Li6 in a three-body model with realistic Forces: Separable versus nonseparable approach

Hlophe, L.; Lei, Jin; Elster, Ch.; Nogga, A.; Nunes, F. M.

doi:10.1103/PhysRevC.96.064003

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

Journal Article · Tue Dec 26 00:00:00 EST 2017 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.96.064003· OSTI ID:1463321

Hlophe, L. ^[1]; Lei, Jin ^[2]; Elster, Ch. ^[2]; Nogga, A. ^[3]; Nunes, F. M. ^[1]

Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab. and Dept. of Physics and Astronomy
Ohio Univ., Athens, OH (United States). Inst. of Nuclear and Particle Physics and Dept. of Physics and Astronomy
Julich Research Centre, JHCP and JARA-HPC (Germany). Inst. of Plasma Physics and Nuclear Physics

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.

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Research Organization:: Michigan State Univ., East Lansing, MI (United States); Ohio Univ., Athens, OH (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); German Research Foundation (DFG); National Natural Science Foundation of China (NSFC)

Contributing Organization:: Julich Supercomputing Centre (JSC) (Germany); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Grant/Contract Number:: NA0002132; NSF-PHY-1520972; NSF-PHY-1520929; FG02-93ER40756; 11621131001; TRR110; AC02-05CH11231

OSTI ID:: 1463321

Alternate ID(s):: OSTI ID: 1414847

Journal Information:: Physical Review C, Vol. 96, Issue 6; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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

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