Electromagnetic contribution to $\Sigma$-$\Lambda$ mixing using lattice QCD+QED

Abstract

Mixing in the ${\Sigma }^0$-${\Lambda }^0$ system is a direct consequence of broken isospin symmetry and is a measure of both isospin-symmetry breaking as well as general SU(3)-flavour symmetry breaking. In this work we present a new scheme for calculating the extent of ${\Sigma }^0$-${\Lambda }^0$ mixing using simulations in lattice QCD+QED and perform several extrapolations that compare well with various past determinations. Our scheme allows us to easily contrast the QCD-only mixing case with the full QCD+QED mixing.

9 pages, 3 figures

References in corpus (7)

• The Chroma Software System for Lattice QCD
• Isoscalar meson spectroscopy from lattice QCD
• Flavour blindness and patterns of flavour symmetry breaking in lattice simulations of up, down and strange quarks
• Non-perturbative improvement of stout-smeared three flavour clover fermions
• Isospin splittings of meson and baryon masses from three-flavor lattice QCD + QED
• An update on the BQCD Hybrid Monte Carlo program
• A lattice determination of Sigma - Lambda mixing

Cited by in corpus (10)

• Charged multi-hadron systems in lattice QCD+QED
• Constraints on the $\Lambda$-neutron interaction from charge symmetry breaking in the ${}_{\mathbf{\Lambda }}^4\mathbf{He}$--${}_{\mathbf{\Lambda }}^4\mathbf{H}$ hypernuclei
• Isospin amplitudes in ${\Lambda }_b^0\to J/\psi \Lambda ({\Sigma }^0)$ and ${\Xi }_b^0\to J/\psi {\Xi }^0(\Lambda )$ decays
• In-medium $\Lambda$ isospin impurity from charge symmetry breaking in the ${}_{\Lambda }^4\mathrm{H}-{}_{\Lambda }^4\mathrm{He}$ mirror hypernuclei
• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED
• QED interaction effects on heavy meson masses from lattice QCD+QED
• State mixing and masses of the ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons from $n_f=1+1+1$ lattice QCD+QED
• Quark model relations for b-baryon decay
• Quantum Simulation of QED in Coulomb Gauge
• Estimates of the isospin-violating ${\Lambda }_b\to {\Sigma }^0\varphi ,{\Sigma }^{0}J/\psi$ decays and the $\Sigma -\Lambda$ mixing