Heavy meson spectroscopy under strong magnetic field

Abstract

Spectra of the neutral heavy mesons, ${\eta }_c(1S,2S)$, $J/\psi$, $\psi (2S)$, ${\eta }_b(1S,2S,3S)$, ${\rm Y}(1S,2S,3S)$, $D$, $D^{\ast }$, $B$, $B^{\ast }$, $B_s$ and $B_s^{\ast }$, in a homogeneous magnetic field are analyzed in a potential model of constituent quarks. To obtain anisotropic wave functions and the corresponding eigenvalues, the cylindrical Gaussian expansion method is applied, where the wave functions for transverse and longitudinal directions in the cylindrical coordinate are expanded by the Gaussian bases separately. Energy level structures in the wide range of magnetic fields are obtained and the deformation of the wave functions is shown, which reflects effects of the spin mixing, the Zeeman splitting and quark Landau levels. The contribution from the magnetic catalysis in heavy-light mesons is discussed as a change of the light constituent quark mass.

21 pages, 15 figures

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• Entropic force and real-time dynamics of holographic quarkonium in a magnetic field
• Modification of the masses of the lightest neutral mesons in a hadronic medium under an external magnetic field
• Renormalons in a scalar self interacting theory: thermal, thermomagnetic and thermoelectric corrections for all values of temperature
• Magnetic renormalons in a scalar self interacting $\lambda {\varphi }^4$ theory
• Meson deformation by magnetic fields in lattice QCD
• Magnetic field induced hair structure in charmonium gluon-dissociation