Configuration-Space-Faddeev Born Approximations

Details Configuration-Space-Faddeev Born Approximations Configuration-Space-Faddeev Born Approximations

2003-05-12

arxiv.org/abs/nucl-th/0305031v1

Few Body Syst. 33 (2003) 233-240

Physics

Nuclear Physics

Nuclear Theory

10 pages, latex - submitted to Few-Body Systems

Scientific paper

10.1007/s00601-003-0016-0

Alternative definitions of the Born approximation and the distorted-wave Born approximation within the framework of the configuration-space Faddeev equations are explored. The most natural definition does not correspond to the Born approximation derived from the Schroedinger equation, even though the exact T-matrices for both formalisms are equivalent. The Schroedinger form is optimal, although it is shown that the differences are numerically unimportant. The DWBA corresponding to the Faddeev equations is not channel symmetric, although numerically this is unimportant for the p-d (Coulomb) case. Convergence of the Born approximation partial-wave series is briefly investigated for p-d and n-d scattering below breakup threshold.

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