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Magnetic moments of light nuclei from lattice quantum chromodynamics

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arxiv 1409.3556 v2 pith:MHX5X6NV submitted 2014-09-11 hep-lat hep-phnucl-th

classification hep-lathep-phnucl-th
keywords magneticmomentcalculationsmassesneutronnucleiquarkdeuteron
verification ladder T0 review T1 audit T2 compute T3 formal
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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, $\mu_{{}^3{\rm H}} \sim \mu_p$. The deuteron magnetic moment is found to be equal to the nucleon isoscalar moment within the uncertainties of the calculations.

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