Abstract
The configuration-space Faddeev equations are derived for p-d scattering taking into account the difference in interaction between the participant particles. Appropriate modifications have been made in the well-known configuration-space equations for n-d scattering. To show the effect of these modifications, the s-wave calculations are performed for bound state and scattering problems. We model the charge symmetry breaking effect for 3 H and 3 He with a modified Malfliet-Tjon MT I-III potential. Results obtained for elastic n-d and p-d scattering at Elab =14.1 MeV are compared with our prediction (Ref. [1]) and those of the Los-Alamos/Iowa group (Ref. [2]) .
Highlights
The isotopic formalism was developed for the study of neutron-deuteron scattering in the framework of the configuration space Faddeev equations (Ref. [3])
In the s-wave approach there exists a single equation in the spin-quartet case for quantum state α = {0, 1, 1, 3/2, 0} and our new results for n-d and p-d elastic amplitudes at Elab=14.1 MeV calculated with the Malfliet-Tjon MT-I-III potential do not practically differ from our predictions (Ref. [1]) and those of the Los-Alamos/Iowa group (Ref. [2]) and we do not present them here
In the deuteron domain (x2 finite, y2 → ∞) the asymptotic condition for the component Φ2 corresponding to elastic channel: Φ20,α1/22,1/2(x2, y2) ∼ δσ1δJ1eiΔc0 F0c(qy2) + e−iΔc0 Gc0(qy2) + iF0c(qy2) a10/12/2,01/2 ψl(x2)
Summary
The isotopic formalism was developed for the study of neutron-deuteron scattering in the framework of the configuration space Faddeev equations (Ref. [3]). The isotopic formalism was developed for the study of neutron-deuteron scattering in the framework of the configuration space Faddeev equations Presence of the electromagnetic interaction requires one to consider the neutron and proton to be different particles and precludes literal use of the isotopic formalim of As function Φ2(2, 3, 1) has no definite properties under interchange 3 ↔ 1 we encounter permutations which are not cyclic P12(231) = (321), P13(123) = (321). In terms of these operators and operators P± we obtain for the independent components Φ1 and Φ2 a system.
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