Accurate calculation of low energy scattering phase shifts of charged particles in a harmonic oscillator trap
Considering the elastic scattering of two charged particles, we present two methods for numerically solving the generalized Coulomb-corrected BERW formula with high accuracy across the entire energy spectrum. We illustrate these methods using p−α scattering, employing a phenomenological p−α short-ra...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269324007883 |
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| author | Mirko Bagnarol Nir Barnea Matúš Rojik Martin Schäfer |
| author_facet | Mirko Bagnarol Nir Barnea Matúš Rojik Martin Schäfer |
| author_sort | Mirko Bagnarol |
| collection | DOAJ |
| description | Considering the elastic scattering of two charged particles, we present two methods for numerically solving the generalized Coulomb-corrected BERW formula with high accuracy across the entire energy spectrum. We illustrate these methods using p−α scattering, employing a phenomenological p−α short-range interaction. Our results reproduce the phase shifts computed with the Numerov method for all l=0 and l=1 channels. We also provide full access to the Python script used to obtain these results, which can be readily applied to a wide range of core-fragment scattering problems in nuclear and atomic physics. |
| format | Article |
| id | doaj-art-862b4522ca1f41c485defb625cacae66 |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-862b4522ca1f41c485defb625cacae662025-02-10T04:33:42ZengElsevierPhysics Letters B0370-26932025-02-01861139230Accurate calculation of low energy scattering phase shifts of charged particles in a harmonic oscillator trapMirko Bagnarol0Nir Barnea1Matúš Rojik2Martin Schäfer3The Racah Institute of Physics, The Hebrew University, Jerusalem, 9190401, Israel; Corresponding author.The Racah Institute of Physics, The Hebrew University, Jerusalem, 9190401, IsraelNuclear Physics Institute of the Czech Academy of Sciences, Rez, 25068, Czech Republic; Faculty of Mathematics and Physics, Charles University, Prague, 116 36, Czech RepublicNuclear Physics Institute of the Czech Academy of Sciences, Rez, 25068, Czech RepublicConsidering the elastic scattering of two charged particles, we present two methods for numerically solving the generalized Coulomb-corrected BERW formula with high accuracy across the entire energy spectrum. We illustrate these methods using p−α scattering, employing a phenomenological p−α short-range interaction. Our results reproduce the phase shifts computed with the Numerov method for all l=0 and l=1 channels. We also provide full access to the Python script used to obtain these results, which can be readily applied to a wide range of core-fragment scattering problems in nuclear and atomic physics.http://www.sciencedirect.com/science/article/pii/S0370269324007883 |
| spellingShingle | Mirko Bagnarol Nir Barnea Matúš Rojik Martin Schäfer Accurate calculation of low energy scattering phase shifts of charged particles in a harmonic oscillator trap Physics Letters B |
| title | Accurate calculation of low energy scattering phase shifts of charged particles in a harmonic oscillator trap |
| title_full | Accurate calculation of low energy scattering phase shifts of charged particles in a harmonic oscillator trap |
| title_fullStr | Accurate calculation of low energy scattering phase shifts of charged particles in a harmonic oscillator trap |
| title_full_unstemmed | Accurate calculation of low energy scattering phase shifts of charged particles in a harmonic oscillator trap |
| title_short | Accurate calculation of low energy scattering phase shifts of charged particles in a harmonic oscillator trap |
| title_sort | accurate calculation of low energy scattering phase shifts of charged particles in a harmonic oscillator trap |
| url | http://www.sciencedirect.com/science/article/pii/S0370269324007883 |
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