Magnetic moments of light nuclei from lattice quantum chromodynamics

Abstract

We present the results of lattice QCD calculations of the magnetic moments of the lightest nuclei, the deuteron, the triton and ${}^3$He, along with those of the neutron and proton. These calculations, performed at quark masses corresponding to $m_{\pi }\sim 800$ MeV, reveal that the structure of these nuclei at unphysically heavy quark masses closely resembles that at the physical quark masses. In particular, we find that the magnetic moment of ${}^3$He differs only slightly from that of a free neutron, as is the case in nature, indicating that the shell-model configuration of two spin-paired protons and a valence neutron captures its dominant structure. Similarly a shell-model-like moment is found for the triton, ${\mu }_{{}^3\mathrm{H}}\sim {\mu }_p$. The deuteron magnetic moment is found to be equal to the nucleon isoscalar moment within the uncertainties of the calculations.

5 pages, 4 figures, published version

References in corpus (5)

• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Extracting Nucleon Magnetic Moments and Electric Polarizabilities from Lattice QCD in Background Electric Fields
• Electromagnetic and spin polarisabilities in lattice QCD
• Neutron in a Strong Magnetic Field: Finite Volume Effects
• Reconciling the lattice background field method with nonrelativistic QED: Spinor case

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• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Few-nucleon matrix elements in pionless effective field theory in a finite volume
• Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states
• Octet Baryons in Large Magnetic Fields
• Few-body bound states and resonances in finite volume
• Overview of external electromagnetism and rotation in lattice QCD
• Meson deformation by magnetic fields in lattice QCD
• Electroweak Currents from Chiral Effective Field Theory
• Local two- and three-nucleon chiral interactions
• Nuclear correlation functions using first-principle calculations of lattice quantum chromodynamics