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arXiv · 1508.05061

Towards a Faddeev-AGS description of $(d,p)$ reactions with heavy nuclei: Regularizing integrals with Coulomb functions

The TORUS Collaboration·V. Eremenko·L. Hlophe·Ch. Elster·F. M. Nunes·I. J. Thompson·G. Arbanas·J. E. Escher
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Abstract

The repulsive Coulomb force poses severe challenges when describing $(d, p)$ reactions for highly charged nuclei as a three-body problem. Casting Faddeev-AGS equations in a Coulomb basis avoids introducing screening of the Coulomb force. However, momentum space partial-wave $t$-matrix elements need to be evaluated in this basis. When those $t$-matrices are separable, the evaluation requires the folding of a form factor, depending on one momentum variable, with a momentum space partial-wave Coulomb function, which has a singular behavior at the external momentum $q$. We developed an improved regularization scheme to calculate Coulomb distorted form factors as the integral over the Coulomb function and complex nuclear form factors.

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The TORUS Collaboration, V. Eremenko, L. Hlophe, Ch. Elster, F. M. Nunes, I. J. Thompson, G. Arbanas, J. E. Escher. 2015-08-20. Towards a Faddeev-AGS description of $(d,p)$ reactions with heavy nuclei: Regularizing integrals with Coulomb functions. https://arxiv.org/abs/1508.05061

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