{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/estimating-the-two-particle-k-matrix-for","title":"Estimating the two-particle $K$-matrix for multiple partial waves and decay channels from finite-volume energies","arxiv_id":"1707.05817","date":"2017-07-18","proceeding":null,"authors":["Colin Morningstar","John Bulava","Bijit Singha","Ruairí Brett","Jacob Fallica","Andrew Hanlon","Ben Hörz"],"abstract":"An implementation of estimating the two-to-two $K$-matrix from finite-volume energies based on the L\\\"uscher formalism and involving a Hermitian matrix known as the \"box matrix\" is described. The method includes higher partial waves and multiple decay channels. Two fitting procedures for estimating the $K$-matrix parameters, which properly incorporate all statistical covariances, are discussed. Formulas and software for handling total spins up to $S=2$ and orbital angular momenta up to $L=6$ are obtained for total momenta in several directions. First tests involving $\\rho$-meson decay to two pions include the $L=3$ and $L=5$ partial waves, and the contributions from these higher waves are found to be negligible in the elastic energy range.","url_abs":"https://arxiv.org/abs/1707.05817v1","url_pdf":"https://arxiv.org/pdf/1707.05817v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"estimating-the-two-particle-k-matrix-for","repo_url":"https://github.com/cjmorningstar10/TwoHadronsInBox","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null},{"paper_slug":"estimating-the-two-particle-k-matrix-for","repo_url":"https://github.com/laphnn/nn_c103_qcotd_swave_only","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}