Deuteron-α scattering: Separable versus nonseparable Faddeev approach

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

doi:10.1103/physrevc.100.034609

Title: Deuteron-α scattering: Separable versus nonseparable Faddeev approach

Journal Article · Tue Sep 10 00:00:00 EDT 2019 · Physical Review C

DOI:https://doi.org/10.1103/physrevc.100.034609· OSTI ID:1577670

Hlophe, L. ^[1];

^[2];

^[3];

^[1]; Jurčiukonis, D. ^[4];

^[4]

Michigan State Univ., East Lansing, MI (United States)
Ohio Univ., Athens, OH (United States)
Forschungszentrum Jülich (Germany)
Vilnius University (Lithuania)

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. Faddeev-AGS 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 observables calculated based on separable interactions agree exactly with those based on nonseparable forces. Momentum space AGS equations are solved with separable and nonseparable forces as coupled integral equations. Deuteron-α scattering is calculated via momentum space AGS equations using the CD-Bonn neutron-proton force and a Woods-Saxon type neutron(proton)-⁴He force, for which the Pauli-forbidden S-wave bound state is projected out. Elastic as well as breakup observables are calculated and compared to results in which the interactions in the two-body sub-systems are represented by separable interactions derived in the Ernst-Shakin-Thaler (EST) framework. We find that the calculations based on the separable representation of the interactions and the original interactions give results that are in excellent agreement. Specifically, integrated cross sections and angular distributions for elastic scattering agree within ≈ 1 %, which is well below typical experimental errors. In addition, the fivefold differential cross sections corresponding to breakup of the deuteron agree extremely well.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States); Ohio Univ., Athens, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231; FG02-93ER40756

OSTI ID:: 1577670

Journal Information:: Physical Review C, Vol. 100, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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