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Title: Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to 7He

Abstract

In this study, we introduce a unified approach to nuclear bound and continuum states based on the coupling of the no-core shell model (NCSM), a bound-state technique, with the no-core shell model/resonating group method (NCSM/RGM), a nuclear scattering technique. This new ab initio method, no-core shell model with continuum (NCSMC), leads to convergence properties superior to either NCSM or NCSM/RGM while providing a balanced approach to different classes of states. In the NCSMC, the ansatz for the many-nucleon wave function includes (i) a square-integrable A-nucleon component expanded in a complete harmonic oscillator basis and (ii) a binary-cluster component with asymptotic boundary conditions that can properly describe weakly bound states, resonances, and scattering. The Schrödinger equation is transformed into a system of coupled-channel integral-differential equations that we solve using a modified microscopic R-matrix formalism within a Lagrange mesh basis. We demonstrate the usefulness of the approach by investigating the unbound 7He nucleus.

Authors:
 [1];  [2];  [3]
  1. Univ. Libre de Bruxelles, Bruxelles (Belgium); TRIUMF, Vancouver, BC (Canada)
  2. TRIUMF, Vancouver, BC (Canada); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1248269
Alternate Identifier(s):
OSTI ID: 1103973
Report Number(s):
LLNL-JRNL-610077
Journal ID: ISSN 0556-2813; PRVCAN
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 87; Journal Issue: 3; Journal ID: ISSN 0556-2813
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Baroni, Simone, Navratil, Petr, and Quaglioni, Sofia. Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to 7He. United States: N. p., 2013. Web. doi:10.1103/PhysRevC.87.034326.
Baroni, Simone, Navratil, Petr, & Quaglioni, Sofia. Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to 7He. United States. doi:10.1103/PhysRevC.87.034326.
Baroni, Simone, Navratil, Petr, and Quaglioni, Sofia. Tue . "Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to 7He". United States. doi:10.1103/PhysRevC.87.034326. https://www.osti.gov/servlets/purl/1248269.
@article{osti_1248269,
title = {Unified ab initio approach to bound and unbound states: No-core shell model with continuum and its application to 7He},
author = {Baroni, Simone and Navratil, Petr and Quaglioni, Sofia},
abstractNote = {In this study, we introduce a unified approach to nuclear bound and continuum states based on the coupling of the no-core shell model (NCSM), a bound-state technique, with the no-core shell model/resonating group method (NCSM/RGM), a nuclear scattering technique. This new ab initio method, no-core shell model with continuum (NCSMC), leads to convergence properties superior to either NCSM or NCSM/RGM while providing a balanced approach to different classes of states. In the NCSMC, the ansatz for the many-nucleon wave function includes (i) a square-integrable A-nucleon component expanded in a complete harmonic oscillator basis and (ii) a binary-cluster component with asymptotic boundary conditions that can properly describe weakly bound states, resonances, and scattering. The Schrödinger equation is transformed into a system of coupled-channel integral-differential equations that we solve using a modified microscopic R-matrix formalism within a Lagrange mesh basis. We demonstrate the usefulness of the approach by investigating the unbound 7He nucleus.},
doi = {10.1103/PhysRevC.87.034326},
journal = {Physical Review. C, Nuclear Physics},
number = 3,
volume = 87,
place = {United States},
year = {2013},
month = {3}
}

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