The Anisotropy of the radiative decay of quarkonia in a strong magnetic field

Iwasaki, Sachio; Suzuki, Kei*   

The quantum chromodynamics, QCD, in a strong magnetic field is rigorously investigated these days, relating to the relativistic heavy ion collision experiment and strong-magnetized neutron star. The property of the hadrons in such environment is the important research subject from the point of view of comprehending QCD in a strong magnetic field and suggest in a experimental probe of the magnetic field. In this talk, we discuss the anisotropy of radiative decay of the P-wave quarkonium in a strong magnetic field based on the Lagrangian of potential non-relativistic QCD, which is an effective field theory to describe quarkonium systems. Though we assume the wave function of the eigenstates of quarkonium in vacuum on the conventional formalism, we can not use them because they mix in a magnetic field. In this study, we derive the analytic formulas of the radiative decay width in a strong magnetic field up to its leading order by introducing the polarized wave functions appearing in the limit of strong magnetic field.