Interactions of πK, ππK and KKπ systems at maximal isospin from lattice QCD
Abstract We study the interactions of systems of two and three nondegenerate mesons composed of pions and kaons at maximal isospin using lattice QCD, specifically π+K+, π+π+K+ and K+K+π+. Utilizing the stochastic LapH method, we determine the spectrum of these s...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2023
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| Online Access: | https://hdl.handle.net/1721.1/150790 |
| _version_ | 1811068887762993152 |
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| author | Draper, Zachary T. Hanlon, Andrew D. Hörz, Ben Morningstar, Colin Romero-López, Fernando Sharpe, Stephen R. |
| author_facet | Draper, Zachary T. Hanlon, Andrew D. Hörz, Ben Morningstar, Colin Romero-López, Fernando Sharpe, Stephen R. |
| author_sort | Draper, Zachary T. |
| collection | MIT |
| description | Abstract
We study the interactions of systems of two and three nondegenerate mesons composed of pions and kaons at maximal isospin using lattice QCD, specifically π+K+, π+π+K+ and K+K+π+. Utilizing the stochastic LapH method, we determine the spectrum of these systems on two CLS Nf = 2 + 1 ensembles with pion masses of 200 MeV and 340 MeV, and include many levels in different momentum frames. We constrain the K matrices describing two- and three-particle interactions by fitting the spectrum to the results predicted by the finite-volume formalism, including up to p waves. This requires also results for the π+π+ and K+K+ spectrum, which have been obtained previously on the same configurations. We explore different fitting strategies, comparing fits to energy shifts with fits to energies boosted to the rest frame, and also comparing simultaneous global fits to all relevant two- and three-particle channels to those where we first fit two-particle channels and then add in the three-particle information. We provide the first determination of the three-particle K matrix in π+π+K+ and K+K+π+ systems, finding statistically significant nonzero results in most cases. We include s and p waves in the K matrix for π+K+ scattering, finding evidence for an attractive p-wave scattering length. We compare our results to Chiral Perturbation Theory, including an investigation of the impact of discretization errors, for which we provide the leading order predictions obtained using Wilson Chiral Perturbation Theory. |
| first_indexed | 2024-09-23T08:02:31Z |
| format | Article |
| id | mit-1721.1/150790 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:02:31Z |
| publishDate | 2023 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1507902023-05-23T03:55:58Z Interactions of πK, ππK and KKπ systems at maximal isospin from lattice QCD Draper, Zachary T. Hanlon, Andrew D. Hörz, Ben Morningstar, Colin Romero-López, Fernando Sharpe, Stephen R. Abstract We study the interactions of systems of two and three nondegenerate mesons composed of pions and kaons at maximal isospin using lattice QCD, specifically π+K+, π+π+K+ and K+K+π+. Utilizing the stochastic LapH method, we determine the spectrum of these systems on two CLS Nf = 2 + 1 ensembles with pion masses of 200 MeV and 340 MeV, and include many levels in different momentum frames. We constrain the K matrices describing two- and three-particle interactions by fitting the spectrum to the results predicted by the finite-volume formalism, including up to p waves. This requires also results for the π+π+ and K+K+ spectrum, which have been obtained previously on the same configurations. We explore different fitting strategies, comparing fits to energy shifts with fits to energies boosted to the rest frame, and also comparing simultaneous global fits to all relevant two- and three-particle channels to those where we first fit two-particle channels and then add in the three-particle information. We provide the first determination of the three-particle K matrix in π+π+K+ and K+K+π+ systems, finding statistically significant nonzero results in most cases. We include s and p waves in the K matrix for π+K+ scattering, finding evidence for an attractive p-wave scattering length. We compare our results to Chiral Perturbation Theory, including an investigation of the impact of discretization errors, for which we provide the leading order predictions obtained using Wilson Chiral Perturbation Theory. 2023-05-22T14:06:12Z 2023-05-22T14:06:12Z 2023-05-17 2023-05-21T03:12:14Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/150790 Journal of High Energy Physics. 2023 May 17;2023(5):137 PUBLISHER_CC en https://doi.org/10.1007/JHEP05(2023)137 Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Draper, Zachary T. Hanlon, Andrew D. Hörz, Ben Morningstar, Colin Romero-López, Fernando Sharpe, Stephen R. Interactions of πK, ππK and KKπ systems at maximal isospin from lattice QCD |
| title | Interactions of πK, ππK and KKπ systems at maximal isospin from lattice QCD |
| title_full | Interactions of πK, ππK and KKπ systems at maximal isospin from lattice QCD |
| title_fullStr | Interactions of πK, ππK and KKπ systems at maximal isospin from lattice QCD |
| title_full_unstemmed | Interactions of πK, ππK and KKπ systems at maximal isospin from lattice QCD |
| title_short | Interactions of πK, ππK and KKπ systems at maximal isospin from lattice QCD |
| title_sort | interactions of πk ππk and kkπ systems at maximal isospin from lattice qcd |
| url | https://hdl.handle.net/1721.1/150790 |
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