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Title: Three-cluster dynamics within an ab initio framework

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.
Authors:
 [1] ;  [2] ;  [2]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. TRIUMF, Vancouver, BC (Canada)
Publication Date:
Report Number(s):
LLNL-JRNL-641181
Journal ID: ISSN 0556-2813; PRVCAN
Grant/Contract Number:
AC52-07NA27344
Type:
Accepted Manuscript
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 88; Journal Issue: 3; Journal ID: ISSN 0556-2813
Publisher:
American Physical Society (APS)
Research Org:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
OSTI Identifier:
1248289

Quaglioni, Sofia, Romero-Redondo, Carolina, and Navratil, Petr. Three-cluster dynamics within an ab initio framework. United States: N. p., Web. doi:10.1103/PhysRevC.88.034320.
Quaglioni, Sofia, Romero-Redondo, Carolina, & Navratil, Petr. Three-cluster dynamics within an ab initio framework. United States. doi:10.1103/PhysRevC.88.034320.
Quaglioni, Sofia, Romero-Redondo, Carolina, and Navratil, Petr. 2013. "Three-cluster dynamics within an ab initio framework". United States. doi:10.1103/PhysRevC.88.034320. https://www.osti.gov/servlets/purl/1248289.
@article{osti_1248289,
title = {Three-cluster dynamics within an ab initio framework},
author = {Quaglioni, Sofia and Romero-Redondo, Carolina and Navratil, Petr},
abstractNote = {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.},
doi = {10.1103/PhysRevC.88.034320},
journal = {Physical Review. C, Nuclear Physics},
number = 3,
volume = 88,
place = {United States},
year = {2013},
month = {9}
}