${}^{6}\mathrm{Li}$ in a threebody 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 threebody 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 ^{6}Li is calculated via momentum space Faddeev equations using the CDBonn neutronproton force and a WoodsSaxon type neutron(proton)^{4}He force. For the latter the Pauliforbidden Swave bound state is projected out. This result is compared to a calculation in which the interactions in the twobody subsystems are represented by separable interactions derived in the ErnstShakinThaler (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 »
 Authors:

 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 JARAHPC (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; NSFPHY1520972; NSFPHY1520929; FG0293ER40756; 11621131001; TRR110; AC0205CH11231
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: 6; Journal ID: ISSN 24699985
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; fewbody 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 threebody 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 threebody 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 threebody 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 threebody 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 threebody 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 CDBonn neutronproton force and a WoodsSaxon type neutron(proton)4He force. For the latter the Pauliforbidden Swave bound state is projected out. This result is compared to a calculation in which the interactions in the twobody subsystems are represented by separable interactions derived in the ErnstShakinThaler (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}
}
Web of Science
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