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Lattice calculation of the magnetic moments ofΔandΩ−baryons with dynamical clover fermions

2008/11/17 by Christopher Aubin, C. Aubin, Kostas Orginos +5 · 4 citations
Physics and Astronomy · #Baryon #Dipole #High-Energy Particle Collisions Research #Lattice (music) #Magnetic moment #Mathematical physics #Nuclear physics #Omega #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #hep-lat

paper · pdf · doi:10.1103/physrevd.79.051502

published as Phys.Rev.D79:051502,2009 · 4 pages, 2 figures, 2 tables, uses RevTeX

arxiv created 2008/11/17 · openalex publication_date 2009/03/04 · arxiv updated 2010/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We calculate the magnetic dipole moment of the \ensuremathΔ(1232) and \ensuremathΩ^\ensuremath- baryons with 2+1 flavors of clover fermions on anisotropic lattices using a background magnetic field. This is the first dynamical calculation of these magnetic moments using a background field technique. The calculation for \ensuremathΩ^\ensuremath- is done at the physical strange quark mass, with the result in units of the physical nuclear magneton \ensuremathμ_\ensuremathΩ^\ensuremath-=\ensuremath-1.93\ifmmode±\else\textpm\fi0.08\ifmmode±\else\textpm\fi0.12 (where the first error is statistical and the second is systematic) compared to the experimental number: \ensuremath-2.02\ifmmode±\else\textpm\fi0.05. The \ensuremathΔ has been studied at three unphysical quark masses, corresponding to pion mass m_\ensuremathπ=366, 438, and 548 MeV. The pion mass dependence is compared with the behavior obtained from chiral effective field theory.

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