Separable Representation of Nucleon-Nucleus Optical Potentials as Input to (d,p) Reaction Calculations
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Ohio University / OhioLINK
2016
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| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1467319283 |
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ndltd-OhioLink-oai-etd.ohiolink.edu-ohiou14673192832021-08-03T06:37:07Z Separable Representation of Nucleon-Nucleus Optical Potentials as Input to (d,p) Reaction Calculations Hlophe, Linda D. Nuclear Physics separable potentials optical potentials nuclear reactions The three-body description of deuteron-induced nuclear reactions requires the nucleon-nucleon (NN) and effective nucleon-nucleus interactions as input. The latter are given by Optical Model Potentials (OMPs), which are complex as well as energy-dependent. While a lot of effort has been dedicated to creating separable NN potentials, the same is not true for the nucleon-nucleus OMPs. In this work, separable representations of nucleon-nucleus OMPs are presented.To construct separable representations of neutron-nucleus OMPs, a scheme due to Ernst, Shakin, and Thaler (EST) is adopted as a starting point. It is shown that, by including both incoming and outgoing scattering states in the EST scheme, separable expansions for complex neutron-nucleus potentials that partially obey reciprocity are obtained. For the application to neutron-nucleus potentials that are complex as well as energy-dependent, a further generalization is carried out leading to an energy-dependent separable expansion that exactly fulfills reciprocity. By working exclusively with half-shell transition matrices in momentum space, the implementation of these separable representation schemes is straightforward. The proton-nucleus interaction consists of a short-ranged nuclear piece as well as the long-ranged point-Coulomb potential. After separating the point-Coulomb piece via the Gell-Mann-Goldberger relation, one is left with the short-ranged potential in the Coulomb basis. An extension of the separable representation schemes for neutron-nucleus OMPs to proton-nucleus systems thus requires scattering solutions in the Coulomb basis. This complicates a momentum space implementation of the aforementioned separable expansions. However, by employing the techniques first suggested by Elster, Liu, and Thaler, the separable representation schemes generalized for proton-nucleus OMPs are implemented in a similar manner to neutron-nucleus OMPs. Taking into account the internal structure of the nucleus leads to multichannel nucleon-nucleus interactions. The separable representation schemes for neutron-nucleus OMPs are thus extended to include multichannel potentials. The example of neutron scattering from deformed nuclei is employed to demonstrate the practical implementation of those schemes. It is shown that an energy-dependent multichannel separable representation scheme is needed to construct separable multichannel potentials that fulfill reciprocity. 2016-09-19 English text Ohio University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1467319283 http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1467319283 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws. |
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NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Nuclear Physics separable potentials optical potentials nuclear reactions |
| spellingShingle |
Nuclear Physics separable potentials optical potentials nuclear reactions Hlophe, Linda D. Separable Representation of Nucleon-Nucleus Optical Potentials as Input to (d,p) Reaction Calculations |
| author |
Hlophe, Linda D. |
| author_facet |
Hlophe, Linda D. |
| author_sort |
Hlophe, Linda D. |
| title |
Separable Representation of Nucleon-Nucleus Optical Potentials as Input to (d,p) Reaction Calculations |
| title_short |
Separable Representation of Nucleon-Nucleus Optical Potentials as Input to (d,p) Reaction Calculations |
| title_full |
Separable Representation of Nucleon-Nucleus Optical Potentials as Input to (d,p) Reaction Calculations |
| title_fullStr |
Separable Representation of Nucleon-Nucleus Optical Potentials as Input to (d,p) Reaction Calculations |
| title_full_unstemmed |
Separable Representation of Nucleon-Nucleus Optical Potentials as Input to (d,p) Reaction Calculations |
| title_sort |
separable representation of nucleon-nucleus optical potentials as input to (d,p) reaction calculations |
| publisher |
Ohio University / OhioLINK |
| publishDate |
2016 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1467319283 |
| work_keys_str_mv |
AT hlophelindad separablerepresentationofnucleonnucleusopticalpotentialsasinputtodpreactioncalculations |
| _version_ |
1719440205846413312 |