Probability density of the Yukawa particle at the origin: Numerical calculation and analytical solution
The probability density of the Yukawa particle at the origin plays significant roles in fundamental physical quantities such as the darkonium production cross sections and matter-anti-matter annihilation rates. Inspired by the recent work of Napsuciale and Rodríguez (2021) [12,13] where the authors...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-12-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269321006584 |
| _version_ | 1819037272219058176 |
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| author | Xiao Hu Ji Yu Ying He Li Guang Jiao Aihua Liu Yew Kam Ho |
| author_facet | Xiao Hu Ji Yu Ying He Li Guang Jiao Aihua Liu Yew Kam Ho |
| author_sort | Xiao Hu Ji |
| collection | DOAJ |
| description | The probability density of the Yukawa particle at the origin plays significant roles in fundamental physical quantities such as the darkonium production cross sections and matter-anti-matter annihilation rates. Inspired by the recent work of Napsuciale and Rodríguez (2021) [12,13] where the authors proposed a complete analytical solution of the Yukawa problem at small screening parameters to analyze the bound state eigenenergies and probability densities at the origin, we perform in this work high-precision numerical calculation of these quantities by employing the generalized pseudospectral method. The variational method based on one-, two-, and three-parameter trial wave functions is also developed to provide an alternative analytical solution to the Yukawa problem. It is shown that these trial functions manifest simple implementation and high accuracy in the entire range of screening parameters. |
| first_indexed | 2024-12-21T08:18:47Z |
| format | Article |
| id | doaj.art-2ce4e10165de41d6bd3b05148586e39c |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-21T08:18:47Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-2ce4e10165de41d6bd3b05148586e39c2022-12-21T19:10:29ZengElsevierPhysics Letters B0370-26932021-12-01823136718Probability density of the Yukawa particle at the origin: Numerical calculation and analytical solutionXiao Hu Ji0Yu Ying He1Li Guang Jiao2Aihua Liu3Yew Kam Ho4College of Physics, Jilin University, Changchun 130012, People's Republic of ChinaCollege of Physics, Jilin University, Changchun 130012, People's Republic of ChinaCollege of Physics, Jilin University, Changchun 130012, People's Republic of China; Corresponding authors.Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, People's Republic of China; Corresponding authors.Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, TaiwanThe probability density of the Yukawa particle at the origin plays significant roles in fundamental physical quantities such as the darkonium production cross sections and matter-anti-matter annihilation rates. Inspired by the recent work of Napsuciale and Rodríguez (2021) [12,13] where the authors proposed a complete analytical solution of the Yukawa problem at small screening parameters to analyze the bound state eigenenergies and probability densities at the origin, we perform in this work high-precision numerical calculation of these quantities by employing the generalized pseudospectral method. The variational method based on one-, two-, and three-parameter trial wave functions is also developed to provide an alternative analytical solution to the Yukawa problem. It is shown that these trial functions manifest simple implementation and high accuracy in the entire range of screening parameters.http://www.sciencedirect.com/science/article/pii/S0370269321006584Yukawa potentialProbability density at the originGeneralized pseudospectral methodVariational method |
| spellingShingle | Xiao Hu Ji Yu Ying He Li Guang Jiao Aihua Liu Yew Kam Ho Probability density of the Yukawa particle at the origin: Numerical calculation and analytical solution Physics Letters B Yukawa potential Probability density at the origin Generalized pseudospectral method Variational method |
| title | Probability density of the Yukawa particle at the origin: Numerical calculation and analytical solution |
| title_full | Probability density of the Yukawa particle at the origin: Numerical calculation and analytical solution |
| title_fullStr | Probability density of the Yukawa particle at the origin: Numerical calculation and analytical solution |
| title_full_unstemmed | Probability density of the Yukawa particle at the origin: Numerical calculation and analytical solution |
| title_short | Probability density of the Yukawa particle at the origin: Numerical calculation and analytical solution |
| title_sort | probability density of the yukawa particle at the origin numerical calculation and analytical solution |
| topic | Yukawa potential Probability density at the origin Generalized pseudospectral method Variational method |
| url | http://www.sciencedirect.com/science/article/pii/S0370269321006584 |
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