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    TH Meeting on Particle Physics Phenomenology

    A new hyperfine operator for leptonium and quarkonium

    by Hartmut PILKUHN (University of Karlsruhe)

    → Europe/Zurich
    TH Auditorium (CERN)

    TH Auditorium

    CERN
    Description
    Whereas the static limit of the Dirac equation for hydrogen has the proton mass in the denominator of its hyperfine operator, the two-fermion Dirac equation for leptonium (muonium and positronium) has the total cms energy there. The equation may be generalized to quarkonium, where charge conjugation invariance imposes strong restrictions on the confining scalar and vector potentials. The resulting hyperfine splitting should be quite asymmetric for lighter quarkonium.