A lattice determination of Sigma - Lambda mixing
R. Horsley, J. Najjar, Y. Nakamura, H. Perlt, D. Pleiter, P.E.L., Rakow, G. Schierholz, A. Schiller, H. St\"uben, J.M. Zanotti
TL;DR
This paper calculates the QCD-induced mixing angle and mass splitting between Sigma and Lambda baryons caused by isospin breaking effects using lattice methods.
Contribution
It introduces a formalism to determine the QCD mixing matrix and quantify Sigma-Lambda mixing due to isospin breaking effects.
Findings
Determined the Sigma-Lambda mixing angle from lattice QCD.
Quantified the mass splitting caused by QCD effects.
Provided a method to analyze isospin breaking in baryons.
Abstract
Isospin breaking effects in baryon octet (and decuplet) masses are due to a combination of up and down quark mass differences and electromagnetic effects and lead to small mass splittings. Between the Sigma and Lambda this mass splitting is much larger, this being mostly due to their different wavefunctions. However when isospin is broken, there is a mixing between between these states. We describe the formalism necessary to determine the QCD mixing matrix and hence find the mixing angle and mass splitting between the Sigma and Lambda particles due to QCD effects.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.