Extracting the Omega- electric quadrupole moment from lattice QCD data

Abstract

The Omega- has an extremely long lifetime, and is the most stable of the baryons with spin 3/2. Therefore the Omega- magnetic moment is very accurately known. Nevertheless, its electric quadrupole moment was never measured, although estimates exist in different formalisms. In principle, lattice QCD simulations provide at present the most appropriate way to estimate the Omega- form factors, as function of the square of the transferred four-momentum, Q2, since it describes baryon systems at the physical mass for the strange quark. However, lattice QCD form factors, and in particular GE2, are determined at finite Q2 only, and the extraction of the electric quadrupole moment, Q_Omega= GE2(0) e/(2 M_Omega), involves an extrapolation of the numerical lattice results. In this work we reproduce the lattice QCD data with a covariant spectator quark model for Omega- which includes a mixture of S and two D states for the relative quark-diquark motion. Once the model is calibrated, it is used to determine Q_Omega. Our prediction is Q_Omega= (0.96 +/- 0.02)*10^(-2) efm2 [GE2(0)=0.680 +/- 0.012].

To appear in Phys. Rev. D. Version with small modifications. 8 pages, 1 figure

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• Electromagnetic form factors of the ${\Omega }^{-}$ baryon in the spacelike and timelike regions
• A covariant model for the decuplet to octet Dalitz decays
• Electromagnetic $|G_E/G_M|$ ratios of hyperons at large timelike $q^2$
• Octet baryon electromagnetic form factor double ratios $(G_E^{\ast }/G_M^{\ast })/(G_E/G_M)$ in a nuclear medium
• Holographic estimate of the meson cloud contribution to nucleon axial form factor
• Weak interaction axial form factors of the octet baryons in nuclear medium
• Electroweak form factors of baryons in dense nuclear matter
• Many Facets of Strangeness Nuclear Physics with Stored Antiprotons
• Octet baryon electroweak form factors in dense nuclear matter
• Electric and magnetic timelike form factors of hyperons at large transfer momentum
• A covariant model for the negative parity resonances of the nucleon
• A Relativistic Model for the Electromagnetic Structure of Baryons from the 3rd Resonance Region