Abstract
Magnetic moments of the octet baryons are computed using lattice QCD in background magnetic fields, including the first treatment of the magnetically coupled ∑0- ⋀ system. Although the computations are performed for relatively large values of the up and down quark masses, we gain new insight into the symmetries and relations between magnetic moments by working at a three-flavor mass-symmetric point. While the spinflavor symmetry in the large Nc limit of QCD is shared by the naïve constituent quark model, we find instances where quark model predictions are considerably favored over those emerging in the large Nc limit. We suggest further calculations that would shed light on the curious patterns of baryon magnetic moments.
Highlights
The electromagnetic properties of hadrons and nuclei provide physically intuitive information about their structure
In the past few years, the NPLQCD collaboration has undertaken the first lattice gauge theory computations of the magnetic properties of light nuclei. Highlights of these computations include: determination of the magnetic moments and polarizabilities of light nuclei [1, 2]; study of the simplest nuclear reaction, n + p → d + γ, through its dominant magnetic dipole transition amplitude [3]; and, uncovering hints of unitary nucleon-nucleon interactions in large magnetic fields [4]. These computations were made possible by two crucial ingredients: i). the external field technique, for which these properties can be determined from two-point correlation functions rather than three-point functions; and ii). rather large quark masses, for which adequate statistics can be accumulated to provide signals
We explore units for magnetic moments that suppress their pion-mass dependence, relations between the magnetic moments in the limit of SU(3)F, as well as relations predicted in the constituent quark model and large Nc limit
Summary
The electromagnetic properties of hadrons and nuclei provide physically intuitive information about their structure. In the past few years, the NPLQCD collaboration has undertaken the first lattice gauge theory computations of the magnetic properties of light nuclei Highlights of these computations include: determination of the magnetic moments and polarizabilities of light nuclei [1, 2]; study of the simplest nuclear reaction, n + p → d + γ, through its dominant magnetic dipole transition amplitude [3]; and, uncovering hints of unitary nucleon-nucleon interactions in large magnetic fields [4]. These computations were made possible by two crucial ingredients: i). Questions for future study are given in the concluding section, Sec. 4
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