{"title":"Chirally motivated \\(\\pi \\varSigma -{\\bar{K}}N\\) model in a finite volume","authors":"Peter C. Bruns, Aleš Cieplý","doi":"10.1140/epja/s10050-025-01519-3","DOIUrl":null,"url":null,"abstract":"<div><p>We generalize the chirally motivated <span>\\(\\pi \\varSigma -{\\bar{K}}N\\)</span> coupled channels model to the cubic finite volume and use it to calculate the stationary energy spectrum that appears in a nice agreement with the spectrum obtained in the lattice QCD simulations by the BaSc collaboration. Several other comparisons with the BaSc results are made, in particular relating their pole positions of the meson–baryon scattering matrix to the two-pole picture of <span>\\(\\varLambda (1405)\\)</span> generated by our chiral model in the infinite volume.</p></div>","PeriodicalId":786,"journal":{"name":"The European Physical Journal A","volume":"61 3","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epja/s10050-025-01519-3.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal A","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epja/s10050-025-01519-3","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
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Abstract
We generalize the chirally motivated \(\pi \varSigma -{\bar{K}}N\) coupled channels model to the cubic finite volume and use it to calculate the stationary energy spectrum that appears in a nice agreement with the spectrum obtained in the lattice QCD simulations by the BaSc collaboration. Several other comparisons with the BaSc results are made, in particular relating their pole positions of the meson–baryon scattering matrix to the two-pole picture of \(\varLambda (1405)\) generated by our chiral model in the infinite volume.
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