Cigar-shaped quarkonia under strong magnetic field

Abstract

Heavy quarkonia in a homogeneous magnetic field are analyzed by using a potential model with constituent quarks. To obtain anisotropic wave functions and corresponding eigenvalues, the cylindrical Gaussian expansion method is applied, where the anisotropic wave functions are expanded by a Gaussian basis in the cylindrical coordinates. Deformation of the wave functions and the mass shifts of the $S$-wave heavy quarkonia (${\eta }_c$, $J/\psi$, ${\eta }_c(2S)$, $\psi (2S)$ and bottomonia) are examined for the wide range of external magnetic field. The spatial structure of the wave functions changes drastically as adjacent energy levels cross each other. Possible observables in heavy-ion collision experiments and future lattice QCD simulations are also discussed.

5 pages, 3 figures; published version

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• Screening masses in strong external magnetic fields
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• Hadronic Paschen-Back effect
• Nucleon and $\Delta$ isobar in a strong magnetic field
• Quarkonium radiative decays from the hadronic Paschen-Back effect
• Survival probabilities of charmonia as a clue to measure transient magnetic fields
• Meson deformation by magnetic fields in lattice QCD
• Relativistic dynamics of charmonia in strong magnetic fields
• Structure of heavy quarkonia in a strong magnetic field
• Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia
• Quarkonium spectra with magnetically induced anisotropic confinement