2007
DOI: 10.1103/physrevc.76.064602
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Three-body description of direct nuclear reactions: Comparison with the continuum discretized coupled channels method

Abstract: The continuum discretized coupled channels (CDCC) method is compared to the exact solution of the three-body Faddeev equations in momentum space. We present results for: i) elastic and breakup observables of d+ 12 C at E d = 56 MeV, ii) elastic scattering of d+ 58 Ni at E d = 80 MeV, and iii) elastic, breakup and transfer observables for 11 Be+p at E11 Be /A = 38.4 MeV. Our comparative studies show that, in the first two cases, the CDCC method is a good approximation to the full three-body Faddeev solution, bu… Show more

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Cited by 111 publications
(154 citation statements)
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“…Table I contains the parameters for all interactions used in this application, where V 0 , r 0 , and a 0 are the depth, radius, and diffuseness of the real part, respectively; W v , W d , r i , and a i are the depth of the volume and surface imaginary potentials and their radius and diffuseness, respectively. For p + 10 Be, we use an optical potential of Woods-Saxon shape, which reproduces elastic scattering at E lab /A = 39.1 MeV [38]. (In our formulation, the Hamiltonian is energy-independent; thus this is a reasonable choice for the reactions under study, although not unique.)…”
Section: Resultsmentioning
confidence: 99%
“…Table I contains the parameters for all interactions used in this application, where V 0 , r 0 , and a 0 are the depth, radius, and diffuseness of the real part, respectively; W v , W d , r i , and a i are the depth of the volume and surface imaginary potentials and their radius and diffuseness, respectively. For p + 10 Be, we use an optical potential of Woods-Saxon shape, which reproduces elastic scattering at E lab /A = 39.1 MeV [38]. (In our formulation, the Hamiltonian is energy-independent; thus this is a reasonable choice for the reactions under study, although not unique.)…”
Section: Resultsmentioning
confidence: 99%
“…Within the adiabatic approaches, for the neutron in the initial channel we use an effective real binding potential fitted to the spectrum of nucleus A whereas in the final state the nucleon optical potential contains absorption which reproduces elastic scattering. In previous Faddeev A(p,d)B calculations V nB was real in all partial waves [25,41] while V pB was complex with parameters corresponding to the A + p state. In the present work, Faddeev calculations take V nB to be real in the partial wave with the n + B bound state but in all other partial waves V nB is taken to be complex as in the adiabatic approach in the final state.…”
Section: B Discussion On Uncertainties From Reaction Theorymentioning
confidence: 99%
“…The numerical details of solving AGS equations with potentials of general form can be found in [44,45]. Since elastic scattering, transfer, and breakup are treated on equal footing, the Faddeev/AGS framework yields the most accurate solution to the general three-body problem where all channels (elastic, transfer and breakup) are fully coupled; it already has provided important tests to other methods commonly used in reaction theory [25,46,47].…”
Section: A Faddeev Theorymentioning
confidence: 99%
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“…As a first application of the method, we consider the reaction d + 58 Ni at 80 MeV, which has been the subject of many studies in the past [3,[35][36][37]. Following our previous work [27], the proton-neutron (pn) interaction is parametrized in terms of the Poeschl-Teller potential,…”
Section: A D + 58 Ni At 80 Mevmentioning
confidence: 99%