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Wave Functions of the Proton Ground State in the Presence of a Uniform Background Magnetic Field in Lattice QCD

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arxiv 1011.1975 v2 pith:PAEEOKBK submitted 2010-11-09 hep-lat

classification hep-lat
keywords fieldmagneticbackgrounddistributiondistributionsfunctionsgroundpresence
verification ladder T0 review T1 audit T2 compute T3 formal
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We calculate the probability distributions of quarks in the ground state of the proton, and how they are affected in the presence of a constant background magnetic field. We focus on wave functions in the Landau and Coulomb gauges. We observe the formation of a scalar u-d diquark clustering. The overall distortion of the quark probability distribution under a very large magnetic field, as demanded by the quantisation conditions on the field, is quite small. The effect is to elongate the distributions along the external field axis while localizing the remainder of the distribution.

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  1. Magnetic polarisability of octet baryons near the physical quark-mass point

    hep-lat 2024-12 conditional novelty 6.0 of 10

    First lattice QCD extraction of octet baryon magnetic polarisabilities at mπ=156 MeV, enabled by a new exceptional-configuration removal algorithm.

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