Estimation of compositeness with correction terms
The compositeness X is defined as the probability to observe the composite structure such as the hadronic molecule component in a bound state. One of the model-independent approaches to calculate X is the weak-binding relation. However, when the scattering length a0 is larger than the radius of the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2022-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2022/15/epjconf_hyp2022_10003.pdf |
| _version_ | 1811308848997203968 |
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| author | Kinugawa Tomona Hyodo Tetsuo |
| author_facet | Kinugawa Tomona Hyodo Tetsuo |
| author_sort | Kinugawa Tomona |
| collection | DOAJ |
| description | The compositeness X is defined as the probability to observe the composite structure such as the hadronic molecule component in a bound state. One of the model-independent approaches to calculate X is the weak-binding relation. However, when the scattering length a0 is larger than the radius of the bound state R, the central value of the compositeness X becomes larger than unity, which cannot be interpreted as a probability. For the systems with a0 > R, we need to estimate the compositeness with the correction terms. For the reasonable determination of the compositeness, we first present the quantitative estimation of the correction terms. Because the exact value of the compositeness should be contained in its definition domain 0 ≤ X ≤ 1, we propose the reasonable estimation method with the uncertainty band by excluding the region outside of the definition domain of the compositeness. We finally estimate the compositeness of physical systems, and obtain the result which we can interpret as the fraction of the composite component. |
| first_indexed | 2024-04-13T09:31:41Z |
| format | Article |
| id | doaj.art-f16e2b4bcc7246c998ff98f2069ce8d5 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-04-13T09:31:41Z |
| publishDate | 2022-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-f16e2b4bcc7246c998ff98f2069ce8d52022-12-22T02:52:15ZengEDP SciencesEPJ Web of Conferences2100-014X2022-01-012711000310.1051/epjconf/202227110003epjconf_hyp2022_10003Estimation of compositeness with correction termsKinugawa Tomona0Hyodo Tetsuo1Department of Physics, Tokyo Metropolitan UniversityDepartment of Physics, Tokyo Metropolitan UniversityThe compositeness X is defined as the probability to observe the composite structure such as the hadronic molecule component in a bound state. One of the model-independent approaches to calculate X is the weak-binding relation. However, when the scattering length a0 is larger than the radius of the bound state R, the central value of the compositeness X becomes larger than unity, which cannot be interpreted as a probability. For the systems with a0 > R, we need to estimate the compositeness with the correction terms. For the reasonable determination of the compositeness, we first present the quantitative estimation of the correction terms. Because the exact value of the compositeness should be contained in its definition domain 0 ≤ X ≤ 1, we propose the reasonable estimation method with the uncertainty band by excluding the region outside of the definition domain of the compositeness. We finally estimate the compositeness of physical systems, and obtain the result which we can interpret as the fraction of the composite component.https://www.epj-conferences.org/articles/epjconf/pdf/2022/15/epjconf_hyp2022_10003.pdf |
| spellingShingle | Kinugawa Tomona Hyodo Tetsuo Estimation of compositeness with correction terms EPJ Web of Conferences |
| title | Estimation of compositeness with correction terms |
| title_full | Estimation of compositeness with correction terms |
| title_fullStr | Estimation of compositeness with correction terms |
| title_full_unstemmed | Estimation of compositeness with correction terms |
| title_short | Estimation of compositeness with correction terms |
| title_sort | estimation of compositeness with correction terms |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2022/15/epjconf_hyp2022_10003.pdf |
| work_keys_str_mv | AT kinugawatomona estimationofcompositenesswithcorrectionterms AT hyodotetsuo estimationofcompositenesswithcorrectionterms |