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In this paper, we extend the well-known QCD sum rules used in the calculation of the mass of heavy mesons to estimate the modification of the charged B-meson mass, mB, in the presence of an external Abelian magnetic field, eB. Two simplifying limits were considered: the weak field limit, in which the external field satisfies eB«m² (with m being any of the masses involved); and the strong field limit, in which the field strength is small in comparison to the bottom quark mass (or the B-meson mass) squared, but it is large compared to the mass of the light quarks, i.e., mu,d²«eB«mb,B². We found that mB decreases with the magnetic field in both of these limits. [ABSTRACT FROM AUTHOR]

It is well known that in noncentral heavy ion collisions a transient strong magnetic field is generated in the direction perpendicular to the reaction plane. The maximal strength of this field is estimated to be eB~mπ² ~0.02 GeV² at the Relativistic Heavy Ion Collider and eB ~ 15mπ² ~ 0.3 GeV² at the LHC. We investigate the effects of a strong magnetic field on B and D mesons, focusing on the changes of the energy levels and the masses of the bound states. Using the color evaporation model we discuss the possible changes in the production of J/ ψ and Y. [ABSTRACT FROM AUTHOR]