Towards a Faddeev-AGS description of (d, p) reactions with heavy nuclei: Regularizing integrals with Coulomb functions.
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 b...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2016-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/epjconf/201611303016 |
| _version_ | 1818654902615801856 |
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| author | Eremenko V. Hlophe L. Elster Ch. Nunes F. M. Thompson I. J. Arbanas G. Escher J. E. |
| author_facet | Eremenko V. Hlophe L. Elster Ch. Nunes F. M. Thompson I. J. Arbanas G. Escher J. E. |
| author_sort | Eremenko V. |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-17T03:01:11Z |
| format | Article |
| id | doaj.art-74c196639c284349a725848d7de004fe |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-17T03:01:11Z |
| publishDate | 2016-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-74c196639c284349a725848d7de004fe2022-12-21T22:06:05ZengEDP SciencesEPJ Web of Conferences2100-014X2016-01-011130301610.1051/epjconf/201611303016epjconf_fb2016_03016Towards a Faddeev-AGS description of (d, p) reactions with heavy nuclei: Regularizing integrals with Coulomb functions.Eremenko V.Hlophe L.0Elster Ch.1Nunes F. M.2Thompson I. J.3Arbanas G.4Escher J. E.5INPP and Department of Physics and Astronomy, Ohio UniversityINPP and Department of Physics and Astronomy, Ohio UniversityNSCL and Dept. of Physics and Astronomy, Michigan State UniversityLawrence Livermore National LaboratoryReactor and Nuclear Systems Division, Oak Ridge National LaboratoryLawrence Livermore National LaboratoryThe 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.http://dx.doi.org/10.1051/epjconf/201611303016 |
| spellingShingle | Eremenko V. Hlophe L. Elster Ch. Nunes F. M. Thompson I. J. Arbanas G. Escher J. E. Towards a Faddeev-AGS description of (d, p) reactions with heavy nuclei: Regularizing integrals with Coulomb functions. EPJ Web of Conferences |
| title | Towards a Faddeev-AGS description of (d, p) reactions with heavy nuclei: Regularizing integrals with Coulomb functions. |
| title_full | Towards a Faddeev-AGS description of (d, p) reactions with heavy nuclei: Regularizing integrals with Coulomb functions. |
| title_fullStr | Towards a Faddeev-AGS description of (d, p) reactions with heavy nuclei: Regularizing integrals with Coulomb functions. |
| title_full_unstemmed | Towards a Faddeev-AGS description of (d, p) reactions with heavy nuclei: Regularizing integrals with Coulomb functions. |
| title_short | Towards a Faddeev-AGS description of (d, p) reactions with heavy nuclei: Regularizing integrals with Coulomb functions. |
| title_sort | towards a faddeev ags description of d p reactions with heavy nuclei regularizing integrals with coulomb functions |
| url | http://dx.doi.org/10.1051/epjconf/201611303016 |
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