High-accuracy calculation of nonrelativistic Compton profile for H-like ions
In collision processes such as Compton scattering, radiative electron capture (REC) and resonant transfer and excitation (RTE) and so on, the shape of their cross sections in the impulse approximation can be determined by the so-called Compton profile (CP), which reflects the initial distribution in...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-07-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723003558 |
| _version_ | 1797802270063067136 |
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| author | Jian-Jie Wan Jie Gu Zhao-Yang Wu Fan Wu Jiao Li Hao-Xue Qiao |
| author_facet | Jian-Jie Wan Jie Gu Zhao-Yang Wu Fan Wu Jiao Li Hao-Xue Qiao |
| author_sort | Jian-Jie Wan |
| collection | DOAJ |
| description | In collision processes such as Compton scattering, radiative electron capture (REC) and resonant transfer and excitation (RTE) and so on, the shape of their cross sections in the impulse approximation can be determined by the so-called Compton profile (CP), which reflects the initial distribution in the momentum space for bound electrons in atomic and molecular targets. In this paper, the pseudospectral-fitting (PSF) method is proposed to obtain the radial wave function in position space numerically, which is proved equivalent to the analytical solution, and then the radial wave function in momentum space can be calculated by the series method analytically in order to avoid the numerical difficulties in highly oscillatory integrals. Finally, taking the ns(n=1−10) orbitals of hydrogenic ions as examples, high-accuracy Compton profile has also been calculated at an arbitrary momentum with enough significant digits by using the Gauss–Legendre quadrature. |
| first_indexed | 2024-03-13T05:03:16Z |
| format | Article |
| id | doaj.art-d8327cd1abd645eabfe2245ac80cd0f5 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-13T05:03:16Z |
| publishDate | 2023-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-d8327cd1abd645eabfe2245ac80cd0f52023-06-17T05:18:10ZengElsevierResults in Physics2211-37972023-07-0150106562High-accuracy calculation of nonrelativistic Compton profile for H-like ionsJian-Jie Wan0Jie Gu1Zhao-Yang Wu2Fan Wu3Jiao Li4Hao-Xue Qiao5College of Physics and Electronic Engineering, Northwest Normal University, 730070 Lanzhou, China; Corresponding authors.College of Physics and Electronic Engineering, Northwest Normal University, 730070 Lanzhou, ChinaCollege of Physics and Electronic Engineering, Northwest Normal University, 730070 Lanzhou, ChinaCollege of Physics and Electronic Engineering, Northwest Normal University, 730070 Lanzhou, ChinaCollege of Physics and Electronic Engineering, Northwest Normal University, 730070 Lanzhou, ChinaDepartment of Physics, School of Physics and Technology, Wuhan University, 430072 Wuhan, China; Corresponding authors.In collision processes such as Compton scattering, radiative electron capture (REC) and resonant transfer and excitation (RTE) and so on, the shape of their cross sections in the impulse approximation can be determined by the so-called Compton profile (CP), which reflects the initial distribution in the momentum space for bound electrons in atomic and molecular targets. In this paper, the pseudospectral-fitting (PSF) method is proposed to obtain the radial wave function in position space numerically, which is proved equivalent to the analytical solution, and then the radial wave function in momentum space can be calculated by the series method analytically in order to avoid the numerical difficulties in highly oscillatory integrals. Finally, taking the ns(n=1−10) orbitals of hydrogenic ions as examples, high-accuracy Compton profile has also been calculated at an arbitrary momentum with enough significant digits by using the Gauss–Legendre quadrature.http://www.sciencedirect.com/science/article/pii/S2211379723003558Compton profileElectron momentum wavefunctionPseudospectral methodGauss–Legendre quadrature |
| spellingShingle | Jian-Jie Wan Jie Gu Zhao-Yang Wu Fan Wu Jiao Li Hao-Xue Qiao High-accuracy calculation of nonrelativistic Compton profile for H-like ions Results in Physics Compton profile Electron momentum wavefunction Pseudospectral method Gauss–Legendre quadrature |
| title | High-accuracy calculation of nonrelativistic Compton profile for H-like ions |
| title_full | High-accuracy calculation of nonrelativistic Compton profile for H-like ions |
| title_fullStr | High-accuracy calculation of nonrelativistic Compton profile for H-like ions |
| title_full_unstemmed | High-accuracy calculation of nonrelativistic Compton profile for H-like ions |
| title_short | High-accuracy calculation of nonrelativistic Compton profile for H-like ions |
| title_sort | high accuracy calculation of nonrelativistic compton profile for h like ions |
| topic | Compton profile Electron momentum wavefunction Pseudospectral method Gauss–Legendre quadrature |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723003558 |
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