Resonance form factors from finite-volume correlation functions with the external field method
Abstract A novel method for the extraction of form factors of unstable particles on the lattice is proposed. The approach is based on the study of two-particle scattering in a static, spatially periodic external field by using a generalization of the Lüscher met...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2022
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| Online Access: | https://hdl.handle.net/1721.1/145940 |
| _version_ | 1811096458785456128 |
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| author | Lozano, Jonathan Meißner, Ulf-G. Romero-López, Fernando Rusetsky, Akaki Schierholz, Gerrit |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Lozano, Jonathan Meißner, Ulf-G. Romero-López, Fernando Rusetsky, Akaki Schierholz, Gerrit |
| author_sort | Lozano, Jonathan |
| collection | MIT |
| description | Abstract
A novel method for the extraction of form factors of unstable particles on the lattice is proposed. The approach is based on the study of two-particle scattering in a static, spatially periodic external field by using a generalization of the Lüscher method in the presence of such a field. It is shown that the resonance form factor is given by the derivative of the resonance pole position in the complex plane with respect to the coupling constant to the external field. Unlike the standard approach, this proposal does not suffer from problems caused by the presence of the triangle diagram. |
| first_indexed | 2024-09-23T16:44:00Z |
| format | Article |
| id | mit-1721.1/145940 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:44:00Z |
| publishDate | 2022 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1459402023-08-11T18:58:06Z Resonance form factors from finite-volume correlation functions with the external field method Lozano, Jonathan Meißner, Ulf-G. Romero-López, Fernando Rusetsky, Akaki Schierholz, Gerrit Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Abstract A novel method for the extraction of form factors of unstable particles on the lattice is proposed. The approach is based on the study of two-particle scattering in a static, spatially periodic external field by using a generalization of the Lüscher method in the presence of such a field. It is shown that the resonance form factor is given by the derivative of the resonance pole position in the complex plane with respect to the coupling constant to the external field. Unlike the standard approach, this proposal does not suffer from problems caused by the presence of the triangle diagram. 2022-10-24T12:39:06Z 2022-10-24T12:39:06Z 2022-10-17 2022-10-23T03:20:44Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/145940 Journal of High Energy Physics. 2022 Oct 17;2022(10):106 PUBLISHER_CC en https://doi.org/10.1007/JHEP10(2022)106 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Lozano, Jonathan Meißner, Ulf-G. Romero-López, Fernando Rusetsky, Akaki Schierholz, Gerrit Resonance form factors from finite-volume correlation functions with the external field method |
| title | Resonance form factors from finite-volume correlation functions with the external field method |
| title_full | Resonance form factors from finite-volume correlation functions with the external field method |
| title_fullStr | Resonance form factors from finite-volume correlation functions with the external field method |
| title_full_unstemmed | Resonance form factors from finite-volume correlation functions with the external field method |
| title_short | Resonance form factors from finite-volume correlation functions with the external field method |
| title_sort | resonance form factors from finite volume correlation functions with the external field method |
| url | https://hdl.handle.net/1721.1/145940 |
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