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Title: Li 6 in a three-body model with realistic Forces: Separable versus nonseparable approach

Abstract

Background: Deuteron induced reactions are widely used to probe nuclear structure and astrophysical information. Those (d, p) reactions may be viewed as three-body reactions and described with Faddeev techniques. Purpose: Faddeev equations in momentum space have a long tradition of utilizing separable interactions in order to arrive at sets of coupled integral equations in one variable. However, it needs to be demonstrated that their solution based on separable interactions agrees exactly with solutions based on nonseparable forces. Methods: Momentum space Faddeev equations are solved with nonseparable and separable forces as coupled integral equations. Results: The ground state of 6Li is calculated via momentum space Faddeev equations using the CD-Bonn neutron-proton force and a Woods-Saxon type neutron(proton)-4He force. For the latter the Pauli-forbidden S-wave bound state is projected out. This result is compared to a calculation in which the interactions in the two-body subsystems are represented by separable interactions derived in the Ernst-Shakin-Thaler (EST) framework. Conclusions: We find that calculations based on the separable representation of the interactions and the original interactions give results that agree to four significant figures for the binding energy, provided that energy and momentum support points of the EST expansion are chosen independently. The momentum distributionsmore » computed in both approaches also fully agree with each other.« less

Authors:
 [1];  [2];  [2];  [3];  [1]
  1. Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab. and Dept. of Physics and Astronomy
  2. Ohio Univ., Athens, OH (United States). Inst. of Nuclear and Particle Physics and Dept. of Physics and Astronomy
  3. Julich Research Centre, JHCP and JARA-HPC (Germany). Inst. of Plasma Physics and Nuclear Physics
Publication Date:
Research Org.:
Michigan State Univ., East Lansing, MI (United States); Ohio Univ., Athens, OH (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); German Research Foundation (DFG); National Natural Science Foundation of China (NNSFC)
Contributing Org.:
Julich Supercomputing Centre (JSC) (Germany); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
OSTI Identifier:
1463321
Alternate Identifier(s):
OSTI ID: 1414847
Grant/Contract Number:  
NA0002132; NSF-PHY-1520972; NSF-PHY-1520929; FG02-93ER40756; 11621131001; TRR110; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 96; Journal Issue: 6; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; few-body systems; binding energies and masses; light nuclei; nuclear forces; H & He induced nuclear reactions; 6 ≤ A ≤ 19

Citation Formats

Hlophe, L., Lei, Jin, Elster, Ch., Nogga, A., and Nunes, F. M. Li6 in a three-body model with realistic Forces: Separable versus nonseparable approach. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.96.064003.
Hlophe, L., Lei, Jin, Elster, Ch., Nogga, A., & Nunes, F. M. Li6 in a three-body model with realistic Forces: Separable versus nonseparable approach. United States. doi:10.1103/PhysRevC.96.064003.
Hlophe, L., Lei, Jin, Elster, Ch., Nogga, A., and Nunes, F. M. Tue . "Li6 in a three-body model with realistic Forces: Separable versus nonseparable approach". United States. doi:10.1103/PhysRevC.96.064003. https://www.osti.gov/servlets/purl/1463321.
@article{osti_1463321,
title = {Li6 in a three-body model with realistic Forces: Separable versus nonseparable approach},
author = {Hlophe, L. and Lei, Jin and Elster, Ch. and Nogga, A. and Nunes, F. M.},
abstractNote = {Background: Deuteron induced reactions are widely used to probe nuclear structure and astrophysical information. Those (d, p) reactions may be viewed as three-body reactions and described with Faddeev techniques. Purpose: Faddeev equations in momentum space have a long tradition of utilizing separable interactions in order to arrive at sets of coupled integral equations in one variable. However, it needs to be demonstrated that their solution based on separable interactions agrees exactly with solutions based on nonseparable forces. Methods: Momentum space Faddeev equations are solved with nonseparable and separable forces as coupled integral equations. Results: The ground state of 6Li is calculated via momentum space Faddeev equations using the CD-Bonn neutron-proton force and a Woods-Saxon type neutron(proton)-4He force. For the latter the Pauli-forbidden S-wave bound state is projected out. This result is compared to a calculation in which the interactions in the two-body subsystems are represented by separable interactions derived in the Ernst-Shakin-Thaler (EST) framework. Conclusions: We find that calculations based on the separable representation of the interactions and the original interactions give results that agree to four significant figures for the binding energy, provided that energy and momentum support points of the EST expansion are chosen independently. The momentum distributions computed in both approaches also fully agree with each other.},
doi = {10.1103/PhysRevC.96.064003},
journal = {Physical Review C},
number = 6,
volume = 96,
place = {United States},
year = {2017},
month = {12}
}

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