Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules

الأصل · EN

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., m²ᵤ,d << eB << m²b,B. We found that mB decreases with the magnetic field in the both of these limits.