An analytical model for two-step reaction gamma-ray spectroscopy in magnetized plasmas
We present a method to analytically compute gamma-ray spectra generated via two-step fusion reactions, where a gamma-ray is emitted from the excited nucleus generated in the first step of the reaction. If one reactant is energetic and the other is at rest, the first step of the reaction can be treat...
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| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2025-01-01
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| Series: | Nuclear Fusion |
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| Online Access: | https://doi.org/10.1088/1741-4326/adc1df |
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| author | A. Valentini B.C.G. Reman M. Nocente J. Eriksson H. Järleblad D. Moseev M. Rud A. Snicker M. Salewski |
| author_facet | A. Valentini B.C.G. Reman M. Nocente J. Eriksson H. Järleblad D. Moseev M. Rud A. Snicker M. Salewski |
| author_sort | A. Valentini |
| collection | DOAJ |
| description | We present a method to analytically compute gamma-ray spectra generated via two-step fusion reactions, where a gamma-ray is emitted from the excited nucleus generated in the first step of the reaction. If one reactant is energetic and the other is at rest, the first step of the reaction can be treated analytically. The second step, which is the gamma-ray emission from the excited nucleus, can always be treated analytically. The model we derive is tested against the established forward-model code GENESIS, obtaining very satisfactory results. Our fully analytic treatment is a far less expensive technique than standard Monte Carlo methods, achieving several times faster computations. Fast calculations of spectra are especially beneficial when working with finely-resolved 3D-4D phase spaces. Furthermore, tractable analytical expressions give insight that is not provided by Monte Carlo methods. The formalism used for the first step of the reaction additionally allows the computation of birth distributions of fusion products from any beam-target reaction with one reactant at rest, e.g. fusion-born alpha distributions. |
| format | Article |
| id | doaj-art-3a1a02fd8f1d4b79a11a8374a35b27f2 |
| institution | Kabale University |
| issn | 0029-5515 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | Nuclear Fusion |
| spelling | doaj-art-3a1a02fd8f1d4b79a11a8374a35b27f22025-08-20T03:42:23ZengIOP PublishingNuclear Fusion0029-55152025-01-0165404603110.1088/1741-4326/adc1dfAn analytical model for two-step reaction gamma-ray spectroscopy in magnetized plasmasA. Valentini0https://orcid.org/0009-0003-5394-4267B.C.G. Reman1https://orcid.org/0000-0003-3507-9444M. Nocente2J. Eriksson3https://orcid.org/0000-0002-0892-3358H. Järleblad4https://orcid.org/0000-0003-1126-686XD. Moseev5M. Rud6https://orcid.org/0000-0003-2482-4461A. Snicker7M. Salewski8https://orcid.org/0000-0002-3699-679XDepartment of Physics, Technical University of Denmark , 2800 Kgs. Lyngby, Denmark; Department of Physics, University of Milano-Bicocca , 20126 Milan, ItalyDepartment of Physics, Technical University of Denmark , 2800 Kgs. Lyngby, Denmark; Laboratory for Plasma Physics LPP-ERM/KMS , B-1000 Brussels, BelgiumDepartment of Physics, University of Milano-Bicocca , 20126 Milan, ItalyDepartment of Physics and Astronomy, Uppsala University , 75120 Uppsala, SwedenDepartment of Appl. Math. & Computer Science, Technical University of Denmark , 2800 Kgs. Lyngby, DenmarkMax-Planck-Institut fur Plasmaphysik , Wendelsteinstr. 1, Greifswald 17491, GermanyDepartment of Physics, Technical University of Denmark , 2800 Kgs. Lyngby, DenmarkVTT, Technical Research Centre of Finland , Espoo, FinlandDepartment of Physics, Technical University of Denmark , 2800 Kgs. Lyngby, DenmarkWe present a method to analytically compute gamma-ray spectra generated via two-step fusion reactions, where a gamma-ray is emitted from the excited nucleus generated in the first step of the reaction. If one reactant is energetic and the other is at rest, the first step of the reaction can be treated analytically. The second step, which is the gamma-ray emission from the excited nucleus, can always be treated analytically. The model we derive is tested against the established forward-model code GENESIS, obtaining very satisfactory results. Our fully analytic treatment is a far less expensive technique than standard Monte Carlo methods, achieving several times faster computations. Fast calculations of spectra are especially beneficial when working with finely-resolved 3D-4D phase spaces. Furthermore, tractable analytical expressions give insight that is not provided by Monte Carlo methods. The formalism used for the first step of the reaction additionally allows the computation of birth distributions of fusion products from any beam-target reaction with one reactant at rest, e.g. fusion-born alpha distributions.https://doi.org/10.1088/1741-4326/adc1dffast ionsgamma-ray spectroscopyfusion productsenergy distributionanalytical model |
| spellingShingle | A. Valentini B.C.G. Reman M. Nocente J. Eriksson H. Järleblad D. Moseev M. Rud A. Snicker M. Salewski An analytical model for two-step reaction gamma-ray spectroscopy in magnetized plasmas Nuclear Fusion fast ions gamma-ray spectroscopy fusion products energy distribution analytical model |
| title | An analytical model for two-step reaction gamma-ray spectroscopy in magnetized plasmas |
| title_full | An analytical model for two-step reaction gamma-ray spectroscopy in magnetized plasmas |
| title_fullStr | An analytical model for two-step reaction gamma-ray spectroscopy in magnetized plasmas |
| title_full_unstemmed | An analytical model for two-step reaction gamma-ray spectroscopy in magnetized plasmas |
| title_short | An analytical model for two-step reaction gamma-ray spectroscopy in magnetized plasmas |
| title_sort | analytical model for two step reaction gamma ray spectroscopy in magnetized plasmas |
| topic | fast ions gamma-ray spectroscopy fusion products energy distribution analytical model |
| url | https://doi.org/10.1088/1741-4326/adc1df |
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