Model independent analysis of femtoscopic correlation functions: An application to the Ds0⁎(2317)
We face the inverse problem of obtaining the interaction between coupled channels from the correlation functions of these channels. We apply the method to the interaction of the D0K+, D+K0, and Ds+η channels, from where the Ds0⁎(2317) state emerges. We use synthetic data extracted from an interactio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-12-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269323006159 |
| _version_ | 1797454339106668544 |
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| author | Natsumi Ikeno Genaro Toledo Eulogio Oset |
| author_facet | Natsumi Ikeno Genaro Toledo Eulogio Oset |
| author_sort | Natsumi Ikeno |
| collection | DOAJ |
| description | We face the inverse problem of obtaining the interaction between coupled channels from the correlation functions of these channels. We apply the method to the interaction of the D0K+, D+K0, and Ds+η channels, from where the Ds0⁎(2317) state emerges. We use synthetic data extracted from an interaction model based on the local hidden gauge approach and find that the inverse problem can determine the existence of a bound state of the system with a precision of about 20 MeV. At the same time, we can determine the isospin nature of the bound state and its compositeness in terms of the channels. Furthermore, we evaluate the scattering length and effective range of all three channels, as well as the couplings of the bound state found to all the components. Lastly, the size parameter of the source function, R, which in principle should be a magnitude provided by the experimental teams, can be obtained from a fit to the data with relatively high accuracy. These findings show the value of the correlation function to learn about the meson–meson interaction for systems which are difficult to access in other present facilities. |
| first_indexed | 2024-03-09T15:35:51Z |
| format | Article |
| id | doaj.art-3c8556bd3abd4ebdb4ff9a5f83fc0699 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-03-09T15:35:51Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-3c8556bd3abd4ebdb4ff9a5f83fc06992023-11-26T05:11:24ZengElsevierPhysics Letters B0370-26932023-12-01847138281Model independent analysis of femtoscopic correlation functions: An application to the Ds0⁎(2317)Natsumi Ikeno0Genaro Toledo1Eulogio Oset2Department of Agricultural, Life and Environmental Sciences, Tottori University, Tottori 680-8551, Japan; Cyclotron Institute, Texas A&M University, College Station, TX 77843, USA; Corresponding author.Instituto de Física, Universidad Nacional Autonoma de Mexico, AP20-364, Ciudad de Mexico 01000, MexicoDepartamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia - CSIC, Institutos de Investigación de Paterna, Aptdo. 22085, 46071 Valencia, SpainWe face the inverse problem of obtaining the interaction between coupled channels from the correlation functions of these channels. We apply the method to the interaction of the D0K+, D+K0, and Ds+η channels, from where the Ds0⁎(2317) state emerges. We use synthetic data extracted from an interaction model based on the local hidden gauge approach and find that the inverse problem can determine the existence of a bound state of the system with a precision of about 20 MeV. At the same time, we can determine the isospin nature of the bound state and its compositeness in terms of the channels. Furthermore, we evaluate the scattering length and effective range of all three channels, as well as the couplings of the bound state found to all the components. Lastly, the size parameter of the source function, R, which in principle should be a magnitude provided by the experimental teams, can be obtained from a fit to the data with relatively high accuracy. These findings show the value of the correlation function to learn about the meson–meson interaction for systems which are difficult to access in other present facilities.http://www.sciencedirect.com/science/article/pii/S0370269323006159 |
| spellingShingle | Natsumi Ikeno Genaro Toledo Eulogio Oset Model independent analysis of femtoscopic correlation functions: An application to the Ds0⁎(2317) Physics Letters B |
| title | Model independent analysis of femtoscopic correlation functions: An application to the Ds0⁎(2317) |
| title_full | Model independent analysis of femtoscopic correlation functions: An application to the Ds0⁎(2317) |
| title_fullStr | Model independent analysis of femtoscopic correlation functions: An application to the Ds0⁎(2317) |
| title_full_unstemmed | Model independent analysis of femtoscopic correlation functions: An application to the Ds0⁎(2317) |
| title_short | Model independent analysis of femtoscopic correlation functions: An application to the Ds0⁎(2317) |
| title_sort | model independent analysis of femtoscopic correlation functions an application to the ds0 2317 |
| url | http://www.sciencedirect.com/science/article/pii/S0370269323006159 |
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