Coulomb Corrections for Bose–Einstein Correlations from One- and Three-Dimensional Lévy-Type Source Functions
In the study of femtoscopic correlations in high-energy physics, besides Bose–Einstein correlations, one has to take final-state interactions into account. Amongst them, Coulomb interactions play a prominent role in the case of charged particles. Recent measurements have shown that in heavy-ion coll...
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MDPI AG
2023-07-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/9/7/328 |
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| author | Bálint Kurgyis Dániel Kincses Márton Nagy Máté Csanád |
| author_facet | Bálint Kurgyis Dániel Kincses Márton Nagy Máté Csanád |
| author_sort | Bálint Kurgyis |
| collection | DOAJ |
| description | In the study of femtoscopic correlations in high-energy physics, besides Bose–Einstein correlations, one has to take final-state interactions into account. Amongst them, Coulomb interactions play a prominent role in the case of charged particles. Recent measurements have shown that in heavy-ion collisions, Bose–Einstein correlations can be best described by Lévy-type sources instead of the more common Gaussian assumption. Furthermore, three-dimensional measurements have indicated that, depending on the choice of frame, a deviation from spherical symmetry observed under the assumption of Gaussian source functions persists in the case of Lévy-type sources. To clarify such three-dimensional Lévy-type correlation measurements, it is thus important to study the effect of Coulomb interactions in the case of non-spherical Lévy sources. We calculated the Coulomb correction factor numerically in the case of such a source function for assorted kinematic domains and parameter values using the Metropolis–Hastings algorithm and compared our results with previous methods to treat Coulomb interactions in the presence of Lévy sources. |
| first_indexed | 2024-03-11T00:35:11Z |
| format | Article |
| id | doaj.art-60dd3c4eaa254943a195f2e5f0015a8c |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-11T00:35:11Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-60dd3c4eaa254943a195f2e5f0015a8c2023-11-18T21:39:48ZengMDPI AGUniverse2218-19972023-07-019732810.3390/universe9070328Coulomb Corrections for Bose–Einstein Correlations from One- and Three-Dimensional Lévy-Type Source FunctionsBálint Kurgyis0Dániel Kincses1Márton Nagy2Máté Csanád3Department of Atomic Physics, Eötvös Loránd University (ELTE), Pázmány Péter Stny. 1/A, H-1117 Budapest, HungaryDepartment of Atomic Physics, Eötvös Loránd University (ELTE), Pázmány Péter Stny. 1/A, H-1117 Budapest, HungaryDepartment of Atomic Physics, Eötvös Loránd University (ELTE), Pázmány Péter Stny. 1/A, H-1117 Budapest, HungaryDepartment of Atomic Physics, Eötvös Loránd University (ELTE), Pázmány Péter Stny. 1/A, H-1117 Budapest, HungaryIn the study of femtoscopic correlations in high-energy physics, besides Bose–Einstein correlations, one has to take final-state interactions into account. Amongst them, Coulomb interactions play a prominent role in the case of charged particles. Recent measurements have shown that in heavy-ion collisions, Bose–Einstein correlations can be best described by Lévy-type sources instead of the more common Gaussian assumption. Furthermore, three-dimensional measurements have indicated that, depending on the choice of frame, a deviation from spherical symmetry observed under the assumption of Gaussian source functions persists in the case of Lévy-type sources. To clarify such three-dimensional Lévy-type correlation measurements, it is thus important to study the effect of Coulomb interactions in the case of non-spherical Lévy sources. We calculated the Coulomb correction factor numerically in the case of such a source function for assorted kinematic domains and parameter values using the Metropolis–Hastings algorithm and compared our results with previous methods to treat Coulomb interactions in the presence of Lévy sources.https://www.mdpi.com/2218-1997/9/7/328femtoscopyBose–Einstein correlationsLévy distributionanomalous diffusionheavy-ion collisionshigh-energy physics |
| spellingShingle | Bálint Kurgyis Dániel Kincses Márton Nagy Máté Csanád Coulomb Corrections for Bose–Einstein Correlations from One- and Three-Dimensional Lévy-Type Source Functions Universe femtoscopy Bose–Einstein correlations Lévy distribution anomalous diffusion heavy-ion collisions high-energy physics |
| title | Coulomb Corrections for Bose–Einstein Correlations from One- and Three-Dimensional Lévy-Type Source Functions |
| title_full | Coulomb Corrections for Bose–Einstein Correlations from One- and Three-Dimensional Lévy-Type Source Functions |
| title_fullStr | Coulomb Corrections for Bose–Einstein Correlations from One- and Three-Dimensional Lévy-Type Source Functions |
| title_full_unstemmed | Coulomb Corrections for Bose–Einstein Correlations from One- and Three-Dimensional Lévy-Type Source Functions |
| title_short | Coulomb Corrections for Bose–Einstein Correlations from One- and Three-Dimensional Lévy-Type Source Functions |
| title_sort | coulomb corrections for bose einstein correlations from one and three dimensional levy type source functions |
| topic | femtoscopy Bose–Einstein correlations Lévy distribution anomalous diffusion heavy-ion collisions high-energy physics |
| url | https://www.mdpi.com/2218-1997/9/7/328 |
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