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arXiv · 1606.05754

$π_0$ pole mass calculation in a strong magnetic field and lattice constraints

Sidney S. Avancini·Ricardo L. S. Farias·Marcus Benghi Pinto·William R. Tavares·Varese S. Timóteo
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Abstract

The $π_0$ neutral meson pole mass is calculated in a strongly magnetized medium using the SU(2) Nambu-Jona-Lasinio model within the random phase approximation (RPA) at zero temperature and zero baryonic density. We employ a magnetic field dependent coupling, $G(eB)$, fitted to reproduce lattice QCD results for the quark condensates. Divergent quantities are handled with a magnetic field independent regularization scheme in order to avoid unphysical oscillations. A comparison between the running and the fixed couplings reveals that the former produces results much closer to the predictions from recent lattice calculations. In particular, we find that the $π_0$ meson mass systematically decreases when the magnetic field increases while the scalar mass remains almost constant. We also investigate how the magnetic background influences other mesonic properties such as $f_{π_0}$ and $g_{π_0 q q}$.

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Sidney S. Avancini, Ricardo L. S. Farias, Marcus Benghi Pinto, William R. Tavares, Varese S. Timóteo. 2017-02-21. $π_0$ pole mass calculation in a strong magnetic field and lattice constraints. https://doi.org/10.1016/j.physletb.2017.02.002

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