Strong contribution to octet baryon mass splittings

Abstract

We calculate the $m_d-m_u$ contribution to the mass splittings in baryonic isospin multiplets using SU(3) chiral perturbation theory and lattice QCD. Fitting isospin-averaged perturbation theory functions to PACS-CS and QCDSF-UKQCD Collaboration lattice simulations of octet baryon masses, and using the physical light quark mass ratio $m_u/m_d$ as input, allows $M_n-M_p$, $M_{{\Sigma }^{-}}-M_{{\Sigma }^{+}}$ and $M_{{\Xi }^{-}}-M_{{\Xi }^0}$ to be evaluated from the full SU(3) theory. The resulting values for each mass splitting are consistent with the experimental values after allowing for electromagnetic corrections. In the case of the nucleon, we find $M_n-M_p=2.9\pm 0.4\text{MeV}$, with the dominant uncertainty arising from the error in $m_u/m_d$.

References in corpus (5)

• Electromagnetic mass splittings of the low lying hadrons and quark masses from 2+1 flavor lattice QCD+QED
• Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
• The Electromagnetic Self-Energy Contribution to M_p - M_n and the Isovector Nucleon Magnetic Polarizability
• Sigma terms from an SU(3) chiral extrapolation
• Isospin breaking in octet baryon mass splittings

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• Baryon Octet Electromagnetic Form Factors in a confining NJL model
• SU(3) breaking in hyperon transition vector form factors
• Charge symmetry breaking from a chiral extrapolation of moments of quark distribution functions
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Electromagnetic proton-neutron mass difference
• Charge Symmetry Violation in the Electromagnetic Form Factors of the Proton
• Review on the inclusion of isospin breaking effects in lattice calculations
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• Mixing effects of ${\Sigma }^0-{\Lambda }^0$ in ${\Lambda }_c^{+}$ decays
• Magnetic Polarisability of Octet Baryons via Lattice QCD
• Quantifying the sensitivity of Big Bang Nucleosynthesis to isospin breaking with input from lattice QCD
• Charge symmetry violation in the doubly charmed cascade masses
• Progress in resolving charge symmetry violation in nucleon structure