A lattice determination of Sigma - Lambda mixing

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.

40 pages, 5 figures, published version

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Cited by in corpus (17)

• Isospin splittings of meson and baryon masses from three-flavor lattice QCD + QED
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Charge symmetry breaking in the A=4 hypernuclei
• Octet baryon isovector charges from $N_f=2+1$ lattice QCD
• Constraints on the $\Lambda$-neutron interaction from charge symmetry breaking in the ${}_{\mathbf{\Lambda }}^4\mathbf{He}$--${}_{\mathbf{\Lambda }}^4\mathbf{H}$ hypernuclei
• SU(3)${}_F$ Analysis for Beauty Baryon Decays
• Isospin splittings in the decuplet baryon spectrum from dynamical QCD+QED
• Electromagnetic contribution to $\Sigma$-$\Lambda$ mixing using lattice QCD+QED
• Patterns of flavour symmetry breaking in hadron matrix elements involving u, d and s quarks
• Inclusion of isospin breaking effects in lattice simulations
• Mixing effects of ${\Sigma }^0-{\Lambda }^0$ in ${\Lambda }_c^{+}$ decays
• Estimates of the isospin-violating ${\Lambda }_b\to {\Sigma }^0\varphi ,{\Sigma }^{0}J/\psi$ decays and the $\Sigma -\Lambda$ mixing
• Determination of the $\Sigma$--$\Lambda$ mixing angle from QCD sum rules
• Charmed states and flavour symmetry breaking
• Charge symmetry breaking in $\Lambda$ hypernuclei: updated HYP 2015 progress report
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• Determining Sigma - Lambda mixing