A novel method for calculating Bose–Einstein correlation functions with Coulomb final-state interaction
Abstract Measurements of Bose–Einstein correlations played a crucial role in the discovery and the subsequent detailed exploration of the Quark-Gluon-Plasma (QGP) created in high-energy collisions of heavy nuclei. Such measurements gave rise to femtoscopy, a flourishing sub-field of high-energy phys...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-12161-y |
| _version_ | 1797233392374251520 |
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| author | Márton Nagy Aletta Purzsa Máté Csanád Dániel Kincses |
| author_facet | Márton Nagy Aletta Purzsa Máté Csanád Dániel Kincses |
| author_sort | Márton Nagy |
| collection | DOAJ |
| description | Abstract Measurements of Bose–Einstein correlations played a crucial role in the discovery and the subsequent detailed exploration of the Quark-Gluon-Plasma (QGP) created in high-energy collisions of heavy nuclei. Such measurements gave rise to femtoscopy, a flourishing sub-field of high-energy physics, and there are important new directions to explore and discoveries to be made in the near future. One of these important current topics is the precise investigation of the shape of the correlation functions utilizing Lévy-stable sources. In this paper, we utilize Lebesgue’s dominated convergence theorem and Fubini’s theorem to present a novel method of calculating the shape of the two-particle correlation functions, including the Coulomb final-state interaction. This method relies on an exact calculation of a large part of the necessary integrals of the Coulomb wave function and can be utilized to calculate the correlation function for any source function with an easily accessible Fourier transform. In this way, it is eminently applicable to Lévy-stable source functions. In this particular case, we find that the new method is more robust and allows the investigation of a wider parameter range than the previously utilized techniques. We present an easily applicable software package that is ready to use in experimental studies. |
| first_indexed | 2024-03-11T11:01:05Z |
| format | Article |
| id | doaj.art-61266faee40b4db383b1e080edcab6be |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T16:15:26Z |
| publishDate | 2023-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-61266faee40b4db383b1e080edcab6be2024-03-31T11:30:03ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-11-01831111810.1140/epjc/s10052-023-12161-yA novel method for calculating Bose–Einstein correlation functions with Coulomb final-state interactionMárton Nagy0Aletta Purzsa1Máté Csanád2Dániel Kincses3Eötvös Loránd UniversityEötvös Loránd UniversityEötvös Loránd UniversityEötvös Loránd UniversityAbstract Measurements of Bose–Einstein correlations played a crucial role in the discovery and the subsequent detailed exploration of the Quark-Gluon-Plasma (QGP) created in high-energy collisions of heavy nuclei. Such measurements gave rise to femtoscopy, a flourishing sub-field of high-energy physics, and there are important new directions to explore and discoveries to be made in the near future. One of these important current topics is the precise investigation of the shape of the correlation functions utilizing Lévy-stable sources. In this paper, we utilize Lebesgue’s dominated convergence theorem and Fubini’s theorem to present a novel method of calculating the shape of the two-particle correlation functions, including the Coulomb final-state interaction. This method relies on an exact calculation of a large part of the necessary integrals of the Coulomb wave function and can be utilized to calculate the correlation function for any source function with an easily accessible Fourier transform. In this way, it is eminently applicable to Lévy-stable source functions. In this particular case, we find that the new method is more robust and allows the investigation of a wider parameter range than the previously utilized techniques. We present an easily applicable software package that is ready to use in experimental studies.https://doi.org/10.1140/epjc/s10052-023-12161-y |
| spellingShingle | Márton Nagy Aletta Purzsa Máté Csanád Dániel Kincses A novel method for calculating Bose–Einstein correlation functions with Coulomb final-state interaction European Physical Journal C: Particles and Fields |
| title | A novel method for calculating Bose–Einstein correlation functions with Coulomb final-state interaction |
| title_full | A novel method for calculating Bose–Einstein correlation functions with Coulomb final-state interaction |
| title_fullStr | A novel method for calculating Bose–Einstein correlation functions with Coulomb final-state interaction |
| title_full_unstemmed | A novel method for calculating Bose–Einstein correlation functions with Coulomb final-state interaction |
| title_short | A novel method for calculating Bose–Einstein correlation functions with Coulomb final-state interaction |
| title_sort | novel method for calculating bose einstein correlation functions with coulomb final state interaction |
| url | https://doi.org/10.1140/epjc/s10052-023-12161-y |
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