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

V. Eremenko; L. Hlophe; Ch Elster; F. M. Nunes; I. J. Thompson; G. Arbanas; J. E. Escher

doi:10.1051/epjconf/201611303016

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

V. Eremenko, L. Hlophe, Ch Elster, F. M. Nunes, I. J. Thompson, G. Arbanas, J. E. Escher

Nuclear Data

Research output: Contribution to journal › Conference article › peer-review

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.

Original language	English
Article number	03016
Journal	EPJ Web of Conferences
Volume	113
DOIs	https://doi.org/10.1051/epjconf/201611303016
State	Published - Mar 25 2016
Event	21st International Conference on Few-Body Problems in Physics, FB 2015 - Chicago, United States Duration: May 18 2015 → May 22 2015

Bibliographical note

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© Owned by the authors, published by EDP Sciences, 2016.

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

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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AU - Hlophe, L.

AU - Elster, Ch

AU - Nunes, F. M.

AU - Thompson, I. J.

AU - Arbanas, G.

AU - Escher, J. E.

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

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