^[2]; Navratil, Petr ^[2]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
TRIUMF, Vancouver, BC (Canada)

In this study, we introduce a fully antisymmetrized treatment of three-cluster dynamics within the ab initio framework of the no-core shell model/resonating-group method. Energy-independent nonlocal interactions among the three nuclear fragments are obtained from realistic nucleon-nucleon interactions and consistent ab initio many-body wave functions of the clusters. The three-cluster Schrödinger equation is solved with bound-state boundary conditions by means of the hyperspherical-harmonic method on a Lagrange mesh. We discuss the formalism in detail and give algebraic expressions for systems of two single nucleons plus a nucleus. Using a soft similarity-renormalization-group evolved chiral nucleon-nucleon potential, we apply the method to a ⁴He+n+n description of ⁶He and compare the results to experiment and to a six-body diagonalization of the Hamiltonian performed within the harmonic-oscillator expansions of the no-core shell model. Differences between the two calculations provide a measure of core (⁴He) polarization 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)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1248289

Report Number(s):: LLNL-JRNL-641181; PRVCAN

Journal Information:: Physical Review C, Nuclear Physics, Vol. 88, Issue 3; ISSN 0556-2813

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 28 works

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